diff --git "a/data/dm_maths/full_data/10380_11255.jsonl" "b/data/dm_maths/full_data/10380_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10380_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let p be (4 + 848)\/4 - -4. Let g be (-364)\/(-124) - (-14)\/p. Solve -g*s + m = -3, 0 = s + s - m - 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/4*2 + (-39)\/78. Solve -r*s + s = -2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -453 (c) -0.001 (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 6:02 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*t - 5. Is 12 a factor of (t + (2 - 4))*-12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169449 is divided by 439.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79.87 + 83.79. Is d at most 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u**5 + 145*u**4 - 249*u**3 - 385*u**2 + 25*u = 0.\nAnswer: -1, 0, 1\/16, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 4*f - f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 = -m, 0 = 3*q - 0*m - 4*m - 4. Suppose q = 2*s - 4*s + 6. Suppose -4*z - 16 = 0, 3*k + s*z + 1 - 28 = 0. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/21876 and 35\/834.\nAnswer: 3040764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12227*g - 12*g**3 + 10*g**3 + 12*g**2 - 15481*g + 25*g**3 wrt g?\nAnswer: 138*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1750 divide 1236270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51496 and 18?\nAnswer: 463464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4390 = -5969*b + 6408*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26507, -53010, -79513, -106016, -132519?\nAnswer: -159022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 10a91989?\nAnswer: -10a91990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 414 = -5*b - g, 0 = -5*b + 2*g + 426. What is the highest common divisor of b and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_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 u(p) = -p**3 + 27*p**2 + 2*p - 48. Let j be u(26). Suppose 120 = -14*b + j. Which is greater: b or 2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -373 at most -372?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 2:09 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 9. Let g be 7\/(14\/p) + 1*-1. Let z = g - -158. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 6. Let d be (9\/(-2))\/(-9)*0. Give q(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*f + 2*h + 8, -5*f + 5*h = 0. Solve 2 = -2*x - u - 1, -f*x - 11 = -u for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 63*a - 9132. Let h be u(145). Solve 3*z - 3*d - h = 0, 9*d - 7 = -z + 12*d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/27351 or 1?\nAnswer: -2\/27351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -7 - 5*x + x + x + x. Calculate the remainder when 28\/2 - (0 + 0) is divided by u(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 - 763 = -2*g. List the prime factors of g.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-18\/7)\/((u*u**12)\/u*u) assuming u is positive.\nAnswer: u**(-109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003723104346 to 7 dps.\nAnswer: -0.0037231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 5*y**2 + y + 2. Let h be v(-5). Let m = 284\/5 + -3219\/55. Let p = m + 2. Which is the biggest value? (a) p (b) h (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (27 - 29 - 3)) + (0 - -10)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 4*j**2 - 3*j - 4. Let n be s(-4). Let u be ((n\/76)\/(-2))\/(-1)*1. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/123 and 113\/168.\nAnswer: 6888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 9657 = -4*h, -f + 5*f - 7235 = -3*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**2 + 417*m = 0.\nAnswer: -139, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -53 and -0.3?\nAnswer: 15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-20))\/((12\/3)\/(-36))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyyiyioi. What is prob of sequence iiy?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 4*t**2 + 45*t + 1. Let q be z(-9). Let h(b) = -16*b**3 - 12*b + 12. Let f(v) = -v**3 - v + 1. Calculate q*h(d) - 12*f(d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-3\/7))\/p**(-6\/7)*(p**0)**(-38)*(p**(2\/7))**(4\/3)\/((p*p**5*p)\/(p\/p**(-3\/8))) assuming p is positive.\nAnswer: p**(-473\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 9*w**2 - 15*w + 9. Let g = -60 - -67. Let y be f(g). Solve 4*z = 22 - y, -2*v = -2*z + 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 20, -6\/11, 1\/14, -2, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7409461*s**3 - 7390727*s**2.\nAnswer: -44456766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 7*h**2 - 4*h - 3. Let t be n(-7). Let w be (-5)\/(-2)*(-20)\/t. Is -2 + 15 + w + 2 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 37.4?\nAnswer: -112.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2310863?\nAnswer: 43, 61, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 12:30 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*p + 537*p = 711158. Calculate the remainder when p is divided by 222.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21\/2 (b) -0.5 (c) 2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 177681, 177680, 177679, 177678, 177677, 177676?\n\"Answer: -s + 177682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1683720 to the nearest integer?\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/380548 and -53\/70.\nAnswer: 1902740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w**3 + 4*w**2 - 4*w - 3. Let b(c) = -c**3 - 4*c**2 - 3*c - 4. Let o be b(-3). Let q(j) = 1 - j + 2 + j**2 - 4 - j**3. Calculate o*q(z) + p(z).\nAnswer: -z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 + -18. Suppose 3*k - j = 2*k. Suppose -k = -3*b - 0. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-16) + 3\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2963 - 2*p + 9*p - 5918 + 2955.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) 4 (c) -12956\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 6*x**2 + x - 1. Suppose -t + 2 = s, 4*s + 2*t = 3*s + 1. Let h be (-2)\/((-6)\/s) + 5. What is the smallest common multiple of 6 and m(h)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2376 - -3388. Suppose 5*j - 1249 = -3*h, 4*j - 6*h - v = -2*h. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 divided by -8.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -16*p**3 - 1883*p**2 + 589*p - 104. Determine m(-118).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**3 - 3*f**2 - 7*f. Let a(u) = -17*u**3 + 13*u**2 + 29*u. What is -2*a(s) - 9*k(s)?\nAnswer: -2*s**3 + s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1434 equal to -1429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 14*t**2 - 11*t - 20. Determine w(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**9\/9072 - w**7\/1260 + w**5\/360 - 4*w**3\/3 + 3. Let d(i) be the third derivative of c(i). Factor d(g).\nAnswer: g*(g - 1)**2*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 343242508 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 26 + 23 - 2*q)*(-3 - 3 + 3).\nAnswer: 6*q - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100100 + -11111?\nAnswer: -10000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - s - 71, 4*s - 6*s = 4*t - 98. Determine p, given that 14*p**3 - 52*p**2 + t*p - 52*p**3 + 18*p**3 = 0.\nAnswer: -3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**2\/4 - 14769*c\/2 + 5917663\/4 = 0.\nAnswer: -29737, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2855320.\nAnswer: 2, 5, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4155492 and 14733108.\nAnswer: 162064188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/2*-6 - (-133 + 145). Let z be 1 - (-1 + (-120)\/(-57)). Which is the fourth biggest value? (a) z (b) f (c) 0.3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 2896 - 2914 = 0, 6*j - 5*j + 120 = -38*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 1. Let m(i) = 4*i**3 + 22. Let c(v) = 3*d(v) - m(v). Differentiate c(t) wrt t.\nAnswer: -12*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1305 - 1226 + 2531 - 8*h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3*j - 166104*h**2*j**3 - 2*h*j**3 - 2*h + 3*j**3 + 1722*j + 5 wrt h.\nAnswer: 6*h*j - 332208*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - q - 4. Let x(u) = -u**3 - 15*u**2 + 17*u + 81. Let v(f) = -3*t(f) - x(f). Is v(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.97 - -0.77. Let z = 2305 + -2304.6. Which is the second biggest value? (a) l (b) z (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -1, -5, -3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126, -450, -1388, -3258, -6378?\nAnswer: -11066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 734336.8 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56 - 54) + (-57 - (12 + -7))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -281633109 rounded to the nearest 100000?\nAnswer: -281600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -706, -718, -730, -742, -754, -766?\n\"Answer: -12*y - 694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 17 + 14)*(-175*z**4 + 19768*z**2 - 19768*z**2) to d*z**2 + c*z + r*z**4 + y + h*z**3 and give r.\nAnswer: -4375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5623 by -53.\nAnswer: -5623\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 8:41 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 a when three letters picked without replacement from {a: 1, h: 2, d: 1, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1019005, -4076016, -9171035, -16304062?\n\"Answer: -1019004*r**2 + r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1216265 and 3895.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15476 + h**2 - 3*h**2 - h**3 + 2*h**2.\nAnswer: -h**3 - 15476","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98 - -115. Let r(h) = -h - 3. Let v be r(-4). Suppose t = 4*m + v. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -12, -69?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 4*t**2 + t + 4. Let q be h(-4). Suppose q = 2*o + o - 231. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*z**3 - 577885*z**2 - 4584770*z + 370480 = 0.\nAnswer: -8, 2\/25, 4631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 u when four letters picked without replacement from {u: 9, p: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/41? (a) -0.2 (b) -5 (c) -0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7*1.224\nAnswer: 8.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i - 49. Let w be z(26). Let b = 16 - -8. Calculate the greatest common divisor of w and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5933 and 41531?\nAnswer: 41531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 - -92. Suppose -281 = 4*x + 47. Let c = x + j. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + 4*o - 4*o + (2*o**2 + 2 - 2)*(0*o - 4*o + 5*o) + 3*o + 2*o**3 - 3*o - 4*o**3 - o**3 + 4*o**3)*((-2 + 2 - 2*o)*(3 - 5 + 1) + 0*o + 2*o - o).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 9 - (5 - 4) - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564029 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*q - 3*b, b - 8 = -q - 3. Suppose 4 = 3*o + r - 1, -q*r = -o - 9. Which is smaller: o or -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 409833713.08225 - -8115.91775. Let v = 409841907.0000052 - q. Let k = v - 78. Round k to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1422170.65 to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 1094.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 - 2*b**2 + 3*b + 3. Let m be l(-2). Suppose -m*o + 54 + 16 = 0. Calculate the greatest common factor of 112 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*m + 5*m**2 + m**3 + 8 - 19*m**2 + 24*m + 8*m**2 to r*m**2 + k*m**3 + y*m + h and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 120400*v. Let j(q) = -8*q**2. Give j(l(n)).\nAnswer: -115969280000*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**4 - 2*b**3 + b**2 + 2*b. Let h(k) = 312*k**4 + 6*k**3 - 769*k**2 - 10*k. Let m(l) = -5*f(l) - h(l). What is the third derivative of m(s) wrt s?\nAnswer: -7248*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30856369, -30856370, -30856371, -30856372?\nAnswer: -30856373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*m = 119774, 0 = 237*c - 239*c + 4*m + 79892. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111406.\nAnswer: 2, 53, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33580 and 14089.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3900129629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 6*w**2 - 4*w**2 + 2*w**2 + w**2 - 6*w = 0. Calculate w.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/3*(-1)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -2, -8\/7375, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1762, -1916, -2236, -2728, -3398, -4252, -5296, -6536?\n\"Answer: -s**3 - 77*s**2 + 84*s - 1768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-14)*(-10)\/(-15). Let t be 38\/(-7) + 138\/23. Factor t*d**2 - 5\/7*d - 1\/7*d**3 + g.\nAnswer: -(d - 2)*(d - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -17. Let j = -12 + i. Suppose -3*r = -8*r - 2*a + 115, -a + 45 = j*r. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/640 and 131\/1728.\nAnswer: 17280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100222001102 (base 3) in base 11?\nAnswer: 457707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 8\/(-6))*2. Let y = -2695363 - -2695363. Factor y + 0*a - i*a**2.\nAnswer: -2*a**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u + 12*u - 17*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 7*f - 30 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/11)*w**(-1\/5)*w\/(w**(3\/7)*w*w)*w\/((w*w\/((w**(-1)*w*w)\/w))\/w)*w)**(21\/4))**(-33) assuming w is positive.\nAnswer: w**(387\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 10:08 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejj when three letters picked without replacement from {n: 1, j: 2, y: 2, e: 9, l: 3}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + 279*v - 30 = 284*v, 6 = s - v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2, 9, 6, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/5914 and 9\/715594?\nAnswer: 715594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11613 by -4.\nAnswer: -11613\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(1 + 0\/1). Let y be ((-7)\/(-2))\/(112\/128). Suppose 5*u + 40 = 5*b, -2*b + u - 7 = -y*b. Solve 0 = -m*s - b*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 11, e: 2}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 3, u: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 32 - 10 = p, -3*p + 6 = -2*l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -7. Let p be 5\/(-30)*v\/(-2). Suppose 5*r + 50 = 5*c + 20, 5*c = -3*r + 14. Sort -4, r, p in increasing order.\nAnswer: -4, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 29*h + 47. Determine f(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -334242.93 + -755.\nAnswer: -334997.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2365411 - -4?\nAnswer: -2365404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (8 - -8 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 772408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 16*i**2 - 31*i - 4*i**2 - 11*i**2 + (0 + i + 0)*(i - i - 2*i) - 2*i**2 - 5*i**2 + 6*i**2 + (i - 2*i + 3*i)*(3*i + 0*i - 4*i).\nAnswer: -4*i**2 - 31*i - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*g*h*m**2 + 9*g*m + 275*h*m**2 - 731*h*m wrt m.\nAnswer: 22*g*h + 550*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-156)*0*4\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 - -140 - (-5 + -4 + 1) - (-23 + 8).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*y + 3*y + 3*g, -3*g - 86 = 4*y. Let z = 49 + y. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6*x - 4. Let g be r(-1). Suppose y + 1668 = 2*y + 2*p, -3*p - 3322 = -g*y. Let u = 8273\/5 - y. What is the common denominator of 101\/18 and u?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -127, -130, -133?\n\"Answer: -3*f - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-40)\/15)\/(-8))\/(2*1)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2737, 2320, 1625, 652?\n\"Answer: -139*p**2 + 2876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(15)\/sqrt(5)) + 1 + sqrt(612).\nAnswer: 1 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.469 - -5.469. Suppose 3*d + 123 = -2*x, 33 = -x + 5*d - 48. Let f = 728\/11 + x. What is the fourth smallest value in f, -2, 5, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/1 + (-28)\/(-4) + -9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from {x: 1, p: 5, c: 1, g: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.1, -3, 0.4, 0.016, -0.4 in descending order.\nAnswer: 2, 0.4, 0.1, 0.016, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3. Let t(h) = -6139*h**3 + 8*h**2 + 21*h - 10. Let i(z) = 6*n(z) - t(z). Let r be i(10). What is r rounded to the nearest one hundred thousand?\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkpzk. Give prob of sequence pz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1261 - 586. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 170 - 2*n + 181 + 0*n + n - n. Give w(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -289, -281, -263, -229, -173, -89, 29, 187?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r + 12. Let y = 77 + -34. Let t = -36 + y. Does 11 divide g(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**4 + 2*w**3 - 6*w**2 - 2*w + 2 = 0. What is w?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + p - 1, 5*n + 4 = 3*n - 3*p. What is the third smallest value in 3, n, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**4\/12 + 9*d**2 - d. Let m(q) be the third derivative of -2*q**4\/3 - 3*q**2. Calculate k(m(s)).\nAnswer: -32*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.43 (b) 5 (c) 4\/3 (d) 6\/121 (e) -1\/32 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3973570418 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 112, 226, 386, 592, 844, 1142?\nAnswer: 1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -246 * 0.4209.\nAnswer: -103.5414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291083, -582167, -873251, -1164335, -1455419?\nAnswer: -1746503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 2*w - 2, 2*f = -5*w - 16. Suppose -f*k = 2*k - 36. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3264 + 3?\nAnswer: 3267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -211 + 211. Suppose 9 = 2*v - 2*m + 3, -2*m = 3*v - 24. Suppose v*r + 14*r - 40 = w. Solve 0 = -5*u + 2*p + 21, -2*u + p = r*p - 12 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5077184.000015 + 5077171. Let r = -474 - -487. Let l = r + j. What is l rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 485 is divided by 42?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -25\/139933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 92 - 153. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -173598\/127 + 1367. Sort 0.3, n, -4.\nAnswer: -4, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*l + 2668 = 2751 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 32104\nAnswer: 128416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*((-2 - -10) + -2). Let w = x - -14. Suppose a - w = -3*a. Solve 4*i - 16 = 4*b, -a*i + 4 = 5*b - 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102321 (base 4) to base 7.\nAnswer: -3345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 + 15. Let n be (-27 - -24) + r + 0. What is the highest common divisor of 82 and n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from ggggggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, h: 3, i: 1, s: 1, z: 4}. What is prob of sequence zxs?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -28. Let l = 3.7 + 1.3. Which is the second smallest value? (a) l (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3122 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 108 + -76. What is the greatest common factor of i and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 8. Is 6\/12*(8 + d) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -731 - -7281\/10. Calculate the common denominator of r and 65\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 11*g**3 + 5*g**2 + 5*g + 2. Let s = 14 + -9. Let j(b) = -b**2 - b + 1. Let i(d) = s*j(d) + u(d). Differentiate i(f) wrt f.\nAnswer: 33*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**4 + 3*d**4 + d**4)*(-7 + 59 + 11).\nAnswer: 189*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1968 and 5186992.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4136, -33060, -111566, -264446, -516492, -892496, -1417250, -2115546?\n\"Answer: -4132*a**3 + a**2 - 3*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 11640754 - 3*a - 7*a - 11640981 in the form f + g*a and give f.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 9*i - 1. Suppose 0 = -h - 18 + 22. What are the prime factors of x(h)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngngnynnnnngggy. Give prob of sequence yy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2448033 to 3 dps.\nAnswer: 0.245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/3))**(-30))**(-48)\/(c**3*c**4)**31 assuming c is positive.\nAnswer: c**743","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + -2*-1*sqrt(343) + sqrt(343) - (sqrt(343) + -2*(sqrt(343) - (0 + sqrt(343))) + sqrt(343)) - (sqrt(343)*2 + 4 + sqrt(343) + -2)) + 3)**2.\nAnswer: -14*sqrt(7) + 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2700)\/126)\/10*1\/(5\/(-2))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38, -59, -94, -149, -230, -343, -494?\n\"Answer: -q**3 - q**2 - 11*q - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60319?\nAnswer: 7, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -5, 5, -2.\nAnswer: -5, -2, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k - 16*k + 5*k + 10*k. Let a(r) = -r**2. What is x(a(p))?\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52091 (base 13) to base 11.\nAnswer: a0755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1711 is divided by 901.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -208 + 4?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 7) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -488547*t**3 + 337089.\nAnswer: -1465641*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 4*x + 4*x)*(x**2 - 9*x + 11*x + 8*x).\nAnswer: 2*x**3 + 20*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**2 - 11*q + 0*q**2 + 0*q.\nAnswer: 6*q**2 - 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 - 39*g + 39. Calculate x(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 8*u**3\/3 - 49. Let y(b) = 3*b**2 - 4*b**2 - b**2. Give f(y(s)).\nAnswer: 32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 264 + -144. Suppose 0*u = -5*u + a. Suppose -3*m - 28 = -v + u, 4*m = 2*v - 108. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109600 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ad2d - 1?\nAnswer: -ad2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 228492074 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + sqrt(44)\/sqrt(4)).\nAnswer: -5*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17058490 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3375*z**3 - 16*z**2 - 60491*z wrt z?\nAnswer: 20250*z - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -3\/20, -5, -4\/3, 1, -3\/4 in decreasing order.\nAnswer: 1, -1\/9, -3\/20, -3\/4, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7*c**3 - 286*c**2 + 56*c + 614. Determine k(-41).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/72)\/((-7)\/(-105)). Let u(a) = 8*a**2 - a + 1. Let m(v) = -v**2 - 1. What is z*m(g) - u(g)?\nAnswer: -3*g**2 + g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqt when three letters picked without replacement from ggqhxtg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4544823 - 8*q**2 - 4544823 - 3*q**2.\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 126.\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 315211003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 1, -1, -2359 in ascending order.\nAnswer: -2359, -1, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2047252 rounded to 3 dps?\nAnswer: 0.205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-5) + 684\/(-10). Let f be (-50)\/6 - i\/51. Let v(m) = m**2 + 8*m + 9. Let z be v(f). Calculate the greatest common divisor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3156163579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/2 + 2097*r - 81480.\nAnswer: -3*(r - 1358)*(r - 40)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 52*m**5 - m**4 - 1. Let a(b) = -b**5 + b**4 + b**2 + 1. Let q(l) = a(l) + r(l). Find the third derivative of q(o) wrt o.\nAnswer: 3060*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + z - 3, 4*b = -z - 15. Let a be 0 - ((-45)\/7 - -3). Let y = 141\/35 - a. Sort b, 1\/4, y in descending order.\nAnswer: y, 1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13\/11 + 139\/99. Suppose -y - 5*g - 23 = 0, 15 = -4*y + 5*g + 48. Suppose 24 = y*c - 8*c. What is the nearest to f in 3, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 8, 35\/2, 2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9343 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30210*r**2 - 5*r + 538580 wrt r.\nAnswer: -60420*r - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82998 and 150626.\nAnswer: 3074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.15, -916, 52\/5?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91684.24t in nanograms?\nAnswer: 91684240000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25788 and -5?\nAnswer: -128940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139469249?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g = 2*x - 20, -4*g + 2*x + 70 = 0. Suppose g = 6*y - 246. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1611346 to the nearest integer?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39988598 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: 10\/(-3)*135\/90\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7821 - 41*k + 7821.\nAnswer: -41*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - 0.07.\nAnswer: -56.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -92\/1458011?\nAnswer: -92\/1458011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 3*x - 176, 4*y + 126 = 4*x + 474. Suppose y*o - 81*o = 96. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**2 + j**2 - 3*j**2 + (j**2 - 4*j**2 + j**2)*(1 + 3 - 2) + 2*j**2 + 3*j - 3*j)*(-19 - 7 - 9) in the form f*j + r + x*j**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -0.3, -2, -1\/4 in increasing order.\nAnswer: -2, -4\/9, -0.3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2088 divided by -4.\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 15*x + 2. Let y be d(15). Suppose 2*m + y*m - 8 = 0. Suppose m*r - 3*z + 4*z = 9, 5*r = -4*z + 24. Solve k = -k + r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 11:57 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*q - 24, -2*q + 0*q - h + 12 = 0. Let u = q - 4. Find the third derivative of 5 - 5 - u*n**6 - 3*n**2 wrt n.\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q. Suppose -11 = 4*u - 15, -3*i + 41 = -4*u. Let f(r) = 195 + i*r - 195. Give b(f(v)).\nAnswer: -45*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 32933, 132837, 299331, 532409, 832065, 1198293?\n\"Answer: -x**3 + 33301*x**2 + 8*x - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.102 * -0.333\nAnswer: -0.033966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-4)*(79\/(-237))\/(1\/3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*r + 97*r = -5142. Round r to the nearest 10.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z + 1 - 38 + 6 - 7 + 38.\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 965 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 20 = 4*v, 0 = -4*c + v + 12 - 7 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 - 3*r**3 + 4*r**3)*(21*r - 52*r - 8 - 6*r).\nAnswer: 37*r**4 + 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 10*m - 10 = 0. Let d be 40\/m - 4 - -14. Suppose -3*f - 21 = 2*i - 4*i, 4*i = 3*f + 57. Calculate the greatest common factor of d and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 13*c - 63. Let z be g(-17). Suppose -5*o = -0*x - 3*x - 110, -4*o = -5*x - 75. Let a = 3 + -3. Solve -z*b + 0 + o = a for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-39) - 1103366\/(-286). Calculate the highest common divisor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356 - 77 - 131 - 2*u - 150.\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - -1 - (0 + -3). Suppose 10 = 4*m - x. Suppose 5*u + m*s - 50 = 88, 3*s = -u + 18. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-13) - 196\/(-91). Suppose -d*l = -0*l + 8, 2*n = l + 8. What is the greatest common divisor of 7 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7236090)\/217300*10\/3.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -16*d**3 - 6*d**2 - 27*d - 6. Let y(w) = 17*w**3 + 7*w**2 + 27*w + 7. Let x(f) = -7*k(f) - 6*y(f). What is the second derivative of x(a) wrt a?\nAnswer: 60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2 (b) -5.5 (c) -0.3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 464687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89745?\nAnswer: 3, 5, 31, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92 - 52. Let b = -43 + c. Calculate the smallest common multiple of 12 and (-18)\/(-27) - 13\/b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -s + 2*s. Let o = s + 13. Solve 3*r + o*f + 2 = f, -5*r = -5*f - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424355 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4703026702\/5112603 + 1\/568067. Let q = y - -921. What is the common denominator of q and -79\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.1, 17\/121, -0.028?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25\/3 + 14\/3*l**2 - 1\/6*l**3 - 77\/6*l.\nAnswer: -(l - 25)*(l - 2)*(l - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 28 = 6*c. What is the units digit of (c + -6)\/((-8)\/4652)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-6)*(1 + 9). Let x(c) = c**3 - 5*c**2 + 4*c - 4. Is x(z) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -32*o + 1454. Let n(k) = 8*k - 329. Let l(c) = -2*b(c) - 9*n(c). What is l(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 6*o - 4. Let b be t(-6). Suppose 3*n + 4*n = 294. Let c = n - b. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17428 divided by -1\nAnswer: -17428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -16*g**2 + 122*g - 11. Determine c(11).\nAnswer: -605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14384 and -5.\nAnswer: -71920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1425)\/5760 + 4\/48 and 77\/2.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36014 (base 8) to base 13\nAnswer: -6cc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 + 5*i**2 + 77*i - 30. Calculate the remainder when 2991 is divided by h(7).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 223*n - 56. Let f = -6 + 25. Is c(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -928 divided by -928?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2997, -5996, -8995?\n\"Answer: -2999*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + c + 3*c)*(4*c**2 - c**2 + c**2)*(2 - 1 - 5)*(12*c + 6*c + 6*c)*(-8 + 4 - 1) in the form m*c**2 + s*c**3 + n + p*c + x*c**4 and give x.\nAnswer: 3840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*f + 8. Solve 3*p - 2*g - 18 = 0, -f*p + 50 = -5*g + 19 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhshhhhhhhhs. What is prob of picking 3 h?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + sqrt(4500)*-1 + -2*(1 + sqrt(4500) + sqrt(4500)) + 1 + 0)**2.\nAnswer: -112525 - 1500*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -517746, -1035371, -1552998, -2070627, -2588258, -3105891, -3623526?\nAnswer: -4141163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(22\/7))**(-13)*y**(11\/3)*y**(-7))**(-1\/18) assuming y is positive.\nAnswer: y**(464\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + -799*3572\/62016.\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 28*r - 11*r - 45 = 0. Solve -12*n = -9*n + 4*d + 13, -2*n + 3*d = r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (73*x**3 - 222*x**3 + 494*x**3)*(-x + 3*x - 4*x) + (x**2 + 0*x + 0*x)*(3*x**2 + 2*x**2 - 2*x**2) to b*x**3 + a*x + y + h*x**2 + n*x**4 and give n.\nAnswer: -687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2677978 and 284?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 - (-1 - -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -111477 or -111554?\nAnswer: -111554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331 = 10*g + 71. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19963, 39927, 59893, 79861, 99831?\nAnswer: 119803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 394\/26 - (-16)\/(-104). Let a(k) = -k**2 + 6*k + 4. Let o be a(6). Solve -o*v + u + 5 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*o = -90*o - 126 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 3*p**2 + 1. Let y be u(-3). Let f be 80000*(76\/8 - y). Round f to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*f = -16*f - 129. Sort 1, 4, -166, f, -1 in descending order.\nAnswer: 4, f, 1, -1, -166","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9130052 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17113978 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 870563780?\nAnswer: 2, 5, 43528189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**2 + 64*i + 47. Let k be s(20). What is the greatest common divisor of 1016 and k?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8375776?\nAnswer: 2, 47, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/(33\/6)*-3. Suppose 2*j - u = 6. What is the greatest common divisor of 4 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1)*j*j*j)\/j*j)**(23\/3)*(j\/j**(-1))**(-13\/2))\/((j\/(((j*j**4)\/j)\/j)*j*j*j)\/(j*j**5*j*j)*(j**(-1\/3))**(-2\/7)) assuming j is positive.\nAnswer: j**(194\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 120 + -29. Let x = -90.5 + v. What is the closest to -0.48 in x, -4, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 18. Sort -4, m, -1, 5.\nAnswer: -4, m, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/11*r - 2\/11*r**2 + 6\/11*r**3.\nAnswer: 2*r*(r - 1)*(3*r + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1575\/11 - -143. What is the nearest to 2 in c, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1798, 8244, 14690, 21136, 27582?\nAnswer: 34028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, g: 7}. Give prob of sequence lg.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 80184.\nAnswer: 80184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -243 + 259. Solve 3*h - x*h = 65 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*o**3 + 70*o**3 + 57*o**3 + 20*o**3.\nAnswer: 115*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -4. Let n = i + -9. Let t(y) = -y**2 + y - 1. Let o be t(2). Is o bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 7 - 3 + 16*t**3 + t**3 - t**3 + 4*t**3 + (2 - 2 - t)*(-t - t**2 + t) - 71*t**2 + 7*t**3 + 71*t**2.\nAnswer: 28*t**3 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6\/13 + 4\/13. Let q = 145 + -162. Let z = 223\/70 + -39\/14. What is the third biggest value in z, 2, q, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u + 4*u - 2*u**2 + 0*u**2 - 3*u.\nAnswer: -2*u*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 29*(7\/1 - 2). Let x = 4959 - 4935. Calculate the common denominator of -31\/66 and v\/(-6) - (23 - x).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 11. Let d be n(-10). Let l(s) = -136*s - 1. Let m be l(d). Let j = m + -76. What is the remainder when j is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-12)*a)**(-10)*(a**(-10))**(5\/6) assuming a is positive.\nAnswer: a**(305\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7357875 at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 + 3*k - 40. Let u be w(7). Suppose -341 - u = -6*j. What are the prime factors of j?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (60\/25)\/(2\/35). Let p = 39 + 24. What is the greatest common factor of x and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/(g\/g**(-4)))\/g)**(38\/5)*(g**(2\/29)\/g)**(-13) assuming g is positive.\nAnswer: g**(-2653\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121711 is divided by 957?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 105*z**2 - 30655*z - 1504. Give m(292).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12471482297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6402, 25620, 57652, 102498, 160158?\n\"Answer: 6407*v**2 - 3*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 14 = -2*n, 8*l = 4*l for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*i**2 - 85*i**2 - 82*i**2.\nAnswer: -139*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 + -149. Suppose 0 = -2*k + 4*c - 106, 4*k + 4*c = -127 - 109. Let n = k - r. Solve 4*a = -4*l - n, -35 = -0*a + 4*a + 5*l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*-8*3 - 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v + 10*v + 6 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 31520\/28 - (-2)\/7. Let t = -8929\/8 + v. Find the common denominator of (2 - 3)*142\/(-8) and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -1\/9, 2.33, -0.12, 4 in descending order.\nAnswer: 4, 2.33, -1\/9, -0.12, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.6, -1, -5 in increasing order.\nAnswer: -5, -1.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 151, 22393, -5 in descending order.\nAnswer: 22393, 151, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*1*sqrt(425))**2*-6.\nAnswer: 318750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -120784*t**2. Let y(h) = 375*h. Determine o(y(i)).\nAnswer: -16985250000*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 15) + -32 + 3 + 2 + -3.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*g - 0*g + 924. Suppose -5*j = -0*d - 5*d - 90, -3*j - 3*d = -g. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14456, 57900, 130306, 231674?\n\"Answer: 14481*g**2 + g - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 635\/(-4)*(20 + -24). Let k = r - 359. Is (-1 + 27)*k\/24 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 47.48?\nAnswer: 47.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31734 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 3. Suppose a = 2*a + 2. Let q be 1 - a - (3 + -3). Calculate l(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116404120 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/8671 and -103\/208104?\nAnswer: 208104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 3:12 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10660 - 21327 = -3*q - 10658 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 27, -4\/5, -5, 3.\nAnswer: -5, -4\/5, 1, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*h - 56*h - 90*h - 288*h - 47376 = 0 for h.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28408 or -28400?\nAnswer: -28408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13, -33, -57, -85, -117, -153, -193?\n\"Answer: -2*d**2 - 14*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 73 (b) 2\/7 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7*(0 - (2 - -1)). Let t = w + -8. Let x = t + 32. Solve -4*s - v = 0, 0 = -5*v + x*v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -3520?\nAnswer: -3511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1749 = -6*s + 5*s. Let a = -953 + s. What are the prime factors of a?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 + 38 = -3*b. Suppose -2*i + 7*i - 3*t - b = 0, t = -2*i + 21. Let n = 17 - 13. What is the least common multiple of n and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198359 = -1756*j - 49099 for j.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-640)\/64*(-2)\/190.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 94*l**2 - 4. Let v(r) = 206*r**2 - 388*r**2 + 183*r**2. Determine v(f(y)).\nAnswer: 8836*y**4 - 752*y**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2904))\/(sqrt(8) - -2*(sqrt(8)*-2 - sqrt(8))))**2 + -5.\nAnswer: 1327\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -494 - 321 = 2*d + 3*j, 0 = -d - j - 410. Let m = d - -168. Round m to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 1041\nAnswer: -3123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -8*h + 18 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3291 + -3280. Solve -i = -p*i - 40 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 89, 362, 811, 1430, 2213, 3154, 4247, 5486?\n\"Answer: -u**3 + 94*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1062, -8416, -28378, -67254, -131350, -226972, -360426?\n\"Answer: -1051*p**3 + 2*p**2 - 3*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4369?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**3 - 4*w**3 + 0*w**3)*(6 - 3 - 4)*(-99 - 50 + 36 + (2 + 0 + 0)*(0 + 6 - 4)) to d + g*w**3 + x*w**2 + c*w and give g.\nAnswer: -654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 189*v - 3 - 14*v + 3 in the form n + h*v and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-24) + 42\/9. Suppose -9*g + 232 = -s*g. Suppose -g = -3*v + 2. What is the highest common factor of v and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + (-13 - -38 - 30)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 18*b - 13*b - 5*b - b**2 + 18. Calculate the remainder when 89 is divided by m(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 4:24 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*m + 3106820 + 6124626. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1302 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7442*o**3 - 4376384*o**2 - 286952*o - 4704.\nAnswer: -2*(o + 588)*(61*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25477 is divided by 43.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**5 - 3*s**4 - 120*s**3 + 336*s**2 = 0. Calculate s.\nAnswer: -7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 385792, 385900, 386008, 386116, 386224, 386332?\nAnswer: 386440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 9. Suppose 2*w + 74 = -26. Is x\/(-8)*w\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 14) to base 4\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*c - 10. Solve c*n = -0*n + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(27\/60))\/((-42)\/(-189))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 183 = -2*h, -2*h + 86 = -2*d - 94. Let f(l) = l - 93 + h. Let p(m) = 5*m + 6 - 6. What is f(p(u))?\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**8\/20160 + l**7\/840 + l**6\/180 - 2*l**5\/3 + 14*l**2. Let a(v) be the third derivative of b(v). What is a(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -33) + -93 + 37.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33889113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 72 = -2*r + 4*c, -42 = -3*r + 3*c. Suppose -3*f = -2*f - 32. What is the highest common divisor of f and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15704 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -146376 divided by -1926?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 837.026?\nAnswer: 840.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 956*(-36)\/(-2640) - 609\/(-2310).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 9952?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/435 and -2\/45?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/4*1)\/((-14)\/(-21)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -271107 + -1347?\nAnswer: -272456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y. Let j be 3\/2*20*(-45)\/(-54). Let p(u) = 0*u + 22*u - j*u. Give c(p(w)).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 10*h**2 - 2*h - 12. Let k be b(-10). Let w be (2 + (-12)\/k)*0. Let a be 1\/(12\/10 + -1). Put w, 9, a in increasing order.\nAnswer: w, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98980.08um in meters?\nAnswer: 0.09898008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 293325520 to the nearest integer?\nAnswer: 17127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4630*r = -3057*r + 1771*r + 224808 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/7*u + 8\/7*u**2 + 8\/7*u**4 + 0 + 2\/7*u**5 + 12\/7*u**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 76, 152, 214, 256, 272, 256?\n\"Answer: -t**3 - t**2 + 86*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + (2 + sqrt(833))**2*-2 + (sqrt(833) + -2)**2*3 + 5 + 0 + sqrt(833).\nAnswer: -133*sqrt(17) + 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -7, -3.\nAnswer: -7, -3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114.10243 - -0.4.\nAnswer: -113.70243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**3 + s + 5. Let h(c) = 0 - c**3 + 5 - 3. Let i = 13 - 15. Let n(x) = i*j(x) + 5*h(x). What is the second derivative of n(m) wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.91 + 4.24. Let v = t - -1.72. Which is the nearest to -0.1? (a) 1\/5 (b) 1 (c) -2 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 535749811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**5 - 7*o**4 + 28822*o**3 - 92873*o wrt o.\nAnswer: 40*o**3 - 84*o**2 + 172932*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 2*n - 28 = -a, 390 + 568 = 2*n + 5*a + 824 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(4\/16*-6). Suppose -r + 5*a = v*r + 25, -4*r - 10 = -2*a. Solve -z + 3 = -r*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/27421?\nAnswer: -6\/27421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + w + 7)*(2 - 2 + 1)*(3*w**3 - 3*w**3 - w**3) in the form h + k*w + s*w**4 + j*w**3 + u*w**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -13, -3, 0.3, -4, 1\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -377723 - -326352779\/864. Calculate the common denominator of 25\/384 and k.\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*i + 1 + (-3 - 2 + 6)*(555 - 861 - 985)*(2 + 2 - 2)*(i + 6*i - 4*i).\nAnswer: -7744*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 385 - 361.3. Let n = o - 6. Round n to 0 decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*n + 368 = 1138. Calculate the highest common divisor of n and 2576.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4*(-7)\/84)\/((-1)\/6). Let o(g) be the first derivative of y*g**2 - 2\/3*g**3 + 1 + 0*g. Factor o(h).\nAnswer: -2*h*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) + sqrt(77)*-2)*-1 - 3*1*sqrt(77))\/((3*sqrt(176))\/sqrt(4)))**2.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*u - 73453, 0*u = -3*p + 4*u + 44075. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 162077\/10686 - 1\/1781. Is 14 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/13, 3623, 2?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4*(4 + -6)*8. Let c(y) = -y**3 - 9*y**2 - 10*y + 11. Give c(i).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1143 divided by 127.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.6, -1\/23, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, p: 1, z: 7, x: 2, n: 2, v: 1}. Give prob of picking 1 x and 1 z.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-7))\/((24080\/294)\/43))\/(286\/(-55)).\nAnswer: -3\/104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**7\/210 + 7*r**5\/60 - 2*r**2. What is the third derivative of y(q) wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -178036262 not equal to -178036262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 389976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1992760 divided by -398552.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in four fifteenths of a minute?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 75c01 (base 16) in base 15?\nAnswer: 97d8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/3 + (-17)\/51. Suppose u*m - 368 = -a, m + a - 81 = -2*a. Suppose 97*y - 32 = m*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3210)\/(-642)*1\/(-15). Let t = -8 + 7.7. Sort u, 0, t.\nAnswer: u, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**5\/20 + z**3\/2 + 7*z**2. Solve s(b) = 0 for b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 - -97. What is the remainder when 388 is divided by p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 12:39 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.957821 to 1 dp.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6521?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4220423299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 + -19. Let p = y + -21. Calculate the smallest common multiple of 19 and p.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (-3 - -4))*6\/(-12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 4. Let x be c(4). Let l = x - 8. Let i = 5 - 4. Is l less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/36*(-4)\/6)\/(31\/(-31))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2126?\nAnswer: 2, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2673, -2956, -3241, -3528, -3817, -4108?\n\"Answer: -b**2 - 280*b - 2392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 183159\/12267 + ((-7)\/609)\/(2\/(-12)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + ((sqrt(119)*-2 + sqrt(119) - sqrt(119))*-4)\/(sqrt(14)\/(sqrt(8)\/sqrt(4))) + -5.\nAnswer: -6 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 1:46 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 93\/(-217) + (-101035)\/6. Let z = p + 16841. What is the common denominator of 17\/8 and z?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22768 and 2?\nAnswer: 22768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**5 + 835*w**3 + 6069*w**2 - 244843330*w wrt w.\nAnswer: 40*w**3 + 5010*w + 12138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3140909*b**4 + 64*b - 50667 wrt b?\nAnswer: -37690908*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l**4\/7 - 12000*l**3\/7 + 3037791*l**2\/7 + 676650432*l\/7 - 225887232\/7 = 0. Calculate l.\nAnswer: -139, 1\/3, 736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -1, 906.4304?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence un when two letters picked without replacement from {n: 1, m: 1, u: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.57113 litres to millilitres.\nAnswer: 30571.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 14*f**5 + 11*f**2. Let p(o) be the first derivative of o**3\/3 - 29. Let v(h) = -n(h) + 5*p(h). Find the third derivative of v(y) wrt y.\nAnswer: -840*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + 6120*j**2 + 156255*j - 162370.\nAnswer: -5*(j - 1249)*(j - 1)*(j + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-14)\/(-245))\/((-1)\/15))\/(380\/(-266))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 42 = c. Suppose 12*x + c = 38. What is the first derivative of 0*p**x + 0*p**2 - 18*p**4 + 0*p**2 - 4 wrt p?\nAnswer: -72*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/6*72\/(-16). Let p be -21 + (1 - (y + -3)). Let i = -13 - p. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2282435, -2282444, -2282457, -2282474, -2282495, -2282520?\n\"Answer: -2*i**2 - 3*i - 2282430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1662)\/554*80\/(-3).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)*1)\/(sqrt(288)*3 + sqrt(288) + sqrt(288) - sqrt(2)).\nAnswer: 3*sqrt(17)\/59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/68768331 and 17\/12.\nAnswer: 275073324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*q**2 + 0 + 2\/5*q**5 + 0*q**3 + 4\/5*q**4 - 2\/5*q.\nAnswer: 2*q*(q - 1)*(q + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -124*h**2 - 4 + 514*h**2 - 124*h**2 - 132*h**2 - 127*h**2 + 4*h. Let y(z) = -6*z**2 - 5*z + 5. Determine 5*c(j) + 4*y(j).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*b**5 - 5*b**4 + 16*b**3 - 134342*b?\nAnswer: 160*b**3 - 60*b**2 + 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 1714\/383?\nAnswer: 1714\/383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 797369201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.050013 + -9.334587. Round g to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = 1424 - 94. Solve 23 = -18*t + h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -818.1 times -0.061131?\nAnswer: 50.0112711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -1. Suppose -73 + 11 = -a. Suppose 65*o - a*o = 15. Solve -12 = 3*t - c*i, o*t - 3*i = -9 - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/32)*t\/t**(-7\/5)*t*t assuming t is positive.\nAnswer: t**(709\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-38)\/2)\/(((-6)\/2)\/(363\/242))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*p**2 - 29*p**3 - 26*p**2 + 30*p**3 - 31*p**2.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 10480 + 7382 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/1320 and 73\/810?\nAnswer: 35640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 61 = -4*w, 0 = -5*r - 2*w - w + 98. Sort 6, 1, -3, r in increasing order.\nAnswer: -3, 1, 6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*d**2 - 10 + 10.\nAnswer: -74*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8.019062 weeks?\nAnswer: 1347.202416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/9)\/f)\/(f*f**(-2\/11)))\/(f\/(f\/f**0))**(-5\/7) assuming f is positive.\nAnswer: f**(-202\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 379 - 348. What are the prime factors of m\/((-6)\/3 - 130\/(-60))?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 467410, 467387, 467342, 467269, 467162?\n\"Answer: -l**3 - 5*l**2 - l + 467417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38549208*v**3 + 1877386*v**2 + 21*v wrt v?\nAnswer: 231295248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 343149023?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.1. Let h = 0.078 - 0.611. Let q = -8.467 + h. What is the closest to -1 in u, 3, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-231)\/14)\/11 - 572\/(-16)*38.\nAnswer: 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 61, 0.5, 1, -31, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-4) - 315\/84. Let w(q) = -q**3 - 3*q**2 - 2. Let b(h) be the first derivative of -h**4\/4 - h**3\/3 - h - 5. Calculate i*b(v) + w(v).\nAnswer: 2*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 146 + -101. Suppose 0 = -5*w + k - 2*k - a, -5*w + 5*k = 45. Let d(g) = 2*g + 9. Let b be d(-8). Which is bigger: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-12 - -19 - (1 + 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*(-3 + (5 + sqrt(1300) + -2*-2*sqrt(1300))*1*6))**2.\nAnswer: 64800*sqrt(13) + 4682916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1060 and 460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 746625, 746608, 746595, 746586, 746581, 746580, 746583?\n\"Answer: 2*y**2 - 23*y + 746646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -88, -127, -164?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z**2 - 664*z - 2998. Determine c(137).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*s + 88*s - 198850 = 0. Calculate the greatest common divisor of s and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(15\/42)*(-1325)\/1590?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -13)*-37*1\/2. Suppose 3*b - j = -33. Let h be 7\/(b\/618)*45000. Round h to the nearest one hundred thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 35 = h, -2*p = -4*h - 8 + 22. Let a(f) = -f + 7 - 4 + 2. What is the tens digit of a(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3675*t - 10. Let s(c) = 2351988*c - 6399. Determine 6399*m(h) - 10*s(h).\nAnswer: -3555*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-15))\/(-16*(-9)\/450)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 4136.21.\nAnswer: 4134.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 2.947?\nAnswer: 3.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 120 = -6*n. Are 24 and n nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 23 + 21 + 22 + 24 - 126 + 23*r.\nAnswer: 23*r - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 81 + 9 = 0. Let s = b - -30. Factor 3\/2*o**3 + 0*o**2 + s*o + 0.\nAnswer: 3*o**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 782 and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 39*o - 4846. Let k(h) = 3*h + 1. Let x(g) = -4*k(g) + t(g). Let a be x(0). Round a to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m. Let x = 22 + -18. Let l(t) = -2*t**2 + 4*t. Calculate x*i(d) - l(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 4. Suppose -m - r = -0. Which is the third smallest value? (a) -0.2 (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29109 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 761107.4l?\nAnswer: 761107400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*8\/(-6) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m + 28*m + 15*m + 103*m + 17*m.\nAnswer: 172*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -202123110232 (base 4) in base 3?\nAnswer: -121222111201101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and 10100?\nAnswer: 20200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**5\/12 - 635*j**4\/12 + 1265*j**3\/6 + 10*j**2 - 131*j. Factor x(o).\nAnswer: 5*(o - 253)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 4*p**2 + 7*p. Let z be v(-5). Suppose 7*n - 50 = 2*n. Let f = n - z. What is the remainder when f is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = -0*t + 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 2787182.\nAnswer: 83615460","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 4\/20*(-480)\/(-128) - 114\/(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d + 39. Let l be x(-6). Solve 0 = n + l, -7 = 5*w + 5*n + 23 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111862*d - 173976*d - 103487*d.\nAnswer: -389325*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2826 - -2834. What is the remainder when 33 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(252) - (-2 + sqrt(252)*-1 + sqrt(252))))**2 - ((sqrt(77)*1)\/sqrt(11) + -1)*2)*6.\nAnswer: -84*sqrt(7) + 1530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 5:18 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) -0.02 (b) 100 (c) 58.5 (d) -4 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (-6 + 10))*(-2)\/(-15). What is the third biggest value in 0.19, -3\/13, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 10:39 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 17901*-18\nAnswer: -322218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 4:00 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -540.5 + 680. Let p = 142 - q. Which is smaller: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2. Let r(f) = -1707929 + 1707929 + 362*f**2. What is o(r(n))?\nAnswer: -262088*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 63643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*p**3 - 49*p**3 - 158*p**3.\nAnswer: -174*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = r - 50. Which is greater: r or 10\/397?\nAnswer: 10\/397","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + a - 7 = 0, -5*a + 2 = -13. Suppose -2*p + 984 = q*p. Let x = p + -113. Calculate the greatest common divisor of x and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 h when two letters picked without replacement from myhhmybghnnn?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 = 3, -z + 5*i = -68. Let x = 280 + z. Suppose 2*q + 0*q + 2*k - 184 = 0, 4*q = k + x. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4563990 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(1\/43)))\/y**30)\/(y*y*y\/y**17*y*y**(-4\/7)) assuming y is positive.\nAnswer: y**(-4938\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 710256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(3*-1)*(-207)\/450*25.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83539.\nAnswer: 139, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125556 = -4*q + 5*h, 5*q + 276*h = 271*h + 156945. List the prime factors of q.\nAnswer: 3, 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 936*j**2\/5 + 4092*j\/5 + 160.\nAnswer: 4*(6*j + 25)*(39*j + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/3*5\/105*(-41)\/(42312\/84)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-10))\/((-4)\/(-10)). Suppose a*h - 3469 + 575 = 4*b, -4*h + 3892 = 3*b. Suppose 3*k + 7*k = h. Is k a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-9 - (1 + (-9 + 1 - -4)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*l + 16*l**2 + 57*l + 27*l**2 to the form o + y*l + b*l**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 305 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 199 + -187. Let n(o) = o**2 + 3*o + 4. Let u be n(-3). Suppose -16 = u*v, v - 74 = -3*p + 3*v. Calculate the smallest common multiple of p and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/10)\/(2\/148). Let a = 217347\/7126 - 2\/3563. What is the common denominator of (-4 - -1) + w\/27 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4188723 and 210?\nAnswer: 41887230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2948 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012471 rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429*a = -295*a - 262640. Which is smaller: a or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 114*g - 967. Determine j(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46516297211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 3*k**2 + 11*k + 16. What is p(4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*l**2 + 562*l - 120.\nAnswer: 2*(l + 15)*(19*l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -0*z - 4*z. Let x = -15 - z. Solve 0*c - x*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-6*(-2*sqrt(550) + sqrt(550)))\/sqrt(10))\/(4*sqrt(66)\/(sqrt(24)\/sqrt(4))) + -5).\nAnswer: -3*sqrt(5)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 104020530?\nAnswer: -104020532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = 2*w - 5*a, a + 21 = 4*w. Let b be 19*3*2\/w. Calculate the common denominator of -26 and (-1 + (-12)\/(-15))*b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -1. Let k(q) = q - 15. Let b(i) = k(i) + 2*o(i). Let u be b(9). What is the least common multiple of (69\/12 - 5)\/((-1)\/u) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41556 (base 7) to base 5\nAnswer: 311413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4101771 is divided by 421?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -664 + 2?\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 3*p + 1\/30*p**5 + 0 + 1\/189*p**7 - 1\/54*p**4 + 0*p**2 + 0*p**3 - 1\/45*p**6. Factor t(o).\nAnswer: 2*o**2*(o - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -8*z + 13. Let h be z\/16*(50 - 20). Find y such that 9*y + h*y**2 + 3 = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2436 is divided by 148.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34208 - ((-55)\/33)\/((-5)\/15) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k - 6. Let q be (-7)\/420*-8 + (-118)\/(-15). Let u(d) = -5*d - 17. Determine q*s(p) - 3*u(p).\nAnswer: -p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8240989 is divided by 368?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -127 - -887\/7. Let k(n) = 3*n**3 - 16*n**2 - 13*n + 8. Let u be k(6). Let j = -6 - -5.6. Which is the nearest to u? (a) j (b) d (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*h**3 + 26 - h - 9*h**3 - 27 - h to r*h**2 + q*h + l*h**3 + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(3 + -5) - 1 - 0. Let p be (8\/(-4) - o)*(-1)\/3. Sort p, 5, -3 in increasing order.\nAnswer: -3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -746 - 5?\nAnswer: -74b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-16)\/b*b)\/(b\/(b*b\/b**(-2\/7)*b*b)*b))\/((b\/(b*b**(-3\/4)))\/b)**(-18) assuming b is positive.\nAnswer: b**(-255\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.7 - -7.793. Let x = 9.093 - w. What is the third biggest value in x, -4, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 67\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dinxfdfe. What is prob of sequence end?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124189811?\nAnswer: 17, 23, 317621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -84. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25466 - -25466.0010481. Round b to 5 decimal places.\nAnswer: 0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -14. What is the third derivative of 15*g**2 - 39*g**2 + 2*g**4 - 6*g**d wrt g?\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3 + (-247)\/(-57). Sort 3, m, 1.\nAnswer: 1, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*s**2 - 988338*s**3 + 988333*s**3 + 6*s**2 + 23*s**2.\nAnswer: -5*s**3 + 59*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 15*y + 29. Let a(q) = 2*q**2. Give a(o(k)).\nAnswer: 450*k**2 + 1740*k + 1682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*c - 5, d = 5*c - 3*d - 20. Suppose -4*r - 4*r - 48 = c. Let p(s) = 6*s**2 + 2*s + 19. What are the prime factors of p(r)?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -299 = -2*o + a, o + 0*o - 148 = a. What are the prime factors of o?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -148*p - 118. What is the hundreds digit of s(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 0*x**6 + 0*x + 0*x**5 - 1\/2*x**3 + 0*x**4 + 0 - 1\/105*x**7 + 2*x**2. Differentiate g(r) wrt r.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + 23*i**2 - 2*i**2 + 3*i**4 + 0*i**2 - 26*i**3 - 10*i**2 in the form q + l*i**2 + s*i + x*i**4 + n*i**3 and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 104.\nAnswer: 9\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 - 206*g**2 - 571*g + 352. Calculate d(-100).\nAnswer: -2548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 6525*u + 19548.\nAnswer: 3*(u + 3)*(u + 2172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 549\/36 + (-2)\/(-6)*(-55 - -49).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 138.163 - 138.163056633. What is j rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 52 = 12. Calculate the lowest common multiple of 18 and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 11:53 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 134368987*w**2 + 106748782*w wrt w.\nAnswer: 268737974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/5 and 101\/290?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1443601214222.734700895 - -1443601210773. Let f = k - -3386.734701. Let j = f - -63. What is j rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 885 take away -32257.03609?\nAnswer: 33142.03609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30277*b*y**6 + 2528*b*y - 5*y**2 wrt y?\nAnswer: 3633240*b*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -110*q + 593. Give r(6).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 339*b + 89. Is u(23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6877494*k. Let q(j) = 30*j. Give q(r(v)).\nAnswer: 206324820*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10594 * -0.5.\nAnswer: 5297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 3*m**2 + 6*m + 1. Let u be z(0). Solve a - u = -2*v, a - 3*v + 9 = -0*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -245436 + 922295. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -1\/5, -88 in increasing order.\nAnswer: -88, -1\/5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019475153 rounded to seven decimal places?\nAnswer: -0.0000195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 67 (base 8) to base 14\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/13*l**2 + 62\/13*l + 132\/13.\nAnswer: -2*(l - 33)*(l + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of (85\/170)\/(1\/120754)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, c: 5}. What is prob of sequence cc?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1099, 2208, 3319, 4432, 5547?\n\"Answer: k**2 + 1106*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 11, w: 5}?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 5. Is -2 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 1 - 1 - 2*k - k + k + k - 6*k + 4*k + k - k + 2*k + (-1 + 1 + 2*k)*(-4 + 3 + 2) + (0*k - k + 3*k)*(5 + 0 + 0))*(10 + 8 - 3)*(2*k + 2*k + 0*k).\nAnswer: 480*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -12*g**2 - g. Let x = -68 + 67. Determine k(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 10110010111000001011?\nAnswer: 10110010111000000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 726*l = 864*l - 1380 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -2a0d4?\nAnswer: 2a0cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 2, -157, -5, -20 in descending order.\nAnswer: 4, 2, -3, -5, -20, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9572069.21999712 + 9572071. Let t = v + -1.78. What is t rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 189\/472, -89, -3 in increasing order.\nAnswer: -89, -3, 0, 189\/472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/209 in -4, 26, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*f - 423 = 0, 0*z + 122 = z - 4*f. Suppose 0 = -4*s + s - 4*v + 350, s - z = -5*v. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*d - 9 = 0, 2*d + 22 = 4*u + 2. Suppose u*r = -2*n + 36, 3*n - 3*r = -0*r + 24. Calculate the remainder when 59 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*a**3 - 4*a + a + 0*a - a.\nAnswer: 159*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 + 73. Solve -2*q + q + 12 = -2*r, y = 5*q + r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (4 + -1 - -3 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/42 - -54*(-2)\/7. Let k(y) = -90*y - 290. Let h be k(q). Calculate the greatest common factor of 23 and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5809 - 5909.92. Let w = -108 + 209. Let s = m + w. Is s at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 49\/2*i**2 + 106*i - 7\/3*i**3 + 1\/12*i**4 + 0. Let y(k) = 0. Calculate k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51979 to the power of 1\/2, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -4)*(-2)\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*c = -5, 0*c + c - 9 = 4*n. Let i(o) = o**3 + 7*o**2 - 4*o + 1. What is the remainder when i(-7) is divided by (-2 + 1 - n)*15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*v + 2*d - 0, -3*d = 5*v - 35. Let u(r) = -3*r**2 + 32*r - 32*r - v*r**2. Let y(h) be the first derivative of -3*h**2\/2 + 1. Determine y(u(c)).\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 126 = x, 6*w = 4*x + w - 429. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123815164 divided by -2691634.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 16. Put y, -3, 5 in descending order.\nAnswer: 5, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**3 - 3*v**2 + 2. Let l be c(2). Let f(k) = 10*k**2 - 4*k - 3. Let j be f(-1). Let s = l - j. Calculate the lowest common multiple of 10 and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 676352*s. Let u(w) = -2*w**2. Calculate u(p(x)).\nAnswer: -914904055808*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**4\/4 + 4*q**3\/3 - q**2 - q - 2. Let k be w(3). Suppose k*d - 20 = -3*d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.045, -1, -5, 63125, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -9*h**3 + 13*h**2 - 13*h. Let s(g) = 2*g - 2*g + 4*g**3 - 6*g**2 + 6*g. Suppose 0 = -r + 5*r - 88. Suppose 0 = -4*b - 2 - r. Give b*j(q) - 13*s(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + l + 1)*(0 - 2 - 1)*(3*l**2 - 2*l**2 + 0*l**2)*(-16*l - 2*l - 4*l).\nAnswer: 66*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 - 237*r**2 + 5217*r - 20535.\nAnswer: 3*(r - 37)**2*(r - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 9:22 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**5 + 684*i**4 + 4*i**3*q - 10*i**2 + 38*i*q wrt i.\nAnswer: -60*i**2 + 16416*i + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1214)\/(-10) + ((-206)\/(-10) - 20). Solve -133*f - 33 = -z*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.295902 rounded to three decimal places?\nAnswer: -2.296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2 + (sqrt(2448)*-3 - sqrt(17)) + (sqrt(425) - sqrt(425)*2 - sqrt(425) - 6*sqrt(85)\/sqrt(5)))**2)*3.\nAnswer: -636*sqrt(17) + 143286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.056 - -79.97.\nAnswer: 79.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37652169.\nAnswer: 3, 12550723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.176563 rounded to one dp?\nAnswer: 70.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100885 = 53*b - 103111 for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87*4*(-4)\/(-12)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1357132\/13 greater than or equal to -104394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - x**2 + x + x**2 - x + (-3*x + 4*x - 3*x)*(x + 2 - 2) - x**2 + 0 + 0 + 3*x**2 + 6*x**2 - 3*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-5))\/((-153)\/(-340))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -417*j + 1. Let k(d) = -48*d + 13*d + 11*d + 10*d + 7*d. What is k(w(z))?\nAnswer: 2919*z - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 12:28 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-66)\/(-15) + (-4)\/10. Find the third derivative of -2*i**4 + 5 + 3*i**z + 2*i**2 - 5 wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3)\/(-5))\/((-918)\/(-39181770))?\nAnswer: 25609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 302 + -52. Let j be d\/(-4 - (-8001)\/2000). What is j rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b0 - -6b?\nAnswer: 11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 153\/33 - 128\/(-352) - (-12 - 3).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 - 29051 + 5*w**2 + 14530 + 14521.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 156\/10 + (-4)\/(-10). Let u be 18\/(3 + 0) + -2. Let t be ((-1)\/(-2))\/(42 + (-835)\/20). Solve 0 = -t*g - u, l = 3*l + 3*g + d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + (-12)\/(-30)*-5*4. Solve 2*u - 6*j - 1 = -5*j, m = -4*j + 20 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**4\/2 - 3*f**3 + 4*f**2 + 5*f. Let s(y) = 2*y**2 + 6*y - 3. Let q(j) = -4*a(j) - 11*s(j). Give q(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-291)\/(-4)*(-88)\/12*(-41)\/(9471\/42)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 67*c + 11.\nAnswer: -67*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -807, -856, -907, -960?\nAnswer: -1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13, -3, -9, -81, -7 in descending order.\nAnswer: 3, -3, -7, -9, -13, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32.62 + -33.22. What is the fourth smallest value in 5, 3\/2, y, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -9. Let a be -5 + 1 - -2 - d. Solve -4*i = a + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + 0*y**2 + y**2)*(-2*y**2 + 0*y**2 + 0*y**2)*(2*y + 0*y + y).\nAnswer: 24*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 u when four letters picked without replacement from muumuuum?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*d - 27*d - 3*g - 6, 0 = -3*d + g + 18. Let h(c) = 7*c + 7. Let u(m) = 15*m + 15. Calculate d*u(x) - 9*h(x).\nAnswer: -3*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 94, -0.3, -3, -1580009?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 12 = 1123. Let z = k - 101. Suppose z = 7*h + 21 + 28. Let s(c) = -c**3 - 9*c**2 - 9*c + 7. Give s(h).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20 + (12 - 556230)\/(-9).\nAnswer: 2, 30911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319632 is divided by 5035?\nAnswer: 2427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-320)\/6*(-2844)\/1185 is divided by 80.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*c + 51*c - 702 - 651 + 85 to j + b*c and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 6:22 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, z: 2, u: 4}. What is prob of picking 1 e and 1 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 223*i**2 - 6*i + 3. Let z(k) = 223*k**2 - 4*k + 2. Let l(j) = 2*h(j) - 3*z(j). Let x(t) = -2*t**2. What is x(l(w))?\nAnswer: -99458*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwwchdwdhhwwwdhwwww. What is prob of picking 1 w and 2 d?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/14)\/((-6)\/36*3).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110878?\nAnswer: 2, 55439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12779809*a*k**3 - 840*a*k + 229*a - k**2 + 2 wrt k?\nAnswer: -76678854*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 11. Let x be 1\/3*(3 + -1). What is the nearest to x in -1\/4, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(1\/((-415)\/(-10))). What are the prime factors of (4 - (6 - 5)) + z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4539\/15911 - 1\/2273. What is the closest to 13 in -2, c, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3*g = 0, -54*a = -53*a + 2*g - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7749, -7753, -7759, -7767, -7777?\nAnswer: -7789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -355634, -355635, -355636, -355637?\nAnswer: -355638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1861950347.\nAnswer: 17, 151, 725341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 849216278 is divided by 1595.\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljjlljljljljjjljjjll. Give prob of sequence jljj.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 160\/224*(-16)\/(-80)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2591362 to the nearest integer?\nAnswer: 1610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r. Let i(l) = -3*l - 3. Let x(k) = -10 + 12 - 3. Let u(v) = i(v) - 3*x(v). What is u(j(p))?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 12:47 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2\/29))\/((w\/(w**(-2\/35)*w))\/w))\/(w**9\/w**(-19)) assuming w is positive.\nAnswer: w**(-26378\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.02 or -2947757?\nAnswer: -1.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37576245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - sqrt(66)*2)\/sqrt(2) - (sqrt(363)*1)\/sqrt(11))\/((sqrt(1100) + (sqrt(1100) - -1*sqrt(1100)))*3 + sqrt(1100)).\nAnswer: -sqrt(3)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 5*n + 41, 2*r - 2*n + 6*n = -2. Let z = 18 - 12. Let w be (-172)\/(-6) - z\/9. Calculate the greatest common factor of r and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) 3 (c) -0.00243 (d) 0.5 (e) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -99968, -99969, -99974, -99983, -99996, -100013, -100034?\n\"Answer: -2*w**2 + 5*w - 99971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2*d - 4)*(587*d - 13 - 82914*d**2 + 13 + 82912*d**2) to v*d**2 + s*d**3 + y*d + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 + -52?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 4*b = 0, -d - 6*b + 9*b = 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + -0.2. Let d = 4442822\/2724645 + -5\/16513. Let a = d - -2\/55. What is the closest to -1 in a, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5990000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 230*r**3 - 4*r**2 + 21*r + 23. Calculate n(-1).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -18*r**3 - 2*r**2 - 4*r - 5. Calculate j(-2).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-12)*-8*(0 + 3). Let r = 4 + j. Calculate the greatest common factor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 30 = -w. Let p(t) = t**2 - 3*t + 1. Let v be p(4). Let b be v\/(-10)*(10 + -2) + 40. Calculate the greatest common factor of b and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23550 is divided by 2140.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -20*t**3 - t**2 + 2*t - 1. Let f be b(1). Let x = f + 32. Factor -3*c**3 - x*c**2 + 7*c**3 + 0*c**3.\nAnswer: 4*c**2*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - 42?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -5374\nAnswer: -3\/5374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f. Let x(n) be the first derivative of 27*n**2 + 68 - 56*n**2 + 30*n**2. What is x(j(g))?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 378355 = 3*u, 7*j = 5*j + 10. What is u rounded to the nearest one thousand?\nAnswer: -126000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (0 + -3)\/(-1). Suppose -d + p*d - 300000 = 0. What is d rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 225554685 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -497865 and -10.532.\nAnswer: -497875.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 36490 = 3*k, 3*n + 21890 = 5*k - 38928. Is 158 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113 times -7.03\nAnswer: 794.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(1053) + -1)**2 - sqrt(1053)) + ((sqrt(13) + sqrt(208)\/sqrt(4))*2)**2.\nAnswer: -81*sqrt(13) + 1537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -3. Let q(s) = s**3 - 4*s**2 + 4*s. What is the units digit of q(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0.5. Suppose 0 = 7*r - r. Which is the third biggest value? (a) y (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**3\/13 + 66294*b**2\/13 + 3243504*b\/13 - 254600 = 0.\nAnswer: -33098, -50, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 8. Let f be w(14). Let t(j) = j**2 - 5*j - 3. What is the units digit of t(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -189 and -0.04.\nAnswer: 7.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, g: 1, w: 1, t: 2, x: 3}. What is prob of sequence gwo?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -21 + 38 + -14\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 87*h**2 - 102628*h + 1. Let n(b) = -26*b. Give n(o(q)).\nAnswer: -2262*q**2 + 2668328*q - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**3\/2 - 2*p**2 + 4*p. Let z be f(-3). Solve 3*g + 4*n + 8 = 0, -2*n + 6 = -z*n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 - 47. Let g(h) = 0*h**2 - 1 + h + h**2 + 5*h. Give g(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 2, -5\/3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -1\/12 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 9 + -21 + 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p - 27. Let u be (-7)\/14 + 21\/(-2). Let o be r(u). What is the greatest common factor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*k + 9 - 1 = 0, 2*k - 6 = -4*t. Suppose 4*c + 51 = -4*p - 1, t*c = 10. What is the lowest common multiple of 11 and ((-4)\/(-12))\/((-1)\/p)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69767\/14 - -4978. Calculate the common denominator of g and 68\/9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3705)\/38)\/(3\/(-4)). Let m = 194 - d. Suppose m*p - 62*p - 236 = 0. What are the prime factors of p?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*d - 15. Let t(l) = l**3 - 14*l**2 - 2*l - 3. Let u be t(d). Suppose u - 66 = z. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(30\/(-24))\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1242 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-6*6\/(-72).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46766894 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8 - 3 + n + 8 + 1. Suppose 4*s = -2*g - 27 - 7, 0 = -s - 2*g - 4. Let l be t(s). Solve -m - 4*i = i, -l*m = -i for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 222*t**3 - 5*t + 5. Let n(a) = -332*a**3 + 8*a - 8. What is -8*b(g) - 5*n(g)?\nAnswer: -116*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*i + 5. Which is the closest to 0? (a) i (b) -1.2 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -1.6, 7, 4, -2, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11555511 (base 7) in base 12?\nAnswer: -421480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4 + 2*l + 2*l + l**3 + 2 - 5*l + 5*l**2. Let x(w) = w**2 + 2*w - 5. Let h be x(-4). Is g(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-6))\/(-8)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 8*v**2 - 12*v - 21. Give f(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 27. Let w be 0\/1 - (-7 - -5) - v. Which is smaller: -11 or w?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154 and 231.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 0.4 (c) 1\/2 (d) 0 (e) 9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 105 = -97. Suppose -y = 8*z - 18. Solve z*a - 6 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 0.2 (b) 3694 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*w - 432 = -178*w. Is -19 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 63 = -7*j + 5*j, 200 = 3*p - 5*j. Let n = 134 + p. 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 square root of 350704777 to the nearest integer?\nAnswer: 18727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 15, 212, 1, 14 in increasing order.\nAnswer: 1, 3, 14, 15, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 9:16 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 + -1. Let n be (27\/6 - 4)*-10. Let z = 9 + -9. Put z, u, n in decreasing order.\nAnswer: u, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1831192 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -565 from -174.\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.15? (a) 1 (b) 2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 35 = -5*q, z + 20 = -3*z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642737740 a multiple of 4991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -b + 222. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 69*q**5 - 121410*q**4 + 71151474*q**3 - 13853794044*q**2 - 19992927087*q - 6067860090 = 0.\nAnswer: -1, -10\/23, 587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10*l**2 - l. Let v be s(1). Let d be (432\/(-28))\/9*-42. What is the highest common factor of v and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2929 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-3))\/n**(-2\/19)*(n\/(n\/(n*n**(5\/13))))\/(n*n**(2\/41)) assuming n is positive.\nAnswer: n**(44975\/10127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*u + w, 2 = 5*u - 4*w + 3. Let i(c) = -c**2 + 2*c + 2. What is i(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58 * 13.\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34a (base 11) to base 8.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 + 4 - 4 + (3 - 3 - q)*(-1203 - 143*q + 1203).\nAnswer: 141*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/8, 2, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/8 of a century?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-301)\/(-774))\/(28\/30)*6\/(-4)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2034 - 3312?\nAnswer: -10401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5857593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 3063?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8.421 in 24, 0.04, -2\/5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 110*g**2*u + g*u - 2*u + 3 wrt g.\nAnswer: 220*g*u + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -633010 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1368 and 627.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 12 = -3*r. Let d(t) = t**3 + t**2 + t - 7. Let c be d(0). Let i(j) = 2*j + 20. Let k be i(c). Solve -2*p + k*p = -r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1710 and 2371140.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-3*2\/4). Let u be 8\/2 + 20\/(-2). Is s greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g - 24*g + 1188 = 0. Let y = g - 366. Calculate the smallest common multiple of y and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.9350093km?\nAnswer: 93500.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2)*(-10)\/30?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 368?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/10*5*-2. Suppose 10 = g*w, 4*l - 5*w + 18 = -2*w. Let u(o) = -3*o - 3. Calculate u(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6*d**3 - d**2. Let l be a(1). Let w = l + 23. Suppose m = -3*m + w. Solve -2*n + m*n = -15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtmqcrcv. What is prob of picking 1 t and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 32*l**2 - 8*l + 267. Let k be t(32). Solve 15*c - 8 = k*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 426 + -445. Which is the nearest to 0? (a) j (b) 0.01 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(114)*1)\/sqrt(6)*-4 + 3.\nAnswer: 3 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4218187?\nAnswer: 2027, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v + 44. Let i be t(-4). Solve -2*p + 4*p - 4*c = 2, 4*p + 4*c + i = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 + -22. Let x be ((-12)\/r)\/(-1) + -2. What is the nearest to 6 in x, 2\/11, -0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 44\/(-8))\/(1\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/17 (b) 1 (c) 0.5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27589 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**5 + 4*s**5 - s**5)*(-6 - 2 - 5) + (3*s**3 + 4*s**3 - 5*s**3)*(-2*s**2 - s**2 + 4*s**2).\nAnswer: -24*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 73434.46 millilitres?\nAnswer: 73.43446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 2\/135*f**6 + 0*f**2 + 21*f - 11\/54*f**4 - 4\/27*f**3 - 1\/18*f**5 + 0. Suppose c(l) = 0. What is l?\nAnswer: -1, -1\/2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100067 divided by -9097\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 116124811 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*r**2 + 0)*(-41 + 25 + 36 + 15) to n*r + z + o*r**2 and give o.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 19*p - 13. Let w be a(6). Suppose 2*c = -4*q + w + 97, 5*c = 3*q + 572. Let z = c - -21. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6005040)\/41920 + (1 - -148).\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5*(-2)\/(-2)*3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**4\/8 - 62727*s**3\/8 + 3*s**2\/2 + 62727*s\/2 = 0.\nAnswer: -20909, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 g when three letters picked without replacement from fqqbgqbbfqggf?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4476)\/17158)\/(9\/(-46)))\/((-16)\/(-6)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - y**2 - 2*y + 15. What is m(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8244696?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 360*k**2 + 4625*k + 8. Calculate q(-13).\nAnswer: 723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15*0.012\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, k: 6}. What is prob of sequence xk?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qviiqntf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83.998759 - 84. Round q to five decimal places.\nAnswer: -0.00124","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/(-27))\/(6\/26)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.31 - -0.11. Let y = 0.2 + z. Which is the smallest value? (a) 0 (b) -5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.183*-0.5\nAnswer: 0.0915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/137 or -2781510?\nAnswer: -6\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570173 is divided by 5652?\nAnswer: 4973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from ghp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n. Let d(y) = 201*y. Give r(d(a)).\nAnswer: 804*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -278 + 276. What is the closest to 1 in f, 0.076, 0.05?\nAnswer: 0.076","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4 - 5181*y**2 + 2594*y**2 + 2588*y**2 - 29*y. What is x(30)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 3*i - 825 = 0. What is the greatest common factor of 15 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7777872 divided by 72.\nAnswer: -108026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7147627969819877\/78243 - 91351660468. Let x = 2\/7113 + m. What is the common denominator of x and -64\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((-34)\/(-30) - (-4)\/(-30)). Solve -4*o - 2*r - 6 - d = 0, 2*r = 3*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmnmljn. Give prob of picking 2 n.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 6*b + 3. Let d be g(-6). Let m = -382 - -124. Let k be m\/(-36) + d\/(-18). Solve -5*y + 2*a = 3*a + 2, -2*y + k = 3*a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55.4581 * 5.\nAnswer: 277.2905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 - 39*x - 3249. Give s(-32).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 19*z**2 - 541*z + 8565. Determine u(14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.294, -1, 3\/7, -8, -128\/7?\nAnswer: -0.294","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - b**2 + 9*b + 1. Calculate r(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -466*m*p**3 + 2*m*p**2 - 3*m*p + 20*p**3 + 119*p wrt m.\nAnswer: -466*p**3 + 2*p**2 - 3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + o - 3*k - 18, -2*o + 18 = 4*k. Let j = 13 - o. Suppose -j*h = 4 - 12. Solve -3*x + h*p = -5*x + 2, -1 = 3*x + p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 291\/14 + -142\/7. Which is the third smallest value? (a) 1 (b) -5 (c) -0.1 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-33)\/(-45) - (-6)\/(-15). What is the third smallest value in -0.3, w, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4692 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 17 (b) 4\/5 (c) 1 (d) -0.2 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -290672 and 0.2?\nAnswer: -58134.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07549 take away 0.26?\nAnswer: -0.18451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9931.\nAnswer: 9931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 2255.\nAnswer: -4\/2255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(153) - sqrt(153)*-3*6))\/(sqrt(54)\/(sqrt(726) - (sqrt(726) - (sqrt(726)*-2 - sqrt(726))))) + 4)**2.\nAnswer: 15048*sqrt(17) + 60148753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*g**2 - 8*g**2 + 11*g**2 + (5 - g**2 - 5)*(-1 - 3 + 5) + 0*g**2 + 3*g**2 - 2*g**2.\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8078570 to the power of 1\/3, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 55490744, 55490747, 55490750, 55490753, 55490756, 55490759?\n\"Answer: 3*b + 55490741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2409 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 + 35 = -15*a. What is the remainder when 80 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*q**4 + 2*q**3 + 161*q**2 - 14778*q - 24.\nAnswer: 300*q**2 + 12*q + 322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 8 = 3*n + 7*x, -3*x - 15 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29151 + -29146. Let w = 6 - 12. What is the closest to 1 in s, 3\/4, w, -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 678 = 4*d, -w - 212 = d - 43. Let i be (d\/(-51))\/((-4)\/(-18)). What is the highest common divisor of i and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g + 0*g = 9*g - 567280. Is g a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1 + 0 - 2 + 1 + (-1 - 4 + 3)*(-5 + 4 + 3))*(-627*w**2 + 627*w**2 + 17*w**3)*(w + 2*w + 0*w)*(-2*w + 3*w + 0*w).\nAnswer: -153*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1567 divide 4749296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-15))\/(1\/(-12)). Suppose -y*n = -3*n - 10. Find the third derivative of 2*a**2 - 15 + n*a**5 + 15 - 10*a**5 wrt a.\nAnswer: -480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-62)\/(-10) + -9)\/((-2)\/5). Suppose z*a - 17 = -10*a. Is -8\/17 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mebb when four letters picked without replacement from ddmdpdddbppppbbepbpe?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z**4\/5 + 951*z**3\/5 - 10617*z**2 + 136080*z - 537300 = 0.\nAnswer: -597\/8, 10, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2023 - -2865. Let x = -840 + k. What is the closest to x in -1, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*p = 67*p + 507. Let g(l) = 337*l - p*l - 171*l. Let f(t) = 55*t**2. Give g(f(o)).\nAnswer: -165*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5394*p + 4148*p - 2387*p - 543780 for p.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -244? (a) -3\/4 (b) -33 (c) -27.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 - 4*d**2 - 1. Is t(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12901710421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 - 6*a**3 + a - 3*a + 0*a - 2*a - 2*a**4 in the form p*a**3 + y*a**2 + n + m*a**4 + g*a and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Let h(r) = r**3 - 15*r**2 + 13. Let i be h(15). Suppose -3*a + i = 1. Solve 5*n - 4*d = 9, a*n - d - 16 + 0 = z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 6*o**4\/11 - 5410*o**3\/11 + 175652*o**2\/11 - 274160*o\/11 - 111104\/11 = 0.\nAnswer: -1\/3, 2, 32, 868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n - 22*n + 5*n - 7 + 11*n. Determine m(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 - (4 - (-35 + -6))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3 + 2*o**3)*(-4 - 6 + 3).\nAnswer: -14*o**3 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2572 by -2.\nAnswer: 1286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24834247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 79*x + 0 + 0 + 2 + x**2 - 82*x = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 366\/488*4\/(-4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 919531, 919521, 919497, 919453, 919383?\n\"Answer: -r**3 - r**2 + 919533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 2, -0.15, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2668.58719 to the nearest integer.\nAnswer: -2669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.99, -0.2, 1.3, 0.1, -3.\nAnswer: -7.99, -3, -0.2, 0.1, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11530 - 3.32386\nAnswer: -11533.32386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -144 (base 6) to base 2\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52 - 0) + (-35 - 310)\/(-15).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*h = -9150, -21*b + 22*b - h = 3050. What is the lowest common multiple of b and 22?\nAnswer: 33550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3316832, 6633665, 9950498, 13267331, 16584164, 19900997?\nAnswer: 23217830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21226 - -21229. What is the nearest to -1 in -2\/325, -4\/7, v?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 328*y + 168*y = -162*y - 15, -6*a + 5*y - 12 = -3*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102727788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 608454 (base 9) to base 13.\nAnswer: c8119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxsnfnnxffnffxfnfnww. Give prob of picking 2 n.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/(-23))\/(26941\/619643)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178260516 divided by -84.\nAnswer: 2122149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5950 = -681*w + 686*w. Suppose -w = -11*y - 6*y. Calculate the lowest common multiple of y and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + 3. Let s = 33 - r. Is 21 a factor of s\/(-39) - (-1168)\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218108 to the power of 1\/2, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**4 - 29744957*r + 10554175 wrt r.\nAnswer: -4*r**3 - 29744957","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 6, -6\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/3920 and -121\/722610.\nAnswer: 40466160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 916108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110010111000001001 (base 2) in base 4?\nAnswer: 10302320021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*q**2 - 172*q**2 - 167*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 + t. Let r be k(-1). Suppose 4*a = 3*d + 12, -d = a - r - 2. Let g be 3\/a + 2\/1. Solve -4*u = g*p - 5, 2*p = -5*u - 2*p + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 < -92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 77\/32 (b) -4\/9 (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.5460017805 + -594.4539868395. Let k = q + 601. What is k rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82931553?\nAnswer: 3, 3071539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.5 in -4, -0.5, 12, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o + 29. Let s be v(6). Let b = -206\/35 + 44\/7. Which is greater: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xeh when three letters picked without replacement from ytehx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15761417957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -123 - 62. Calculate the remainder when r is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 27, 2 in descending order.\nAnswer: 27, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 + 7*j - 11. Let r be k(-5). Suppose -3*y - 23 = -2*q + 17, 0 = y + r. Calculate the remainder when 45 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 45915552?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.04, 0.5, -69079, 2\/3.\nAnswer: -69079, 0.04, 0.5, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10 - 1*1\/2*-2. Solve -8*b = -y*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 13*t - 8532. What is f(-99)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 25 = -127. Let w(s) = -s**3 + 9*s**2 - 7*s + 5. Let u be w(4). Calculate the greatest common factor of u and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and (12\/(-5))\/(4\/(-10)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/20*((-320)\/(-108))\/(-16)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m - 42 + 16 + 10*m + 17 + 13.\nAnswer: -2*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h + 6. Let w(x) be the first derivative of 19 - 1\/2*x**2 + x. Let a(p) = c(p) - 5*w(p). What is the derivative of a(f) wrt f?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*l + d = -178*l - 97, -49*l = -48*l + 4*d - 18 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -6. Let v = 6 + w. Let g(d) = -3*d + d**2 + 6*d + 0*d - 6 + v. Give g(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.3858t in milligrams?\nAnswer: 25385800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 202258926 and 2034.\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9617088 rounded to 3 dps?\nAnswer: -0.962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105000 = 2*f + f. Round f to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(13\/3))**(2\/63))**25)**(1\/11) assuming q is positive.\nAnswer: q**(650\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((6*(sqrt(1216) + -2)**2 - sqrt(1216)) + (2 + (sqrt(1216) - (1 + sqrt(1216))))**2 - (sqrt(475) + (4*sqrt(475)*-5)**2)*-3).\nAnswer: -185*sqrt(19) + 577320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, 87, 426, 1087, 2178, 3807?\nAnswer: 6082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 11:56 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -691 and -8969\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(242) + 3*sqrt(242))\/sqrt(11))\/(sqrt(275) + sqrt(275)*-2*-3)*-4*4.\nAnswer: -64*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 10*y**2. Let c(n) = -50*n - 5. Let j be c(-1). Let o be j\/(-12)*(-36 - -2 - -2). Let z(h) = -2*h**2 - o*h + 120*h. Give z(d(a)).\nAnswer: -200*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 574*t**2 + 161 - 1270*t**2 + 160 - 321 - 1478*t**2.\nAnswer: -2174*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -43*p + 308. Let w(r) = -6*r + 18. What is the least common multiple of w(-5) and p?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2852*s**2 - 4*s - 6. What are the prime factors of x(-1)?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 15*b**7\/7 + b**6\/3 - 2*b**3\/3 - 3*b**2 - 17. Find the third derivative of d(h) wrt h.\nAnswer: 1800*h**3 + 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 498062, 996117, 1494172, 1992227, 2490282, 2988337?\n\"Answer: 498055*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*s - 48 = -35, 0 = 2*a + 5*s - 29. Let z(j) = -j**3 + 4*j**2 + 3*j - 2. Let o be z(3). Factor 30 + o*h + 2*h**a + 0*h - 16.\nAnswer: 2*(h + 1)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 37.74 and 2513.\nAnswer: 2550.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17455652 - -3455.\nAnswer: 17459107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 200120004341?\nAnswer: 200120004331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + 8 - 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.6, -74, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -144 - -169. Solve 5*z = -3*n - n + b, -2*n + 7 = -3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30300\/(-2323) + 27\/621?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - -16 - (-4 + -2 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-245)\/10*(-4)\/(-7) - -34\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -372*q**2*z - 157*z + 2 with respect to q.\nAnswer: -744*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0196 and -0.3.\nAnswer: 0.00588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, -71 in ascending order.\nAnswer: -71, -7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 11*v - 1. Let y be ((-483)\/(-23))\/(4 - 1). Let i(s) = 4*s. Calculate y*i(m) - 2*k(m).\nAnswer: 6*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 50*b**2 + 52*b**2 - 1 - 3 as i*b**2 + h*b + s and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/102)\/(1\/2))\/(7\/14).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 259 * 0.5\nAnswer: 129.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -6*s**3\/7 - 1092*s**2 + 15360*s\/7 + 61248\/7 = 0.\nAnswer: -1276, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 170*a**5*m + 3387*a**4*m - 4*a**2*m + 64*a**2 - 16*a*m + 3*m - 3 wrt a.\nAnswer: 10200*a**2*m + 81288*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -475011*c**3*q**2 + 52*c**3*v + 189*c**3 + 8*c**2 + 12*q*v wrt q.\nAnswer: -950022*c**3*q + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 8, k: 3}. What is prob of sequence ggkg?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 11*u**2 - 14*u + 3. What is x(-11)?\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/6 and -73\/98.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/6734620 and -27\/5387696.\nAnswer: 26938480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 + 9126 = 407*m - 2856 - 1165 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 1:16 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61.1563 - 1429.\nAnswer: -1490.1563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1951*x**5 - 3681*x**2?\nAnswer: 117060*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/11934 and 47\/1768.\nAnswer: 47736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-2)\/2)*63\/63.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 22 = 2*z + 8, -2*z = l + 2. Let f be -3*(2 - l)\/2. Suppose -6 - 3 = -h - f*m, -2*h = 2*m - 14. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/308)\/((33\/77)\/((-30)\/(-7))).\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*y**2 - 4*y**2 + 33*y**2 - 37*y**2.\nAnswer: -34*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m - 39*m = 47 - 208 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 29*u - 30*u + 6, 6 = -3*g + 3*u. Is g at least as big as -2\/773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 103513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 666, 659, 652?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/100 - (1632\/10 - -1). Let i = 429 + v. List the prime factors of i.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 664.\nAnswer: 5\/664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f\/(f\/(f\/(f\/((f*f**(1\/6))\/f)))*f*f)*f)*f))\/f)**29\/((f*f\/(f\/f**(-8\/7)))\/f*f\/(f\/(f**(-17)\/f))) assuming f is positive.\nAnswer: f**(-2647\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-18) + 14\/18. Let m(s) be the second derivative of 3499*s**4\/12 + s**3\/6 - s. Let q be m(a). What is q rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*h**3 + 17*h**3 + 5*h**2 - 26*h + 25*h as c*h**2 + g*h**3 + l*h + s and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0*k + 8. Let z be 1\/3*(k - -1). Let j = -0.7 - -1.7. Which is the nearest to j? (a) -2 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -0.13. Let q = 0.13 + v. Let x be (-1)\/(4\/(-11)) + (32 - 35). Which is the closest to q? (a) -4 (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96083?\nAnswer: 13, 19, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*b + 11*b = -3675. Is b a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121010 - 11?\nAnswer: 1120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 27378842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -5.8, 1\/4?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 285537 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -105987 rounded to the nearest 1000?\nAnswer: -106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 10:44 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b + r + 1129 = 0, -5*b + 2*r = -1133. Let c = 227 - b. Solve -12 = 6*f - c*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -1\/7, -3, 48 in descending order.\nAnswer: 48, 2\/11, -1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - 27633aa?\nAnswer: -27633a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30864.67047309 - 0.58947309. Let t = v + -30851. Let b = -0.019 - t. Round b to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 680538 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -792 + 2606*t + 103 - 2461*t wrt t.\nAnswer: 145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*x - 2*x. Let s be (0 - 40)\/(4 - 6). Suppose -4*k = k + s. Which is greater: k or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11987 * 0.3.\nAnswer: -3596.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 121 = 17*m. Sort -3, -21, m.\nAnswer: -21, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + o - 2*o + 4*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1583996\/(-18) - 6\/27. What is k rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76859485891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9474216 is divided by 740?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by 29.\nAnswer: 25\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**2 - 3. Let b(u) = -3*u**3 + 4*u**2 + 5*u + 4. Let l be b(-3). Let p(w) = l*w - 67*w - 64*w. Give z(p(y)).\nAnswer: 50*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w**2 + 4*w - 6. Let p be c(4). Let a(l) = -l**2 - 9*l - 2. Let h be a(-5). What is the highest common divisor of h and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -14. Suppose -1 = -l + t*f + 1, -2 = -l + 3*f. Suppose 0 = -l*w + 236 - 42. Is w a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3429157 to the nearest integer?\nAnswer: 1852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (0 + 15) - 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**15\/((p*p\/(p*p**(-31)))\/p*p) assuming p is positive.\nAnswer: p**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 43422663 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -117?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - a**3 + (1 + 4 - 2)*(6*a + 7*a**3 - 6*a) + 6*a**3 - 2*a**3 - 2*a**3.\nAnswer: 22*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -1. Let k(x) = 3*x - 4. Let i(b) = 3*k(b) - 6*q(b). Let n be i(2). Is n at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((k**(19\/5)\/k)\/k))*k**18)\/((k\/(k\/(k\/k**(-17))*k))\/k**(-2\/3)))**(-43) assuming k is positive.\nAnswer: k**(-1376\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -2*h**3\/3 + 53*h**2\/2 - 224*h - 67. What is the derivative of n(i) wrt i?\nAnswer: -4*i + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*l - 12. Let n be (-4)\/(-10) + l\/10. Solve n*q = 4*q + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6\/11, -1, 0.1, -837 in decreasing order.\nAnswer: 3, 0.1, -6\/11, -1, -837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -12 - (6 - 13) - -337. Let j(b) = 0*b**2 + k - 318 + 8*b + b**2. Give j(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -887 less than 517.16?\nAnswer: 1404.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38530.\nAnswer: 2, 5, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -91, 3, 1\/2, 0.3, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**2 + k. Let z(u) = 8*u**2 + 197*u + 44. Let p be z(-28). Let l = 802 - p. Give b(l).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000111072 rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0045246 rounded to 5 dps?\nAnswer: -0.00452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 1217 (c) 0.3017 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21808341 = 3*w - 124351659. What is w rounded to the nearest one million?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4782343 to the nearest integer?\nAnswer: 2187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 39 (base 15) to base 10\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((741\/(-76))\/(3\/(-4)))\/1. Suppose 2*v = 4*y + 28, 19 = -v - 5*y - 2. Let l(c) = -1 + z + 5*c - v*c + 3. Determine l(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*d*g*m**3 + 17892*d*g + g*m**3 + 4*g*m with respect to m.\nAnswer: 201*d*g*m**2 + 3*g*m**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 18*d = -4990. Let n = -495 - d. Solve -p = n + 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -4 (b) -3 (c) 2868 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 4:48 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560) + sqrt(560)*1)\/(sqrt(405) - (sqrt(405) + (sqrt(405)*-3 + sqrt(405) + sqrt(405) - sqrt(405)))).\nAnswer: 4*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccbhqbccibq. What is prob of picking 1 c, 1 q, and 1 h?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/9 - 64*q**2\/9 + 943*q\/9.\nAnswer: q*(q - 41)*(q - 23)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 + 5*u - u**3 + 5*u**2 + u + 5. Let z = -7 + 3. Calculate m(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(832) + 2*sqrt(832))*3 + (-3*sqrt(832) + -5 - (sqrt(832) + 2 + 5 + sqrt(832))))**2 + 5.\nAnswer: 6624*sqrt(13) + 440457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.899999496 - -0.9. What is n rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(((i\/(i**(-4\/19)*i))\/i)\/i)*i*i**(4\/3))\/(i**(1\/5))**(-48) assuming i is positive.\nAnswer: i**(4196\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ug when two letters picked without replacement from {c: 1, g: 1, u: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 531872 = 145*s - 780088. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28476 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232499 divided by -714?\nAnswer: -410833\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, u: 2, q: 1, x: 1, n: 1, d: 6}. What is prob of sequence uqd?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 14. Let b be m(3). Solve b*z + 41 = 4*j, 0 = -3*j + j + 8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 4. Let v be q(4). Suppose v = -s - 4*o - 23, 5*o + 1 + 9 = 5*s. What are the prime factors of (12\/3 + s)*14?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*i - 250 = 110 + 92 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) 0.47 (c) -0.1 (d) -5.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -3 + (-3 - -8). Let c = -8 + m. Is -3 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1860 - 961. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/21)\/2*4. Let g(o) = o - 1. Let w be g(-1). Let f be 4*-1*w\/(-4). Which is bigger: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o - 2. Let q be y(-3). Let h be ((-88)\/22)\/(-3 + q). Let w = 181 - 178. Which is the nearest to -1\/3? (a) h (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 27\/(-9))*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106073407.\nAnswer: 11, 47, 205171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302*g = -286*g - 88160. Does 145 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9375207 and 783?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 12, 82 = -k - 5*h + 70. Solve 4*z = -16, -6*w + k*w = 5*z + 35 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/50*17\/((-476)\/35)*4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50? (a) 1.6679 (b) -1 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h - 3. Let g(l) = -5*l. Give g(w(p)).\nAnswer: -20*p + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 - -97. Suppose -2*i + f = -i. Calculate the remainder when i is divided by (-1 - 2)*30\/(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -29. Is z a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 + 74 - (-29 + -32 - -29 - -30)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -0*c - 3*c. What is the remainder when c is divided by ((-24)\/10 + 7 - 4)\/((-1)\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312563 (base 7) to base 15.\nAnswer: 10e18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8741?\nAnswer: 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + -3 + (0 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 6*i**2 + 5*i + 4. Suppose -3*t - 25 + 8 = 5*q, -3*t + 5*q = 7. Is o(t) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -5 (c) 0.2 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100110 + 1111111010111011011011?\nAnswer: 1111111010110110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.071 - -529.871. Let v = z + -526. Sort 3, 11, v in ascending order.\nAnswer: v, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2348*x - 702 = 2374*x for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhuhhhuhuuuhuhuhuhuh. Give prob of sequence huu.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i, -i = -3*w - 3*i + 153. Solve -6*k + w = 21 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166864398 divided by -48606?\nAnswer: -3433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a meter in millimeters?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 81*m + 338. Determine g(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109 - -115. Let h be 8 + (-2 - 2) + j. Solve 6*f + 16 = h*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -34. Let v be (-11)\/22 + (-42)\/y. Let x(h) = -h**2 - 13*h - 20. Let n be x(v). Solve n*m - 1 = -p, -3*m + p + 5 = -p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 6) to base 5\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1\/4)*t*t)\/t**17)**(-2\/151) assuming t is positive.\nAnswer: t**(55\/302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1729\/(-62244)*(-81)\/(-3)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111 - 60. Suppose 5*u - 231 = -z. Calculate the remainder when u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 7*z**2 + 6*z + 4. Let f be v(6). Suppose f*q - 35 - 9 = 0. Suppose 4*u = 9*u - 100. What is the remainder when u is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 2*a + 7. Let v(o) = 6*o + 60. Let d be v(-10). Let u be t(d). Suppose -u*p - 205 = -12*p. Calculate the remainder when p is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*d - 2101 = 0, 4*w = -21*d + 16*d + 2099. Calculate the least common multiple of 2104 and w.\nAnswer: 2104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*x - 2. Let c(o) = 5*o + 1. Let a(u) = -1 + 14*u - 8*u + 3. Give x*a(h) - 4*c(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 + -8)\/(-4) + 304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -217478 (base 10) to base 11.\nAnswer: -139438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 614713.8 millennia to centuries.\nAnswer: 6147138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11661979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(24\/6))\/(3\/18)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000012238 to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139525324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**2 + 5*b + 7. Let d(r) = -r - 1. Let v(n) = 21*d(n) + 3*z(n). Find the second derivative of v(u) wrt u.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 979149.4 minutes?\nAnswer: 58748964000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 68 = 2*j, -c + 184 = 5*j + 2*c. Let z = j - 308\/9. What is the common denominator of (-70)\/(-3) + (-2)\/3 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 36*c**2 + 228*c + 11741. What is the ten thousands digit of z(-46)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1586557*a**3 + 139308*a - 3 wrt a.\nAnswer: -9519342*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13868 (base 12) to base 5\nAnswer: 1332102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28963195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 50\/3*6\/20. Sort -4, 238, l in descending order.\nAnswer: 238, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 348 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34 and 18?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 237.4918 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 0*p**3 - 35\/12*p**4 - 13\/12*p**5 - 1\/8*p**6 - 35*p**2 + 0 - p. Factor g(r).\nAnswer: -5*r*(r + 2)*(3*r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -1\/478825660?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-10))\/((-6)\/15). Which is the third smallest value? (a) r (b) 14\/9 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h + 1. Let y(m) = -m. Calculate -n(p) + 4*y(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2867 + -2629. Calculate the remainder when w is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -103476*v + 3828625. What is o(37)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*4*(-20)\/(-40).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1, 16\/7, -0.2?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3711, 14910, 33605, 59820, 93579?\nAnswer: 134906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 782207.7 days?\nAnswer: 67582745280000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*s - 31, s + 14 = 2*s + 2*f. Suppose -5*p + 15 = 5*r, 0*p = 3*r + p - 13. Factor -5*j**s + 5*j**r - 3*j**5 + j**4 + 2*j**3.\nAnswer: 2*j**3*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 4*b - 2*b - b - b + b + (-1 - 2 + 2)*(-3*b + 5*b + 0*b) + 4*b - 3*b + 0*b + 4 - 10 + 2*b - 4*b + (-2 + 0 + 3)*(-2*b - 9*b + b) + 0*b - 3*b + 2*b.\nAnswer: -16*b - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 9 = -2*t. Suppose -110 = -f - 5*p + 120, 5*p + 190 = f. Suppose -2*m - t*m = -f. Calculate the greatest common divisor of m and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/4, 1, 380, 0.005, 7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 9922164?\nAnswer: -5\/9922164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 409, 1809, 4137, 7387, 11553, 16629?\nAnswer: 22609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 428180 divided by 2\nAnswer: 214090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 14) + (16 - 35) + 17.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*f = 14*f - 45 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 228, 4\/5, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**6\/300 - h**5\/120 - 7*h**4\/240 + h**3\/30 - 8*h**2 + h. Find i such that g(i) = 0.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*m, -48 = -2*o - m + 37. Calculate the greatest common divisor of o and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54.884 - -55. Let m = i - -91.884. Let q = -91.99959 + m. Round q to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25147281191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-570))\/((-25)\/(-50))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -49, -44, -23, 20, 91, 196, 341?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 12\/(-6)) + (-470444)\/198. Let v = l - -2373. Is v at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/6 + 558\/1164. Let r = p - -2\/97. Which is the nearest to 0? (a) r (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -141 - -178. Calculate the remainder when q is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 - f**3 - 2*f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11110111110 (base 2) to base 15\nAnswer: 8c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 410996 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/12)*q*q**(-1\/5)*q*q*q*q**(-9)*q*q*(q\/q**(3\/17)*q)\/q assuming q is positive.\nAnswer: q**(-2339\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6486*h**3 - 7*h**2 + 2*h - 1. Is 27 a factor of z(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a second in milliseconds?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from pwopupu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 551666 or 551665?\nAnswer: 551666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lpptlltlllpllltlll. What is prob of sequence ttpp?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -5*g - 2. Let f be 4 - 280\/(3 + g). Calculate the smallest common multiple of f\/(-8) + (-1)\/4 and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1041 + -1039. Let d be 2 - (-1157)\/(-14)*-6. Let g = 500 - d. Which is smaller: z or g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 315626 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**7\/336 - l**6\/96 + l**5\/12 - 5*l**4\/32 - 11*l**3\/3 + 5. Let g(y) be the third derivative of q(y). Factor g(f).\nAnswer: -5*(f - 1)*(f + 3)*(2*f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -114 + 568\/5. Which is the closest to r? (a) 1\/5 (b) 0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f = 19*f + 2*d - 797, -5*f + 5*d + 4030 = 0. Let w = f - 88. What are the prime factors of w?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + -4)\/(70\/(-1196440))?\nAnswer: 2, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2862 and 315032?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.017 - -6.983. What is the fourth biggest value in h, 0.1, -80, 2?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 590 and 108678?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n**3 + 8*n - 113. Let g(v) = -4*v**3 - 5*v + 75. Let i(t) = -241*t + 2897. Let d be i(12). Give d*r(a) + 8*g(a).\nAnswer: -2*a**3 + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(171) + sqrt(171) + -1*sqrt(171)))\/(sqrt(225) + sqrt(225)*-2).\nAnswer: -6*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 30*y**2 - y - 2. Let v be j(-1). Suppose a + v = 5*d, -4*d + 2*a + 19 + 9 = 0. Solve -d*n - 7 = h, -6*h - 4 = -4*n - 2*h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 211229896 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -30, -80, -150, -246, -374?\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64\/257167 or -8?\nAnswer: 64\/257167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 6 - -21*(-6)\/45?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*z + t, 6*t = 3*z + 4*t + 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3536777 and 135488?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 1\/(1\/4). Suppose 0*v = -2*v + 10, -3*v = -2*j + 25. Calculate the highest common divisor of j and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2061734 or -2061735?\nAnswer: -2061735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -1001*a**2 + 7003*a + 11. Determine t(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9, -3, -635, -4, -11 in decreasing order.\nAnswer: -1, -3, -4, -9, -11, -635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 284, 4, -4, -89, -2, 7, 5 in ascending order.\nAnswer: -89, -4, -2, 4, 5, 7, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -4. Let i(k) = -4 + 0*k**2 + 4*k + 2*k**2 - 3*k**2. Calculate i(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - x**2 - 8*x + 12. Let p be u(2). Suppose -7*b - 17*b + 1296 = p. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 22*b + 26. Let l be k(-23). Suppose d - 2*t - 149 = 0, 6*d - d = l*t + 738. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.9378 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -12*a**2 + 2597*a + 6805. Give y(219).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 186*s**3 + 2*s**2 + 189*s - 381. Let b be p(2). Solve 7*k - 1479 = -b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t. Let l(k) = 31*k - 2. Give y(l(h)).\nAnswer: -31*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61242*l**5 + 898*l + 8.\nAnswer: -1224840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2. Suppose 4*b - 2*h - 50 = 38, -b + 4*h + 36 = 0. Let a(r) = -4*r**2 + b*r**2 - r**2 + 9*r**2. Determine a(v(g)).\nAnswer: 96*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22874 + 22874 + 21*x**3.\nAnswer: 21*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f**2 - 55*f - 72. Let o(i) = 3*i**2 + 27*i + 38. Let r(a) = -9*o(a) - 4*x(a). What is r(25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/10*2\/3)\/((-68)\/646)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/315 and -23\/840.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402 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: Put 2230, -5, 15, -6 in decreasing order.\nAnswer: 2230, 15, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3394 + -3388. Suppose 5*v - 48 + 19 = 3*x, -9 = -3*v - x. Calculate the remainder when w is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37092 is divided by 7163.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b. Suppose 5 = -4*a - x + 27, -5*a + 27 = x. Let q(i) = 4*i**2 + 5*i. What is a*u(c) - q(c)?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 10. Let f(v) = -1. Let w(y) = 3*y - 6. Let d(j) = n*w(j) + 6*f(j). Suppose -23*o - 30 + 2 = 18. Let a(c) = c**2 - 15*c. Give o*a(r) + 11*d(r).\nAnswer: -2*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59485.\nAnswer: 5, 11897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23374598 is divided by 7791530.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332\/8 - 15\/(-10).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 16*p + 20. Let s be h(14). Let v(l) = l + 9. Let k be v(s). Solve -2*m = -3 - k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/9 + (-4)\/(-12). Let a(c) = -c**3 - 4*c**2 - 3*c - 7. What is the units digit of a(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*(-6)\/9.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1900) - (sqrt(1900) + (-3*sqrt(1900) + -2)**2 + sqrt(1900))) + (-2*sqrt(1900)*-4 + sqrt(1900))**2)*5 + 5.\nAnswer: -4103875 + 3900*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 135*p**2 - 25*p - 83. What is the hundreds digit of b(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = 5 - 26 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*i - 62 - 18. What is the smallest common multiple of -6 + 286*i\/8 and 1?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/110 and 13\/77?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/(-20) + (-66)\/8. Let u be (r\/6)\/((-2)\/4). Which is the biggest value? (a) u (b) -4\/3 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u**(2\/5)\/u))**(-24\/11)*(u**(-2\/7)\/u)\/(u*u**(2\/5)))\/(((u\/(u*u*(u*u**(-2\/3))\/u)*u)\/u)**34)**(-36) assuming u is positive.\nAnswer: u**(-160298\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 755.4172388 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 2*f - 0*f - 17, i + 2*f = 13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31988909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50471 by -41.\nAnswer: -1231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 7:30 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1304082?\nAnswer: 2, 3, 13, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 2. Suppose -g + 5*w + 10 = 0, 4*g + 0*w + 26 = -2*w. Let m be o(g). Sort m, 4, -1 in descending order.\nAnswer: 4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 11:04 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 2\/7 (c) 2\/579 (d) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -525 + -876. Let m = -547 - k. List the prime factors of m.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66450547.\nAnswer: 83, 641, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s - 31. Let k = -166 + 138. What is the remainder when 43 is divided by t(k)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251697 bigger than -0.17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1741773, -3483547, -5225321?\n\"Answer: -1741774*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + sqrt(12)\/sqrt(6)).\nAnswer: -2*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -26.9 from 0.88181.\nAnswer: 27.78181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3553 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*p*r**4*z**3 - 3*p*r**3*z**2 - 5*p*z**2 + 2*r**2*z**2 - 2*z**3 wrt r.\nAnswer: 216*p*r*z**3 - 18*p*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k. Let o(y) = 14*y**2 + 17*y + 6. Let h(j) = -o(j) + 6*p(j). Let l = 53 + -45. Let f(a) = 9*a**2 + 7*a + 4. Calculate l*f(d) + 5*h(d).\nAnswer: 2*d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 394646353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-16904.4.\nAnswer: 67617.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24982 to 3 decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3*r**3 - 59*a**3*r**2 + 231*a**3*r + 4*a**3 - r wrt r?\nAnswer: 12*a**3*r - 118*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-34)\/(-6) + -4 + (-117)\/(-27). Suppose 35*q = 38*q - 1341. Suppose -q = -3*t - 2*v, v = -h*t + 4*t + 298. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/8 + -13\/24. Let u be (9\/(-6))\/((-3)\/(-10)). Let m be (-1 + 10\/6)*15\/u. Is m not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huud when four letters picked without replacement from {u: 4, f: 7, h: 3, k: 1, d: 2}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4995857*i**3 + 2073189*i?\nAnswer: -29975142*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r - 30459. Let a(y) = y. Calculate l(a(t)).\nAnswer: 6*t - 30459","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3999 to 2 dps.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1318, -1102, -808, -430, 38, 602?\n\"Answer: n**3 + 33*n**2 + 110*n - 1462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.069, -0.2, -1.1, -0.1, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from ddddlddxyddxdxd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80 + -79.941. Let z = t - 5.059. Let v = -0.4 - -0.7. Which is the second smallest value? (a) v (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 + 58 = -11*x. Solve -2*v - x*f + 35 = 3*v, -2*f + 12 = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9084?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 29484 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(3*sqrt(16)\/sqrt(4)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j - 3. Suppose -5*y = -3*y + 6. Let b = -5 - -7. Let o be (-1)\/2 + 9\/b. Let r(l) = -2*l - 2. Calculate o*r(k) + y*q(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.054 (b) -4318 (c) -1.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29407156 by -180412.\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3348)\/(-1395))\/(145\/(-600) + (-2)\/(-12)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/2)\/((g\/((g*g\/g**(3\/4)*g)\/g))\/g)*g**(2\/9)*(g**(-1\/2)\/g)\/g*g*g assuming g is positive.\nAnswer: g**(17\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*t = 660 + 96 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -54800.\nAnswer: 1\/54800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 9 = a - 29, 0 = -3*a - 3*s. Solve 9*t - a*t - y = -2, 2*y - 4 = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - 0.5. Let p = i - -0.3. Let j = 71.7 + -72. What is the nearest to 2 in j, -3, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 1:16 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 4:46 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 27926715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 14) in base 13?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 34482, 34498, 34530, 34584, 34666, 34782, 34938, 35140?\n\"Answer: i**3 + 2*i**2 + 3*i + 34476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtt when three letters picked without replacement from {t: 3, g: 9}?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/4 - 240\/(-64)) + 3\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2460.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 + j**2 + 11*j + 7. Let w(t) = t**3 - t**2 - 5*t - 4. Let v(p) = 5*w(p) + 3*x(p). What is the tens digit of v(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5803, -10859, -15699, -20317, -24707?\nAnswer: -28863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 2*a + 2*a**3 + (108*a**3 - 133*a**3 + 88*a**3)*(1 + 2 - 2) + (-a**2 + 4*a**2 - 2*a**2)*(-4*a + 2*a + 0*a) + a**3 + a**3 - 5*a**3.\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.8 - -4. Let p = -0.2 + x. Let n = p + 2. What is the nearest to -2 in n, -2\/3, -1\/8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14905, -27998, -41091, -54184, -67277, -80370?\nAnswer: -93463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1743826?\nAnswer: 2, 7, 17, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 10:07 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 4 = -6*k, 5*h + 6 = 2*k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -5 (b) 10\/141 (c) -686833\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z**2)\/z))\/z*z**8)**17 assuming z is positive.\nAnswer: z**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 91*g + 145. What is the hundreds digit of a(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58.1 + 58. Which is the third biggest value? (a) -3 (b) 14 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746893 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -2*i**3\/27 - 4*i**2\/3 - 45. Suppose o(l) = 0. What is l?\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -4. Put 3\/2, r, 0 in ascending order.\nAnswer: 0, 3\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c + 27. Let d(m) = -5*m - 109. What is 2*d(z) + 9*x(z)?\nAnswer: -z + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 7*k**4\/3 - 5*k. Let m(b) = 2*b**2. Determine m(x(r)).\nAnswer: 1568*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 0 + 1 + 13 - 2 - t. Let d be c(-9). Solve -d = -3*m - 3*g - 0*g, -m = -3*g + 13 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 166\/(-54) + 1\/(-18)*824\/(-618).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + s - 13. Let h be m(0). Let y = h - -24. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c**3 + 4*c**2 + 9*c - 3. Let h(f) = -12*f**3 + 7*f**2 + 15*f - 5. Let b(r) = -3*h(r) + 5*w(r). Let k(s) = -s - 5. Calculate -b(u) + k(u).\nAnswer: -u**3 + u**2 - u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -28213*z - 112840. Calculate y(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 4 + 1 - 6) + (-22 - -72)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5*(sqrt(300) + 0) + sqrt(300) + 1 + 0 + sqrt(300) + 6*(4 + sqrt(300) + (-1 + sqrt(300) - sqrt(300)))))**2.\nAnswer: 19760*sqrt(3) + 204244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*c + 25, 2*b = 5 - 7. Let o(t) = -13*t + 34*t - 1 - 18*t - c*t. Let j(i) = -i. Give -22*j(f) + 2*o(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n - 26. Let h(g) = -g + 9. Let q(w) = 3*c(w) + 8*h(w). Let i = 8 + -4. Suppose 0 = -p + t + 10, -5*p + i + 34 = -2*t. Calculate q(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 54 = -2*v, v - 27 = 4086*a - 4085*a for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*-2*sqrt(19))**2*-2*-5.\nAnswer: 82080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 296 = 3*n, -4*x - 2*n + 204 + 92 = 0. Calculate the highest common factor of 1406 and x.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012609658614 rounded to 6 dps?\nAnswer: -0.01261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*h*t - 10752*h + 194194*t wrt h?\nAnswer: -9*t - 10752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 280 and 594090?\nAnswer: 2376360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2232590 to the nearest integer?\nAnswer: 1494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/2)*t**(-4))\/(t**(-5)*t*t**(-2\/15)\/t))\/(t**(6\/17)*t**(2\/7)*t**(1\/11)) assuming t is positive.\nAnswer: t**(74761\/39270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 13028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -39. Let l(z) = -z**3 + 8*z**2 - 2*z + 6. List the prime factors of l(o).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3 + 0*d**2 + 9*d**2 - 9*d + 9. Let i be g(-11). What is i rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 662013?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*q + 673, 2*q = -1002*j + 1003*j + 661. What is the highest common factor of 3071 and q?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.138093030106 and 0.2?\nAnswer: 0.338093030106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 1. Let w(r) be the first derivative of r**3\/3 + 7*r**2\/2 - 7*r - 57. Let x(z) = -2*f(z) + w(z). Calculate x(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(85)*4*5)\/(sqrt(5)*5*4))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -49, 26, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 1\/132*j**4 - 1\/660*j**6 + 0*j + 0*j**3 + 0*j**5 - 12*j**2 + 0. Factor q(u).\nAnswer: -2*u*(u - 1)*(u + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnu. What is prob of sequence wn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**4*f*f)\/f)\/f*((f**(-3)*f)\/f)\/f*f)\/(f**(-1\/12)\/(f**(-2\/25)\/f)))\/(f*f\/(f\/f**5*f)*f\/(f**(-1\/2)\/f)*f)**(-15\/8) assuming f is positive.\nAnswer: f**(19129\/1200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4161, -16634, -37423, -66528?\nAnswer: -103949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -0.2, -3, 61 in increasing order.\nAnswer: -5, -3, -0.2, 1, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3 - 2*k**2 + 3*k**3 + 12*k**2 - 10 - 4*k**3 + k. Let m be y(10). Let g(n) = -n**3 + 4*n**2 - 4*n. Let c be g(m). Do c and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -421\/8, 114, -2\/5?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 5. Solve -3*k = -4*z - 32, -3*z - 7 - m = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (4\/(-8))\/((-7)\/(-64092)*-3) and 1308.\nAnswer: 9156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/170542176 and -65\/19152?\nAnswer: 511626528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**2 + 10*p + 11. Let z(l) = -13*l**2 + 19*l + 23. Let s(n) = -5*g(n) + 3*z(n). Let k(i) = -3. Let j(t) = 12*k(t) + 3*s(t). Factor j(c).\nAnswer: -3*(c - 1)*(9*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -91 - 92 - 128*v**2 + 183 in the form z*v**2 + u*v + p and give z.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q + 1. Let l be (-2)\/7 - 2\/(-7). Let v be -18 + (-3)\/(-3) + l. Let o(a) = -2716*a + 2722*a - 1 + 4. Give v*m(p) + 6*o(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**4\/3 - 7313456*z**3\/3 + 3342914916496*z**2\/3 = 0.\nAnswer: 0, 914182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 13 = -2*m - w, -2*w = -3*m + 23. Let b be 0 + m\/1 + -2. Find the third derivative of z**5 - z**5 + 2*z**2 - z**b + 2*z**2 wrt z.\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3082 divided by -2.\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12 + 2\/31 + (-188)\/31. Let p be -2 + 1 - (-3)\/1. Put p, -5, m in descending order.\nAnswer: p, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6639 + 104?\nAnswer: -6535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30139938 is divided by 747?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4 + 8*c**3 + 4*c**2 - 8*c - 6 = 0. What is c?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p - 2. Let i be y(-2). Let m be (1 - i\/2)*1. What is the closest to m in 1, 2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2949\/5 - 8857\/15. Let a be (-19734)\/(-27) + (0 - -1). Let s = a + -731. Which is bigger: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 211\/49243950 and 41\/937980.\nAnswer: 98487900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 5082097 + 3*v**2 - 1592015 - 3*v**2 - 8*v**2 + 10*v**2 + 5284*v = 0.\nAnswer: -1321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((45\/63)\/(-5))\/(4\/(112\/(-4))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 5\/6, -8\/7, -2\/3 in descending order.\nAnswer: 5\/6, -2\/15, -2\/3, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2\/(q\/(q\/(q*q**(1\/2)))))\/(q**(-1)*q)**(2\/75))**(-8\/17) assuming q is positive.\nAnswer: q**(-4\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2030 + -24?\nAnswer: -2104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a85 + 8?\nAnswer: 8a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 - 23. Let i = -73 + w. Which is greater: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20, -133, -424, -977, -1876?\n\"Answer: -14*x**3 - 5*x**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053)*-1 - sqrt(78)\/(sqrt(6)*-3).\nAnswer: -26*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 22812?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6454 - -6474. Solve 8 = -m*g + 28 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (55\/297)\/(2\/(-12))\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9241 is divided by 57?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1149 + 4*b + 0*b**2 - 19*b**2 + 1144. Let u(j) = -39*j**2 + 9*j - 9. Let a(d) = -2*u(d) + 5*y(d). Find the second derivative of a(n) wrt n.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - 36. Let d be (-1 + 4)\/1*o. Solve -d*m - 20 = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-2))\/(1312\/220 + -6). Let m be (-3)\/(-18) + 1527\/18. Let u = w + m. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -3. Let r be 4\/5 - (-518)\/(-185). List the prime factors of -3 + (80\/l - r).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 11*v**2 + v + 11. Does 27 divide f(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (148\/(-814))\/(-2 - 97\/(-49)). Let m = 136737\/3344 + -4141\/76. Let w = m + n. What is the common denominator of -81\/26 and w?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3374 (base 8) in base 3?\nAnswer: 2110020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, w: 3, e: 1, u: 1}. What is prob of sequence errr?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15975 and 46412487.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 122394*k**3*x + 1176*k**2 - 4*x wrt k?\nAnswer: 734364*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 5*d - 32. Let h be j(4). Solve h*q + 4 + 28 = 4*s, 0 = 5*q - 2*s + 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q\/(q\/((q**(2\/3)\/q)\/q))))**(-12))**(-2\/19))**7)**(5\/13) assuming q is positive.\nAnswer: q**(1960\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3928*d = 539*d + 1847*d - 119966 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 212541776 divided by 4942832\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5 - b**3 + 4*b + 2*b + 5*b**2 + 0*b. Let l be (-4)\/18 + 112\/18. Does 2 divide p(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 2*n = -5508 + 5483, 5*t + 5*n + 25 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 9*q**2 - 15*q + 48. Let m be n(10). Let u be m - 0 - ((-336)\/(-30))\/(-7). Which is the third smallest value? (a) 3 (b) 5\/3 (c) u (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + 6*a**2 - a**2)*(-3 - 1 + 2) - a**2 - 5*a + 5*a + (-3*a + a + 3*a)*(-1 + 1 + a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trry when four letters picked without replacement from ttrrtttttrytrt.\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86348193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 157 and 404903?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 24. Solve 2*v - v - 4 = -3*g, 0 = s*v + 25 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**3 - 200*u**2 + 2500*u = 0?\nAnswer: 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13759 + -8204. List the prime factors of d.\nAnswer: 5, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/3)\/i)**31*(i**(1\/2))**(-13) assuming i is positive.\nAnswer: i**(-101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 892*i + 177. Suppose h = -0*h, -4*h - 7 = -g. Is f(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 2. Let d(n) = -n - 2. Let w(j) = -j - 2. Let s be w(3). Let p be (-3)\/s + 13\/(-5). Calculate p*q(i) - 3*d(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 370772 divided by 45\nAnswer: 370772\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - (-3 + 4 + 1). Let g be (0 + 4)*(-1)\/(-2). What is the second derivative of 3*k - 26*k**2 - g*k**t + 26*k**2 wrt k?\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -1\/24*u**4 + 0*u**3 + 23\/60*u**5 - u**2 + 0 + 0*u. Is r(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 493 - 18240\/37. Let r = y - -71\/111. Let b = 58\/15 + -11\/3. What is the smallest value in 5, r, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 8*l**4 + 3*l**3 - 2*l**2 - 2*l + 3. Let u(i) = -2*i**4 + i**3 - i**2 - i - 1. Let z(g) = n(g) - 2*u(g). Find the first derivative of z(x) wrt x.\nAnswer: 48*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 + -60. What is the units digit of (c - 0 - 190)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 1, 4, 2\/31, -9.9 in increasing order.\nAnswer: -9.9, 2\/31, 1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6539, 3, 7, -5, -8 in increasing order.\nAnswer: -8, -5, 1, 3, 7, 6539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -3238\/227?\nAnswer: -3238\/227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 3*l - 5*g - 2, -2*g - 5 = 3*l. Let r(v) = -68*v + 1. Is r(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(((-4)\/(-12))\/((-297)\/81))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6) + 2)*(-810)\/540?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 16*w**2 - 1\/20*w**6 + 0 + 0*w**3 + 0*w - 5\/4*w**5 + 13\/8*w**4. Factor h(z).\nAnswer: -3*z*(z + 13)*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -7. Let u be (2\/3)\/(3 + 16\/(-6)). What are the prime factors of u*(-2 - 45\/i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11451 is divided by 198?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 5*i, 18 = 4*u + 2*i - 0*i. Suppose 0 = 2*s - u*s + 3. Suppose -z = -1 - s. Solve -z*c + 9 = -4*q + c, 4*c + 19 = -5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -249816 less than -249816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 = 7*p - 12*p. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30 or -6158?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 117 + 4\/(-10)*141\/94*-5. Solve q*b = 105*b - 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.115 + -0.615. Sort -2\/9, y, 12\/7, 0.5 in decreasing order.\nAnswer: 12\/7, 0.5, -2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**3 + 5*o**2 - 3*o + 4. Let v(n) = 3*n - 18. Let h be v(5). Let l be q(h). Suppose 3*i - 5 = b + l, -4*b = -3*i. Solve 0*d - b = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2481*s = 113407 - 41458. Let r(j) = j + 55. Calculate the remainder when r(0) is divided by s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1328 or -1322?\nAnswer: -1328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.031\nAnswer: -0.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8*3*(-1)\/6. Suppose 3*d + 4 + 14 = 0. Put -2, f, d in decreasing order.\nAnswer: f, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.7 + -4.8. Let h = -30217 + 30215.47. Let m = b + h. Round m to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -2*u**2 - 4*u + 17\/3*u**3 + 5\/6*u**6 + 35\/4*u**4 + 23\/5*u**5 - 16. Factor x(m).\nAnswer: (m + 1)**3*(m + 2)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 487, 1468, 3105, 5398, 8347, 11952?\nAnswer: 16213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + h - j, 4*h = -2*j - 4. Let d(y) = -y**3 + 14. What is the lowest common multiple of d(0) and h + 6 - (-3)\/1?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 16.69. Let w = 0.266 + l. Let o = 1.764 + w. What is o rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-81) + (-4)\/(-6))\/((-49)\/(-42)*14)\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2221 and 0.8589?\nAnswer: -1907.6169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -0*t - 64. Let z be (-16)\/t*10\/(-4). What is the closest to 2 in 1\/2, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2391.\nAnswer: 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38.309 + 38.3090023669. What is b rounded to seven decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**3*o**2*t**2 + 3*b**3*o**2 - b**3*t - 6*b**2*t - b*o**2*t**2 wrt t.\nAnswer: 8*b**3*o**2 - 2*b*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4))**(-49)*(q**(-9)\/q)\/q**(-10) assuming q is positive.\nAnswer: q**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + (sqrt(28)\/sqrt(4))**2 + 0 + ((sqrt(700)*-2*-5 - sqrt(700))*-2)**2.\nAnswer: 226808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jubdddjddubjdju. What is prob of sequence jbdd?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 9*j**2 + 2*j + 2*j - 10*j**2 - 4 - 2*j**3 + j**3. What are the prime factors of t(-5)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -7*b + 6*b. Factor 1\/2*r**5 + 0*r**3 + r**b - r**2 - 1\/2*r + 0.\nAnswer: r*(r - 1)*(r + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmzmmzzmmzzmmmzm. Give prob of sequence zzz.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 121201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*r + 120 = 0, -f - 5*r - 5*r - 36 = 0. Let p(c) = c**2 - 20*c + 7. Give p(f).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5035, -4899, -4671, -4351?\n\"Answer: 46*s**2 - 2*s - 5079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -8. Suppose g*n = -5*n + 20. Suppose -p - 2*p - 4*k - 16 = 0, 0 = -n*p - 5*k - 20. Sort -1, p, 4 in ascending order.\nAnswer: -1, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/15394 and -59\/1818998.\nAnswer: 78216914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7 + 0*f - 13*f + 21*f**2 - 8*f**2 + 2*f. Let s(x) = -5 - 49*x**2 + 2 - 5*x - 40*x**2 + 95*x**2. Give 3*a(q) - 7*s(q).\nAnswer: -3*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 144\/(0 - -3) - 2. Suppose 2*k = 5*u - u + 46, -2*k + u + w = 0. What is the remainder when k is divided by (4\/3)\/(28\/126)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.15 times 4645?\nAnswer: -5341.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z + z**2 - 51 + 51. Let k(s) = -3*s**2 + 9*s. Calculate 9*f(w) + 2*k(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/100966 and -101\/238.\nAnswer: 12014954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3366433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, 22, -1, 5, 0 in descending order.\nAnswer: 22, 5, 0, -1, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*k - k. Let n be ((-6)\/(-9))\/(k\/6). Suppose 2*j**4 - n*j**3 + 0*j**3 + 0*j**4 + 3*j**3 - j**2 = 0. Calculate j.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 10*w + 11 = 4*x, 5*w = -2*x + 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/12 + 2\/(-8). Let w(o) = -2*o**2 + 0*o + 31 - 17*o - 34. Let a be w(-8). Put a, -1, j in increasing order.\nAnswer: j, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1140395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 316806*n**2 + 244*n + 82675881 wrt n.\nAnswer: 633612*n + 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j + 19125 + j - 38336 - j**3 + 19141.\nAnswer: -j**3 - 13*j - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and (-65)\/(-9) + 16\/(-72).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**0))\/(t*t**(-3\/7)))\/(t\/(t*t**(1\/9))*t**1*t))\/(t**(-3\/2)*t**7*t**(-2)\/(t*(t\/(t*t*t*t**(-2\/11)*t*t)*t)\/t*t)) assuming t is positive.\nAnswer: t**(-10781\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 60958320*5\nAnswer: 304791600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w\/w**(-2))**(2\/5)\/(w**(-3)\/(w\/(w\/(w\/(w*(w**(-3\/2)*w)\/w*w))*w))))\/(w**(-1\/9)\/(w*w*w\/(w\/w**(2\/9)))*w**(-2\/11)*w**4\/w) assuming w is positive.\nAnswer: w**(265\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1703\/2 or -852?\nAnswer: -852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 times -0.09385?\nAnswer: -21.67935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.848 - 0.642. Let i = b - -0.49. Put -3\/4, i, 0.1, 12 in descending order.\nAnswer: 12, 0.1, -3\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(17)*2 + 1)*-1.\nAnswer: -3*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 2*k**7\/105 + 2*k**5\/15 + 11*k**4\/8 - 5*k**3\/3 + 2*k**2 + 51*k. What is the second derivative of y(z) wrt z?\nAnswer: 48*z**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 100\/(-1) - (-4 - -2). Let b = t - -69. Let m = -17 - b. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76*m**2\/5 + 209812*m\/5 - 66264\/5.\nAnswer: 4*(m + 2761)*(19*m - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*f**2 - 15*f + 8 = 0. Calculate f.\nAnswer: 1, 8\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y**3 - 24*y - 3*y**3 + 10 + 2*y**2 - y**4 + 23*y - 9*y**3 in the form c*y**2 + j*y**3 + t + w*y**4 + a*y and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/104 + 19\/(-44)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*sqrt(68)*-1 - (sqrt(68) + 2 + sqrt(68) + -5)) + 5)**2.\nAnswer: -672*sqrt(17) + 9988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/3 - (-8)\/(-12). Find the common denominator of 56\/t - 2\/4 and (-1 - 1) + 83\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 40856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 - 33*k - 58*k + 116*k.\nAnswer: -4*k**2 + 25*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 35 = -5*z, -5*z + z - 10 = j. Sort j, -2\/9, -5 in increasing order.\nAnswer: j, -5, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*l - 5007 - 2145 = 0 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38545, -38549, -38551, -38551, -38549?\n\"Answer: g**2 - 7*g - 38539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s - 4*s - 4*s - 4*s. Let t(u) = -3*u. Let d(i) = 2*o(i) - 5*t(i). Let b(n) = 10*n. Let q(v) = -b(v) + 8*d(v). Let a(j) = 7*j. What is q(a(c))?\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i**2 - i**2 + 5*i**2 + 0*i**2 + i to n*i + j*i**2 + y and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -15*c. Let l = 77 - 78. What is i(l)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 8 + 9*n + 1 - 1 - n + (-n + 0*n + 3*n)*(-2 + 5 - 2) + 2*n + 2*n - n - 1 + 1 - 2*n + 3*n - 3*n - 4*n - 1 + 1 - 8*n as l*n + d and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 - (-34 - 3) - 109.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 217*j. Let f(k) = k**2. Calculate i(f(t)).\nAnswer: 217*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/((27\/6)\/((-27)\/36)))\/(104\/858).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 28 + j**2 - 302*j**2 - 23.\nAnswer: -301*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 12) + 40 - (7 + -2 - -2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 168 + -7. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = l + 2*c, 145 = 3*l + 4*c - 0*c. Let t = l + -28. Does 19 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 3268?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30747 - 92228 + 27*j**2 + 30737 + 30744 + j.\nAnswer: 27*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.2 (c) -5 (d) -0.056 (e) -96 (f) 0 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -232011 (base 4) to base 15\nAnswer: -d19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*n - 102 - 66, 3*g = 4*n + 166. Suppose -u = u - g. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**5 + 54*n**4 - 75*n**3 - 2910*n**2 - 2448*n + 5376 = 0. Calculate n.\nAnswer: -16, -8, -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 0)\/(-34 + 37). Suppose 3*y + 2 = 5. Let g = 6 - y. Solve n = -g*f + 14 - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**3 - 12*f**2 + 5*f. Let a be b(-6). Let o = -2809\/92 + 3\/92. What is the common denominator of (a\/75)\/((-20)\/975) and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 39, 67, 107, 159, 223?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6536 + -3562. What are the prime factors of j?\nAnswer: 2, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13496 + 13871. What is the lowest common multiple of w and 40?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29357 by 31.\nAnswer: -947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179, -412, -645?\nAnswer: -878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhwh when four letters picked without replacement from hrwwkwwkwkrhk.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -848, -1001, -1172, -1361?\nAnswer: -1568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152) + sqrt(152)*-1)*-3*-2*4)\/((3*sqrt(72)*2)\/(sqrt(99)\/sqrt(99))) + 5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.951 and -8.\nAnswer: -10.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*w + 48 = -2*w, -5*u + 2*w = 155. Let b = -64 - u. Let a = b - -78. List the prime factors of a.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*s - 90 = 42. Solve -s*i = 2 + 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 36*u**2. Let i(t) = -55*t**2 - 65*t. Let s(n) = 5*n**2 + 6*n. Let m(a) = -6*i(a) - 65*s(a). Calculate 15*m(k) - 2*p(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -183972.444 + 183122. Let y = o - -851. What is y rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30005 (base 11) to base 13\nAnswer: -16cc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, v: 7, k: 2, p: 3}. Give prob of picking 1 v and 3 p.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 6*l + 5. Let z be u(2). Let p be 1258\/442 - (-2)\/z. Solve p*b = -13 - 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.147 + -0.14886. Round g to four decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 11:53 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/6)\/((-130)\/(-390)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 24 + 18 - (1 - -8) - 10?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4 - (-172)\/20 - 5). Which is the closest to -2? (a) 0 (b) 3 (c) i (d) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 3:06 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 4*y - 9. Let b(j) = 3*j**2 + 3*j - 9. Let f(g) = 3*b(g) - 4*q(g). Give f(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 952*y - 976*y = -96. Solve 4 = 20*v - 19*v - 2*h, y*h + 8 = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5 = -2*a. What is the greatest common factor of 55 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 395 - -2?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, d: 6, p: 1}. What is prob of picking 1 p and 2 s?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven thirds of a century in months?\nAnswer: 30800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2222*1522\nAnswer: 338.1884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*b**4 - 11*b**4 - 3*b**4 - 8*b)*(-4 + 4 - 3)*((1 - 3 - 1)*(-1 - 2 + 4) + 5 + 4 + 3).\nAnswer: 27*b**4 + 216*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11823508?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3834102169.\nAnswer: 19, 71, 2842181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from ssssjssssssss.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 10) in base 12?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) -8\/9 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9566.803 millimeters in centimeters?\nAnswer: 956.6803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 5*m + 13 = 0, -416*m + 420*m = 14*v + 62 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14095501*c**2 - 14360895.\nAnswer: 28191002*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 8:17 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 529 in ascending order.\nAnswer: -4, 1, 529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 174 + -2612\/15. Let k = -8\/13 - -79\/65. Sort 4, k, o.\nAnswer: o, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25048, 24939, 24640, 24055, 23088?\nAnswer: 21643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 39*o - 1. Let d(y) = 20*y - 1. Give 3*c(v) - 7*d(v).\nAnswer: -23*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((-32 - (-2 + 1)) + 6 + -2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.22 + 2. Let f = w + 0.12. Which is the second biggest value? (a) 0 (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -36, -48, -56, -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2*z - 4 = 0, -3*a + 5*z = 2*z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2. Let s be o(0). Suppose j = -s*j - 5. Let y = 2 + -2.2. What is the closest to 0.1 in y, 3, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3117 - 726. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -923.2 - -923. Which is the smallest value? (a) 3 (b) -38 (c) w (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 39*g**2 - 43*g - 37. Let v be j(-40). Let f be 3 + (-329 - 3) - 3. Let w = v - f. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, a: 2, m: 5}. Give prob of picking 1 g and 1 a.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 2 + 0)*(1 + 2*j - 1) - 575*j + 1061*j - 549*j)*(-2*j + 6*j - 3*j) to the form c + g*j + b*j**2 and give b.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8\/14*((-191545)\/3915 - 2\/27)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f**2 - 274*f - 1735. What is m(73)?\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 19*l - 17*l - 508, 3*w + 2*l = 379. What are the prime factors of w?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 6*r + 69 + 7*r + 4*r + r. Let u be h(-4). Let v(x) = x**3 + 7*x**2 + 3*x + 10. What is v(u)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 5, 9, -2 in decreasing order.\nAnswer: 9, 7, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6816 and 88.\nAnswer: 74976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 39199 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 318950 + 345850. What is i rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15431 or 15434?\nAnswer: 15431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (143\/65)\/(0 + (-3)\/(-15)). Solve 4*t = i*t + 28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40 - (-26 + 93)) + 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**4 - 2*m**4 + 0*m**4)*(m - 2*m - 8*m) - 2*m**5 - 52*m + 20*m**2 + 52*m.\nAnswer: 16*m**5 + 20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 101225\/4049 + 0\/(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -896 or -887?\nAnswer: -887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 x, and 1 k when three letters picked without replacement from {t: 2, n: 3, x: 5, k: 1, w: 7}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/5357 - -16047\/42856. Which is the fourth smallest value? (a) 0.08 (b) j (c) -1 (d) -1\/3 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9907187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p**2 + 0*p)*(-2*p - 624*p**2 - 383*p**3 + 624*p**2).\nAnswer: -766*p**5 - 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/9 + 4\/(432\/(-642)) and 49\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2839181149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 5*c - 200 = 0. Let f = c - 27. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1 + 2*c**2 - 2*c**3 - c**2 + 3*c**3. Let b(h) = 2 + h - 5*h**3 + 128*h**2 - 137*h**2 + 0*h - 2*h**3. Let v(d) = b(d) + 6*o(d). Determine v(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*5*(-2 - (0 + -3)). Suppose -2*q + w = -7*q. Put 0.4, 4, -2, q in increasing order.\nAnswer: q, -2, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o = 60. Calculate the greatest common divisor of 75 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-42))\/((-3)\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -5d72?\nAnswer: -5d72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 225811992 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -23. Let h = t + 25. Do 3 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-3))\/(32\/(-9216)*-16)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 4:17 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 45*w + 7*w**4 - 3*w**2 - 8*w**3 + w**2 + 9*w**3 - 2*w**3 - 14*w**4 to the form o*w + z*w**4 + p + b*w**3 + s*w**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)*d*d**(-4)*d)**43\/(d\/d**(2\/11)*d**(1\/2)*(d\/d**(-2\/3))**(-46)) assuming d is positive.\nAnswer: d**(-3541\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1863490963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q - 8. Let f(k) = k + 3. Let u(g) = 8*f(g) + 3*v(g). Let c(l) be the second derivative of -139*l**3\/3 - 12216*l. Give c(u(x)).\nAnswer: -556*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, t: 2, l: 2, o: 11, d: 3}. Give prob of picking 2 t.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l**4 + 21*l - 24*l**3 - 3424 - 7*l**3 + 0*l - 2222 wrt l.\nAnswer: 4*l**3 - 93*l**2 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2566.7 - 2572.7. What is the biggest value in -5, 5, 0.05, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - h - 8. Let r be m(4). Solve r = -3*n - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i + 11*i + 2*i - 4*i - 5*i - 3*i**2 as l*i**2 + k + z*i and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*d - 8 = 0, 2*f + 4*d = 2*d - 8. Let g = -449\/372 + -4\/93. Let r = 2.6 - 0.6. What is the closest to f in -2\/5, r, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.97 - 2. Let j = n + -0.07. Let x = -0.2 + -0.2. What is the nearest to 0.1 in -3, x, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/((9\/1)\/(-54))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13520 divided by -10\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x**2 + 9*x**2 + 6*x**2)*(0*x + 5*x + 1 - 3*x).\nAnswer: 48*x**3 + 24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s + 5*s**3 + 3*s**2 - 3*s**3 + 0*s + 15675 - 15672. Determine a(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106*n**4 + n**3*w*x**2 + 6088*n**3*w*x + 33*n**2*w*x**2 + 2*n**2*x - n**2 - 545*n*w*x**2 - 2*n*x**2 wrt n.\nAnswer: 2544*n + 6*w*x**2 + 36528*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 381803\/616 - 4337\/7. Which is smaller: u or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 5. Let y be (0 + (2 - 0))*2. Sort x, -2\/7, y in descending order.\nAnswer: y, -2\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - m + 1 = -0*m, k - 5*m = 1. Let y(w) = -3 + 1 - k + 2*w - 1. Let s be y(4). Solve -s*r - 20 = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10239120 divided by 2047824.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130935, 1047454, 3535145, 8379594, 16366387?\nAnswer: 28281110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*i = -11413 - 60827. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 907823 and 49?\nAnswer: 907823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 50 + 66412?\nAnswer: 66462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3035282 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 33*j**3 + 38*j**2 - 35*j + 15. What is the units digit of d(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 161.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 5*m + 7. Let b be r(5). Suppose 5*n = b - 17, -412 = -s - 5*n. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 7*x**2 - 7*x - 4. Let h be g(-6). Let i = -16.2 + -2.8. Let m = i - -19. Which is the second biggest value? (a) -4 (b) m (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24242 (base 7) to base 8\nAnswer: -14236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08849389*26.\nAnswer: 2.30084114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -65, -237, -571, -1121, -1941?\nAnswer: -3085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, -3, -0.1, -0.2, 1\/44 in decreasing order.\nAnswer: 1\/44, -0.09, -0.1, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 - 2. Let a be o(-2). Let i be (1\/(-2))\/((-3)\/(-6)). Let q = a + i. Sort -4, q, -2.\nAnswer: -4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 u, and 1 p when three letters picked without replacement from huptut?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -190011 divided by 6.\nAnswer: -63337\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 969.778 - 972. Let w = o + -0.078. Let m = w - -0.46. Round m to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -783 divided by -7?\nAnswer: 783\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1421431 is divided by 1421403?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 7. Suppose 0 = -18*z + 16*z + h. Suppose n + 5*c = 64, -2*n = 2*n + z*c - 310. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 1 + 4. Let b(d) = -17*d**2 - d - 15. Let h(n) = -14*n**2 - 11. Let i(l) = 4*b(l) - 5*h(l). Determine i(y).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 167 - 499\/3. Let m(z) be the first derivative of -4 + g*z**3 + 0*z**2 + 0*z. Let i(b) = 5*b**2. Give i(m(d)).\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbiynyyinihi. What is prob of picking 1 h, 1 b, and 1 r?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -606*l + 1840 = -686*l. Which is the nearest to -1? (a) -4 (b) 16\/13 (c) l (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -78b?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + f = 153296, -3*f + 76643 = 23*g - 22*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.12 - 8. Let g = 0.28 + l. Let f = -14.8 + 15. What is the closest to 2\/7 in g, -1\/6, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 10, -2, -5 in descending order.\nAnswer: 10, 8, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 105*k + 0 + 215\/2*k**4 - 215\/2*k**2 - 205\/2*k**3 - 5\/2*k**5 = 0.\nAnswer: -1, 0, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + -3 - -3 - -3. Let n = -8898 + 8903. Solve w = -n + c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 - 64 = 0. Calculate the highest common factor of l and 455.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-199*h + 141*h - 383*h + 57*h)*(0*h + 2*h - h).\nAnswer: -384*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1467)\/11736*3\/(-2*3)*4)\/2\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (8 + (8 - (3 - -2)) - -53 - -4).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2996 (base 11) to base 5\nAnswer: -110411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72206485 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-31)\/(403\/(-78)) + (-9 - -2). Which is smaller: n or 28\/607?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -122, -2\/5, 0.1, -23, -3, -2.\nAnswer: -122, -23, -3, -2, -2\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.08 (b) -1\/2 (c) 70 (d) 4\/3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w. Let o(f) be the first derivative of f**2\/2 + 189. Calculate -6*o(q) - v(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.47 - -0.07. What is the second smallest value in 0.1, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -7*p**4\/12 + 5*p**3\/6 - p**2\/2 + 349*p + 1. Give a(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + n + 87 = 0, -2*z - 62 = 2*n - 6*n. Let q = z - -32. Calculate the common denominator of ((-82)\/(-8))\/(q\/2) and -137\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2989088482 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -27. Suppose -s - 3*s + z*k + 172 = 0, -3*k = 2*s - 106. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76 - 77. Let m = -1.69 + -0.31. Which is the closest to -1? (a) i (b) -9\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18816 = 9*y + 5*y - 19320 for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwbcbrvccr. What is prob of picking 1 w and 1 r?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -674*f + 670*f = 88 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107521634.2999883 + 107521628. Let c = -126 - -119.7. Let b = c - f. What is b rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -4\/449, -6, 3\/4, -3?\nAnswer: -4\/449","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*z + 5*z + 9*z + 16*z + 11*z.\nAnswer: 61*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 6. Let f = d + -23. Let m = f - -25. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8855800 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -14\/69, 2\/5, 1\/3, 0.1 in descending order.\nAnswer: 2\/5, 1\/3, 0.1, -14\/69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -5. Let g = 5 + i. Calculate the highest common factor of g and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 36355.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2014*l = 202*l + 7248 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/7 - (-28)\/7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p + 4. Let y be t(2). Solve 15 = -5*o, g - y = -4*o - 19 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 4*p, 5*p - 50 = -35 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 8. Let z be n(-4). Suppose -4*l = u - 20, -z*l + 75 = 3*u - 1. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5 = 3*q - 253, 4*q - 5*i = 344. What is the remainder when q is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36 and 2349.\nAnswer: -84564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 181 = -4*h - h, -25 = -5*h. Suppose -t*y + 34*y + 115 = 0. What is the highest common factor of y and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 48*k + 31*k + 17*k - k**2 + 9*k + 3*k**2 to q + o*k + c*k**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40049232?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u - 14*u + 69. Solve -m + 4*f - u = 0, -3*m + f + 9 = -2*f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 4*x**3 + x**2 - 3*x + 3. Let s(q) = -2*q + 1. Let l be s(-2). Is d(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**3 + 9452*g**2 + 56915*g - 139763. Determine l(2369).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18068688 to the nearest integer?\nAnswer: 4251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((3 - (-4 - -4)) + (-10 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8125767183?\nAnswer: 3, 19, 142557319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**3 + 0*j**3 - j**3 + 4*j**3 + 0*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5261396 and -0.16?\nAnswer: 5261396.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 + 60*j**2 - 33*j + 2676. Determine n(-31).\nAnswer: 1777","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 4*h**2 + 5*h + 5. Let s be d(5). Suppose -22 = -7*o + 4*o + s*c, o - 2 = -c. Solve z = -2*w - 6 - 3, -z + o*w + 3 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -752*n - 299609544 + 299609544.\nAnswer: -752*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.7959 + -494.\nAnswer: -496.7959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1677*o**3 - 1451*o**3 + 3220*o**3.\nAnswer: 92*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4821?\nAnswer: 3, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*m**2*y**5 + 15855065*m**2*y**3 + 2*m**2*y**2 + 11*m**2*y + 2*m**2 + 415366*m*y + 3*m - y**2 wrt y?\nAnswer: 480*m**2*y**2 + 95130390*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1410 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 67*s**3 - 335 + 2*s + 336.\nAnswer: 67*s**3 + 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 453789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(-6*q**3 + 0*q**3 + 4*q**3)*(0 + 0 + 3*q**2).\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -s - 6240. Let z = s + -3390. Round z to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-8\/11)\/z*z)**40 assuming z is positive.\nAnswer: z**(120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 6) to base 8\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, k: 3}. Give prob of picking 2 k and 2 m.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39619?\nAnswer: 39619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-8)*-6*(-4)\/30?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 429835 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: What is -2582 times 5?\nAnswer: -12910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 11*r**2 - 2*r + 27. Let j(n) = -3*n**2 + 55*n - 7. Let d be j(18). Give m(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -666, -3683, -9054, -16779, -26858, -39291, -54078?\nAnswer: -71219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) -17 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*f - 12771, 13*f - 11*f = 4*j + 5104. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*m + 3*b - 193 = 0, -376*m = 371*m + 377*m - 1127*m - 4*b + 19 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7644038418?\nAnswer: 2, 3, 141556267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 4 = 939*a - 944*a, 14 = -4*u - 2*u + a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + 0. Suppose -m + 34 + w = 0. Let h = m + -28. Calculate the greatest common factor of 70 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75 + 81. What is the smallest common multiple of 5 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 6:42 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 644420*y + 639737*y - 2 + 1 in the form w*y + f and give w.\nAnswer: -4683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13, 9, 69, 173, 327, 537, 809?\n\"Answer: d**3 + 13*d**2 - 24*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 2*h**2 - 9*h + 3. Let g be l(7). Suppose 5*x - g = 3*r, -2*x - 3*r = 2*r - 105. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69*h**4*l + 21421*h**2*l**2 - 24*h*l**2 - 2*h*l + 157*h + l**2 - 6*l wrt h.\nAnswer: -828*h**2*l + 42842*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbbbvvsb. Give prob of sequence vbs.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34163 times 52?\nAnswer: 1776476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15953034.\nAnswer: 2, 3, 31, 199, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 13*z + 2. Let w(t) = -8*t - 14*t + 20*t. Give s(w(a)).\nAnswer: -26*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 10*h + 26. Let j be q(-5). Sort j, 29, -1 in increasing order.\nAnswer: -1, j, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h - 6*h + 0*h**3 + 20*h**3 - 9*h - 12*h**3.\nAnswer: 8*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*u - 2*n - 186, 0 = -2*u + n + 189. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**3 - 4. Let h(p) be the first derivative of 7*p**4\/4 - 9*p + 26. Calculate -4*h(l) + 9*u(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 34, -2\/99, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27486.4861 rounded to the nearest ten?\nAnswer: 27490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 706746 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**6\/120 + 11*o**5\/60 - o**4\/3 - o**3 + o**2. List the prime factors of v(10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5.7 or -30\/263?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89930 by 529.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 62 - 200\/7*c - 20\/7*c**2 - 2\/21*c**3. Factor i(f).\nAnswer: -2*(f + 10)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*(-19372)\/(-8) - (-5)\/(-10).\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(1\/5))**(-2\/35))**(-37))**(-44) assuming b is positive.\nAnswer: b**(-3256\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/2))**(-1\/4)\/(d**8\/d*d\/(d**(-1\/2)\/d)))\/(d*d**(-5)*d**(1\/5))**(1\/22) assuming d is positive.\nAnswer: d**(-4159\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 135 + -216. Let d = -21 - p. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -2 (b) 0.01 (c) -2023 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14666827 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 4:05 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 15*l**3 - 7*l**2 + 5*l + 1. Is b(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 9 = 1. Let g be (1 - (-3)\/f)*2. Find the common denominator of -151\/18 and g*3\/(-6)*-47.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1264?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 29.6 times 11606\nAnswer: 343537.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-726)\/1815*(20\/6)\/2*-6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(3\/4))**(14\/5)\/(z**2*z**(-1\/8)\/z) assuming z is positive.\nAnswer: z**(161\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (1 - (-116)\/108). Which is smaller: q or 2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1520 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*5*95613\/(-145)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*t + 4*i = -248, 4*t + 2*i = -240. Let j = -32 - t. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpp when three letters picked without replacement from {p: 2, d: 18}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (2*(sqrt(119) - sqrt(119)*-1) + sqrt(119)))\/(sqrt(448)*2) + 3*(-5*(sqrt(425) + 0))**2*1.\nAnswer: -sqrt(17)\/4 + 31875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -9*r + 3. Let o(f) = 11*f - 3. Give -5*d(c) - 4*o(c).\nAnswer: c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -9 + 17 + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4 = 4*j + 20, -2*o - 2*j = 12. What is the remainder when 19 is divided by (420\/112)\/((-6)\/o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38932 - -33458. Is -5478 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h - 8 - 8*h - 4*h - h**2. Let b be 2 - ((-21)\/(-3) + 1). What is the units digit of s(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 9950 = -5*u, -2*u + u + 2014 = -5*m. List the prime factors of u.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1 - 1) + -1)\/(-5). Let f = -244.1 + 244. Which is the smallest value? (a) s (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3) + (81 - 129) - -17.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6)*r)\/r)\/(r\/(r*r**(-3\/5)))*(r\/(r\/((r\/(((r**(2\/5)\/r)\/r*r)\/r))\/r)))**(-15\/4) assuming r is positive.\nAnswer: r**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5121256663?\nAnswer: 251, 20403413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.909 - 1.8. Let q = -0.06 + s. What is q rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**4\/3 - m**2\/2 - 3*m + 2. Let d(o) be the first derivative of g(o). What is the derivative of d(p) wrt p?\nAnswer: -8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*n + 7*n + 11*n + 4*n + 0*n - n**2.\nAnswer: -n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -3, 356.\nAnswer: -3, 0, 1, 356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 46028661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/5*k**3 + 0*k + 0 + 2\/5*k**4 - 14\/5*k**2.\nAnswer: 2*k**2*(k - 7)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 11:27 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -335230064 by 1949012.\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7529 - -814b?\nAnswer: 13678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3245 and 209?\nAnswer: 61655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 121*b + 353. Calculate y(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 10*t = 670 - 220, 4*f - 2*t - 305 = -375 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 4*m - 6. Suppose -2*v = 2*c - 2, -m*v + 6 - 1 = -c. Let z(f) = 2*f**3 - 2*f**2 - f - 2. Let r be z(v). Solve -o = r*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/97))**(-38\/5)\/(p**25)**48)**(21\/5) assuming p is positive.\nAnswer: p**(-12301002\/2425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/11879633 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 - 2181\nAnswer: -2181.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -895\/8 + 112. Sort -1, 2\/9, p in increasing order.\nAnswer: -1, p, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19, -28, -47, -82, -139, -224, -343, -502?\n\"Answer: -v**3 + v**2 - 5*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*0.73.\nAnswer: -0.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10, m: 4}. Give prob of picking 4 h.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-3) + ((-189)\/(-3213))\/(6\/34). Factor -3\/4*t**2 + t - 1\/4*t**4 - t**g + 1.\nAnswer: -(t - 1)*(t + 1)*(t + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-6)\/(o*(o**6\/o*o)\/o*o)*((o*o*o\/(o\/o**(-1\/4)))\/o)**(-17) assuming o is positive.\nAnswer: o**(-103\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6238 = 5*k - 3907. List the prime factors of k.\nAnswer: 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33831929 to the power of 1\/2, to the nearest integer?\nAnswer: 5817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1727 is divided by 851?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006777466 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + (-1)\/(-2))*-10. Suppose 6*l = -3*x + 3*l + 9, 4 = 4*x + 2*l. Sort x, 0, m in ascending order.\nAnswer: x, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5912204 is divided by 5912002.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2520, -5169, -7806, -10431?\n\"Answer: 6*c**2 - 2667*c + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 8 + 24 = 3*z, 10 = z - 2*w. What is the lowest common multiple of z and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + 3)*((-24)\/(-3) + -1). Let s = d + 22\/3. Which is the second biggest value? (a) 35 (b) s (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 13505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 4.9, -28.7, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 1. Let a = -0.91 - -1. Let v = a + -2.09. What is the biggest value in h, v, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqqkddqdkqqqgggddq. What is prob of sequence kk?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*u + 438 = -74*u. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27705024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/304 and 111\/19760.\nAnswer: 19760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - -12) + (-2 - -8) - -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23755 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 30184748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (28\/24)\/((-42)\/(-24))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*s = 104, -4*j + 0*s = s - 163. Suppose -o + 17 + j = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.4 * 0.02\nAnswer: 0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p**3 + p**2 + 7*p + 7. Suppose 2*u - 11 = 35. Suppose -u*b + 24*b = 12. Calculate the smallest common multiple of a(-1) and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19870, 2, -11, 0 in increasing order.\nAnswer: -11, 0, 2, 19870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 5. Suppose -6 = -2*t + g, 2*t - 12 = -5*g + 18. Let k = -5 - t. Let n be u(k). Which is the nearest to 0.1? (a) 0.2 (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/6 + 2\/(-6). Suppose -5*q = s + 4, -2*q - m*s = -7*q + 8. Let v be (-1260)\/(-260) + (-3)\/((-117)\/6). Solve q*h = -5*h + v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/18 and -33\/22970.\nAnswer: 206730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 19 - 159 = 0. Let c = 6 - 4. Suppose -c*m = y + 3*y + q, 4*y - 4*m = -4. Is -5 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312\/(-48) - 8103\/(-333)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.98432532 to 1 dp.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64828 divided by -19.\nAnswer: 3412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 292*o**3*x**3 - 64*o**3*x**2 - o**3*x - 2*o*x**2 wrt x?\nAnswer: 1752*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/45 + 34\/(-30)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1632739?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -3997.86287.\nAnswer: -3993.86287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3975 divided by -3\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(1\/15))\/i*i)**(-2\/5)\/(i**(-2\/13)\/i)**49)**(-23) assuming i is positive.\nAnswer: i**(-1249337\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 2:35 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 6 - 11*a - 5*a to the form q*a + d and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8655 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -109a8 - 1310?\nAnswer: -120b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(189)\/(sqrt(7)*-1*-4) + 1.\nAnswer: 1 + 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85143*w - 195436*w - 617146*w - 182955*w.\nAnswer: -910394*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-6678)\/(-612) + 1197\/(-84) + (-65)\/(-20)\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2690 is divided by 99.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179.610971 - 1.\nAnswer: -180.610971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-149)\/(9685\/(-520)) - (-1 + -43).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27958789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -342\/2965 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/24? (a) -0.2 (b) -2 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2160 is divided by 505?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**2 + 3*q + 7. Is j(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 0 + 42*c + 0*c**4 - 19\/20*c**5 + 1\/2*c**2 + 1\/6*c**3. Find the second derivative of j(a) wrt a.\nAnswer: -114*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 9*x - 35 = -5*g, 0 = x + 5. Let w = -3 + 6. Solve b = w*s - 3*b + 8, 4*s + g = 4*b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3655\/(-86)*(-4)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.7 (b) -0.5 (c) -41 (d) 3\/4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 57\/2 of a second?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*r - 1. Suppose 2*c + 2 = -w, 0*w - 2*c = 2*w + 10. Let y be ((-10)\/w)\/(-5)*-4. Solve -r - y = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 + -63. Suppose z + 0 = 8*p. Suppose p*k - 53 = 85. Calculate the greatest common factor of k and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/5 (b) -2 (c) 3\/5 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27979885.\nAnswer: 5, 43, 181, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12*-43075\nAnswer: -516900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -697.771 + 698. Let v = 1.229 - j. Which is smaller: -0.2 or v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {a: 3, x: 15, j: 2}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5894 - -7476. What is the remainder when m is divided by 99?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66183730?\nAnswer: 2, 5, 1423, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21668 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**4\/72 - 5*n**3\/36 - n**2\/3 + 2*n - 39. Factor t(d).\nAnswer: -(d + 1)*(d + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*y - 2*k = -45, 3*k = -3*y + 27. Let u = y + -19. Put -3, 1, u in decreasing order.\nAnswer: 1, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -122\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35952 divided by -146.\nAnswer: -17976\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 0, -6*g - 2*u = -g + 40. Let l be 2\/(-4) + (-236)\/g. Suppose 0 = -c + 2*h - 3*h + 6, 0 = -4*c + h + l. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 5. Suppose 2*j = -3*b - j + 78, 3*j + f = b. Solve -3*p - b = 5*s, -2*s + 2*p = -3 + 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (5 - 9) - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*j - 5*v - 4, -4*v - 27 = -3*j. Suppose 0*z - j*z - 5*l + 20 = 0, z = -4*l + 4. What is the common denominator of 6\/z + (-1068)\/96 and 73\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -149.162 - -31290556.\nAnswer: 31290406.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -20476.684 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-6)\/66*11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 18 = 2*v. Let n be (-6)\/4 - 9*v\/(-12). Factor 3\/2*k - 1 + 1\/2*k**4 + 1\/2*k**2 - 3\/2*k**n.\nAnswer: (k - 2)*(k - 1)**2*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*d**2*k*p**3 + 69859*d**2*k*p**2 - d**2*p + 1351583*p**3 wrt k?\nAnswer: -6*d**2*p**3 + 69859*d**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -47*p**5\/60 - p**4\/24 - 4224*p**2. Determine r(1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*4\/(-32)*-4. Which is the nearest to 2? (a) 2 (b) 1\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + sqrt(78)\/sqrt(2)*-3 + sqrt(39) + sqrt(3159)*-3)\/(sqrt(288)\/(6*4*sqrt(6))).\nAnswer: -168*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 0*f**3 + 1\/2*f**2 - 3*f + 2\/3*f**4 + 1. Let g(x) be the first derivative of b(x). Find the first derivative of g(s) wrt s.\nAnswer: 16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -2. Sort 0.5, r, 12 in decreasing order.\nAnswer: 12, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 16 - -12) + (-3 - 0)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*c + 13 = 0, -1 + 0 = -c. What is the second derivative of -4*v**5 - v**5 + 0*v**5 - 4*v + v**l wrt v?\nAnswer: -80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -616228, -2464993, -5546270, -9860059, -15406360?\nAnswer: -22185173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9350425 to the power of 1\/2, to the nearest integer?\nAnswer: 3058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -277*s + 151. What is the remainder when y(-1) is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 6*v. Let w be l(6). Suppose 2*f + 2*r + 2 = w, -8*r + 2 = 2*f - 4*r. Calculate the remainder when 9 is divided by -1 - 2*(f + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**5 + 8637*h**4 + 34578*h**3 + 51882*h**2 + 34593*h + 8649 = 0. What is h?\nAnswer: -1, 2883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -46940 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 1. Let x be j(1). Suppose -a + 9 + 11 = x. Suppose -28 - a = -2*l. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) -2\/21 (c) -5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 6480?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - 13*34\/(-17).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.7 and 41.\nAnswer: -69.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 758, 1489, 2194, 2873, 3526, 4153?\nAnswer: 4754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 3*w**3 + 0*w**3 + 2*w**3)*(-4 + 4 - 5*w).\nAnswer: 5*w**4 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*k + 15, -14*k = 2*j - 9*k - 28. Suppose -23*m + 73312 = j*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1438 - -5?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 12:31 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 410003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/6)\/((-4)\/(-208)). Let r = 29 - g. Suppose f - 2*w + 2 - 4 = 0, r*w = 5*f + 25. Which is smaller: -9 or f?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443820493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -6. Let w = l + -7. Which is bigger: 1.3 or w?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5250 and 13734?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-3))**(1\/16) assuming f is positive.\nAnswer: f**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 93.56993882704 and -1.6.\nAnswer: 91.96993882704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 198*l*n**2 - 2242*l*n + 1349920*n**2 with respect to l.\nAnswer: 198*n**2 - 2242*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172344801?\nAnswer: 3, 19, 727, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3212483 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.02 - 26.43.\nAnswer: -28.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llbl when four letters picked without replacement from xxxxlxxlblllxxl.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 11*r**2 + 17*r + 53. Give l(-13).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2177 and 0.4.\nAnswer: 870.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1100 and -2*(47447\/22440 + -2)?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, h: 2, j: 2, m: 3, s: 1, y: 2}. Give prob of sequence yy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, f: 1, d: 10}. Give prob of picking 2 d and 1 e.\nAnswer: 27\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o + 12. Let w be c(-9). Let n = w + 37. Suppose -2*v - 4 = -n*v. Solve -3*f + v = -5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z = 48*z + 2*z + 65 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.8 + 12. Which is greater: u or -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 14) to base 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -697277\/1595 - -4371\/10. Calculate the common denominator of m and -59\/14.\nAnswer: 4466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3802 = -2*k, 14*k + 5697 = 3*a + 19*k. Suppose 14*h = -560 + a. What is the remainder when 475 is divided by h?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**1*j*j**(-4\/3)\/j)**4)**28 assuming j is positive.\nAnswer: j**(224\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = d + 66. What is the highest common factor of d and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9 + (-13 - 86))*-1. Which is the third biggest value? (a) -20 (b) p (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-15) + -1)*-5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1\/5*i**2 + 41*i = 0. Calculate i.\nAnswer: -205, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*m - 2*q - 2*q, 4*m + 2*q = 18. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(2\/18 - 0))\/(120\/90).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -0.6. Let l = 610 + -610.858. Let g = -0.042 + l. Which is the biggest value? (a) -4 (b) g (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41436450 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 447023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41153209 + 224.22.\nAnswer: -41152984.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1453*n**4*t - 19*n**2*t + 2*n**2 - 24*t wrt n.\nAnswer: 34872*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 7 - 13 = 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18560767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-15))\/(g*g*g\/(g*g**(1\/6))*g))**37 assuming g is positive.\nAnswer: g**(-3515\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5305.583 nanograms to kilograms.\nAnswer: 0.000000005305583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**5 - 26914827*i**3 + 28107*i**2 - 869*i + 2.\nAnswer: 60*i**2 - 161488962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 2*j - 1. Let t be c(-3). Suppose y = i - 58, 3*i - t*y = -6*y + 188. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38182567 + 1068*j - 38182567.\nAnswer: 1068*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000194 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -608? (a) 5 (b) 0.03 (c) 0.1 (d) -1\/34 (e) -1 (f) 17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-392*h - 1006 + 1006)*(-h + 4 - 4) - h**2 - 3*h**2 + 3*h**2 as o*h + c*h**2 + w and give c.\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 31*l**5\/60 + l**4\/4 + 7*l**3\/6 - 19*l**2. What is the units digit of f(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290704499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 86\/35 (b) 2\/5 (c) 6 (d) -0.3 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 - -121301322?\nAnswer: 121301220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*d**2*k**3 + 86*d**2*k**2 - d**2 + d*k**3 - 4*d*k + d + 5*k wrt k.\nAnswer: -78*d**2*k + 172*d**2 + 6*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h*h**2\/h)\/h)\/(h*h**(3\/10)))**(1\/5)*(h**(-1)*h)**(6\/17)\/(h\/(h\/(h\/h**(-2\/7))))**(-16\/9) assuming h is positive.\nAnswer: h**(919\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4732 and 3375268?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5 - 228*q**4 - 4464*q**3 - 11744*q**2 + 108000*q - 129600 = 0.\nAnswer: -90, -18, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14547466874 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 638338?\nAnswer: 638338.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 28 + 14 = 0. Let r = -26 + t. Suppose 19*b - r = 15*b. Solve -3*u - 8 = b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - 11220012?\nAnswer: -11212210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 + 40. Which is the nearest to 0.094? (a) -3 (b) 3\/4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4064 - 26?\nAnswer: -4112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11246)\/16 - 10\/5. Let l = w + 700. Calculate the common denominator of l and 1 + (0 - 15\/(-4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2082796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -8*w**3 - 3*w**2 - 67*w + 152. Give j(3).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v - 5*v + v + (-8 - 302*v + 8)*(-5 + 3 + 1).\nAnswer: 298*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + (-344)\/56)\/((-8)\/(-28))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5d (base 15) to base 7.\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 5*g - 3. Let f be c(5). Let x = 9 + f. Let t = 9 - -6. What is the greatest common divisor of x and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + f + f + (-f - f - f)*(3 + 0 - 2) - f + 19*f + 5*f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2 + (-9)\/6. Let s = -735 + 734.94. Let p = 0.142 + -0.042. What is the closest to p in d, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 37580706?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(120\/32) - (1 + 0). Let n(d) = 2*d**2 + 11. Let c(m) = m**2 + 11. Let z(l) = r*c(l) + 4*n(l). Differentiate z(y) wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3296 in 207, 4\/7, 3\/7, -3\/8?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g*j**2*t - 56*g - 46*j**2*t - j**2 wrt t.\nAnswer: g*j**2 - 46*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70\/(-140)*12394\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, l: 12}. Give prob of sequence uu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-18) - (-100)\/36. Suppose -2*p - 7 - 6 = 3*s, 3*p = -6. Suppose -3*j + 4*j = -2*j. Sort r, s, j.\nAnswer: s, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 divided by 313?\nAnswer: 163\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 722\/1084461 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 33*r + 21\/5*r**5 - 353\/24*r**4 - 5*r**2 + 49\/60*r**6 - 2 + 13*r**3. What is j in x(j) = 0?\nAnswer: -5, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose v + u - 79 = 0, 2*u + 35 = v - 59. Suppose 0 = 3*m + 6*m - 126. What is the greatest common factor of v and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, q: 2, f: 1, c: 2, a: 2, n: 1}. Give prob of picking 2 q, 1 a, and 1 f.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x\/(x*x**(-2\/3))))**(-44)*(x*x*x**(-1\/4)\/x*x)\/x*x**(4\/5))\/((x\/x**(2\/5)*x\/x**4)\/(x**1*x)**18) assuming x is positive.\nAnswer: x**(1517\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1943*y = -2413*y + 8460 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4131 bigger than 4131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 4*s**2 - 7*s**2)*(4*s**2 + 4*s**2 - 4*s**2).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*a - 2*a. Solve 5*d - 25 = -a*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56460\/(-15056))\/((-3)\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29085457, 29085456, 29085455, 29085454, 29085453, 29085452?\nAnswer: 29085451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16536 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.361932 micrometers to kilometers.\nAnswer: 0.000000009361932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d. Let t(q) be the second derivative of q**3\/2 + 14*q. Calculate t(s(x)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-267648)\/(-9792)*((-63)\/6)\/(-7).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5041.99994806 - -5042. What is u rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 + 89. Suppose -h*o - 7 + 57 = 0. Let f = 2 + -2.1. Which is the nearest to -1? (a) -1 (b) o (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 45 = -4*m, 8*m - 33 = 3*m + 4*k. Suppose 0 = -23*p + 24*p - 40. Suppose d - p = -m. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.14 - -11.86. Let o be (-16)\/6*3\/(-2). Suppose o*c + 5*a = 0, 5*a = -c - 0*a. Are w and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + 2*r**4 + r + (r + 2*r - 5*r)*(4*r - 4*r + 2*r**3) - 5*r**3 + 18*r**4 - 61*r**4 + 58*r**4 + r.\nAnswer: 13*r**4 - 5*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 263816 divided by -9422?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -184 (base 13) in base 9?\nAnswer: -337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 121*l + 639*l + 1123*l + 2979*l + 652 + 177*l wrt l.\nAnswer: 5039","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 38.7 and 6642\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7 equal to 624\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -9. Is (-4227)\/(-18) - (-2)\/o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 295*q. Let p(x) = -1325*x**2. Determine p(g(v)).\nAnswer: -115308125*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*sqrt(5) + 3)**2.\nAnswer: -60*sqrt(5) + 145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 945 + -435. Does 51 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 2:59 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**1)**(-3\/7))**(-15\/2))**37 assuming z is positive.\nAnswer: z**(1665\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*((3 - 0) + -3). Suppose j + 2*g = -t*j + 4, 5*g + 50 = 5*j. Suppose -8*v - j*v + 672 = 0. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-60)\/(-78))\/5 - 152\/(-26). Let x = 3 + 1. Solve n*w + x = 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -3*t - 18. Let y = 3 - -2. Solve -3 = 3*m + y*r + 8, 2*m - 5*r - t = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 47\/128837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p - 3*p - p + 4*p in the form z + x*p and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 1. Let b = -9 - 17. Let h = 101\/4 + b. What is the third smallest value in h, w, 2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -132*b**2 + 1716*b - 58. Give i(13).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1687 + -1682. Solve 15 = t - z*q, 9 = t - 2*q + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 25 (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 3.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3841732?\nAnswer: 2, 661, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -236.6155988 to two decimal places.\nAnswer: -236.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93 - (16 - (13 + -10)) - 13 - -19.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5, 34, 89, 176, 301?\n\"Answer: l**3 + 7*l**2 + l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -3. Put r, 0.5, -3 in increasing order.\nAnswer: -3, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*u + 4*h, -5*u - 2*h = 0. Suppose -3*d + u - 3 = 0. What is the smallest common multiple of 24 and 12 + (d - (-3 - 0))?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -14*k - 3. Let a(b) = -27*b - 5. Let j(h) = 4*a(h) - 7*y(h). Is j(-2) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383 is divided by 27.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1407 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: Let l(a) = a**3 - 11*a**2 + 21*a + 5. What is l(5)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -347355, -347354, -347353, -347352, -347351, -347350?\n\"Answer: q - 347356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 16\/(3 + -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/4*(-106)\/212*(-24)\/(-28)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 78\/(-175) - 2\/(-7). Suppose 23*d = 26*d - 27. Suppose -6*o - 3*o - d = 0. Is l at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -7. Suppose 0*l = -x*l + 5. What is the units digit of l*5\/1 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/450 and -59\/540.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2107583029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -23*l**3 - 135*l**2 - 20*l - 17. Let s(h) = -8*h**3 - 45*h**2 - 7*h - 6. Determine -17*s(q) + 6*u(q).\nAnswer: -2*q**3 - 45*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6518579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004931 to four dps.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from {z: 3, f: 7, u: 1, e: 6}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 + 13*w**2 + 16*w + 9. Is l(-13) a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*j + 532. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13141007 by -6.\nAnswer: -13141007\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -1, -2\/3927, 0.3, 1, -2 in decreasing order.\nAnswer: 1, 0.3, -2\/3927, -1, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/5)*y*y**(-9))\/(y**(-1\/5))**(9\/4))**(-10) assuming y is positive.\nAnswer: y**(155\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -4371, -1, -58, 2\/23, 3\/7?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105496510 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxpxxipxxcxxx. What is prob of picking 1 c and 1 x?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -158, -0.149, -2\/13, 0.049, 0 in descending order.\nAnswer: 0.049, 0, -0.149, -2\/13, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/3 + 268708*p\/3 - 985182 = 0. What is p?\nAnswer: 11, 134343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 13 = -3*g - 5, g = -2*w + 4. Solve 5*p = w*b + 25, 4*b - 7 + 22 = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -32305.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41557, 83427, 125601, 168073, 210837, 253887?\nAnswer: 297217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -21*m - 26*m - 4 - 25*m + 87*m - 19*m. Let j(n) = -n**2 + 9*n + 9. Determine -2*j(s) - 5*o(s).\nAnswer: 2*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/((-1)\/(-11)))\/(-1). Let q be (-2 - w)\/(15\/10). Solve q = 4*a + 2*d, -5*d = -4*a + 2*a + 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -15*(-1)\/5 + -8. Let q(n) = 4*n**2 + 3*n. Let p(w) = -9*w**2 - 5*w. What is o*q(v) - 3*p(v)?\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -112843 or -112840?\nAnswer: -112840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15739 - 2*m**2 - 953*m**3 - 7887 - 7851.\nAnswer: -953*m**3 - 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 7*u + 1. Let v be f(7). Let b be (-3)\/(1*(-2 + v)). Solve -6*j + j - 3*w = -10, 0 = b*j + 3*w - 12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*l - 39, -3*l + 1 = 10. What is the remainder when 134 is divided by b?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 16\/14 - (45 + -44).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a kilometer?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4676618 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 62047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 67288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 63?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-13)\/((-52)\/(-3126))*-22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 45*o + 356 = -44*o, 0 = -5*y + 3*o + 372. Solve -77*c - 10 = -y*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**6\/120 - f**5\/15 - f**4\/24 + 2*f**3\/3 - f**2. Let z be (-87)\/15 + 9 - 8\/(-10). Give p(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2110*q - 2085*q + 200 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 57, 119, 187, 261, 341?\n\"Answer: 3*r**2 + 53*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 921 divide 263090384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176963 is divided by 1376?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-2093)*-3*266\/57?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 5:07 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -b + 3, 0 = 3*b - 2*w - 7 - 2. Suppose 0 = -m + 4*m - 15. Suppose -b*l - 27 = -o - 0*o, -159 = -4*o - m*l. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -45. Suppose -j - 5 = 0, -2*c = 4*j - 1 + 11. Suppose 2*o - c*q + g = 0, -q = -o - 0 - 6. Which is greater: -2\/11 or o?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*y - 5\/6*y**2 + 1\/6*y**3 + 0 + 1\/3*y**4 = 0. What is y?\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/7))**0)**(-6)\/(((p*p\/(p**6\/p))\/(p*p*(p\/(p\/(p*p**(2\/9))))\/p))\/((p*p**(1\/9))\/p*p*p**(-1\/3))) assuming p is positive.\nAnswer: p**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -455655*h*p - 14*h - 29*p + 533211 wrt p.\nAnswer: -455655*h - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 213*q + 235. Let z(t) = 107*t + 117. Let c(l) = -2*d(l) + 5*z(l). Differentiate c(w) wrt w.\nAnswer: 109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 7*u + 129. Suppose -v - 4*n + 113 = -9*n, 0 = -v - u*n + 81. Does 19 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) 0 (c) -1 (d) 1.2 (e) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/(-8)*122*-1 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 2041?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 6:54 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2*y + y)*(-1 + 0 + 2) + y - 2*y + 0*y + 0*y + 2*y + 0*y + (83*y - 101*y - 134*y)*(2 + 9 + 7).\nAnswer: -2737*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 99*h**4 - 95*h**4 + 166*h**4 + 113*h**4 + 257*h**2 wrt h?\nAnswer: 6792*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 - 4. Let z(y) = 2*y**2 - 5. Let a(t) = 5*s(t) - 4*z(t). Let n(w) = w. Give a(n(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h + 16. Let q(s) = s**2 - 11*s + 41. Let o be q(6). Determine j(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -696, 1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.2, -81, -11, 1\/8, 2\/23, 0, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 divided by -68?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.01, 1, -6, 2\/59?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((2 + 6*(-4 + sqrt(1008) + -1))*4*4)**2.\nAnswer: -1032192*sqrt(7) + 9490434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14125*i = -14126*i - 50*w + 995, -i - 4*w + 75 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3360 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -143 and 118325923.\nAnswer: 118325780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-18)*360\/160. Is -13\/393 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18346 + 603.\nAnswer: 18949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3340 + 10?\nAnswer: -3330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*j - 45, -4*j - v = 4*v + 65. Let b be j\/(-4) - 36\/24. Suppose 2*c + 2*c = 20. What is the greatest common divisor of b and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*p - 5, 4 = -5*p - 6. Which is the smallest value? (a) 2 (b) 1\/6 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81890 rounded to the nearest 1000?\nAnswer: 82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 9:39 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**5\/20 + 7*p**4\/12 - 7*p**3\/6 - p**2 + 2*p - 3499. Let y(b) = -b. Let v be y(-5). What is i(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 6:29 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 73138538519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1368454 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -521041 (base 10) in base 15?\nAnswer: -a45b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4670 a factor of 279578890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - 38. Let u = 141 + t. 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: Calculate ((-40)\/10)\/(356\/(-1157)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1448498 or 1448492?\nAnswer: 1448492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(288) + sqrt(288) + sqrt(288) + -5)*-2 - sqrt(288)) + 3 + 1 + 0 + 0.\nAnswer: -84*sqrt(2) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**4 - 116*d**2 + 5*d - 2.\nAnswer: 36*d**2 - 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 - 43. Suppose s*m = 29*m - 12. Suppose -m*j + d + 69 = -2*d, 0 = -4*j + 4*d + 68. Solve 3*h + 2*z + z - 9 = 0, 2*h - 4*z - j = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/420 and (-5 + 159\/35)\/(39\/(-52))?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-3*-2*sqrt(95) - (-3*(sqrt(95) - 1*sqrt(95)) - sqrt(95)))*-4)\/(6*(sqrt(80) - sqrt(5)) + (sqrt(720)*-2 - sqrt(720))).\nAnswer: -1 + 14*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a - 17*a + 18. Sort a, -1, -3\/2, 0 in descending order.\nAnswer: a, 0, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499*j + 0 + 0 - 504*j + 8*j**2 + 1000*j.\nAnswer: 8*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -224 + 130. Let a = 93.999787 + o. Round a to five decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2550*v - 2552*v + 3 = 0, -3*v = -6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**2. Suppose -4*q - 5*t + 18 = 0, -t = 4*q - 3*t - 4. Suppose -5*m = -12 + q. Let u(a) = -4 + 4 + m*a. What is n(u(s))?\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -93, -129, -199, -315, -489, -733, -1059?\nAnswer: -1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-25)\/(-2)*16\/(-20). Let t(l) = l + 1. Let k(h) = -8*h - 10. What is p*t(r) - k(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + -2 + sqrt(91)\/sqrt(63) - (1*(sqrt(156)*-1 + sqrt(156) - sqrt(156)))\/(5*sqrt(12)*-2).\nAnswer: -2 + 337*sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/14 - ((-876096)\/182)\/96.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -484.35 and 2?\nAnswer: 486.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (5321 - 4678 + 13627 + 10187)*(t - 4 + 2 + 1) as c*t + j and give c.\nAnswer: 24457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32230 + -22040002?\nAnswer: -22122232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105 - 103. Calculate the highest common divisor of f and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**2 + 0 - w**3 + 0*w + 0*w**4 - 1\/15*w**5. Find the first derivative of p(r) wrt r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -309*y**4 - 41*y - 14827 wrt y?\nAnswer: -1236*y**3 - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -7*n**6\/120 + n**3 - n**2. Let v(k) = -8*k**3 + 6. Let d(w) = -589*w + 111915. Let z be d(190). Give z*v(y) - 6*c(y).\nAnswer: 2*y**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155 and 1610605?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/18*3\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 288.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 4*i + 1. Suppose -2*t - y + 14 = -2*y, -3*y = 12. Let r be g(t). Sort -11, 3, r.\nAnswer: -11, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10324232.1 rounded to the nearest 10000?\nAnswer: -10320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**2 + 3*w + 18900008. Let r(c) = -3*c**2 - 2*c - 12600005. Let j(y) = -5*o(y) - 8*r(y). Let n be j(0). Round n to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*5\/(-10))\/(-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/1 + -124 + 0. Let w = q + 185. Calculate the remainder when w is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 9:22 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 350\/56*16\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 8743 to the nearest one hundred.\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 974.5087t in kilograms?\nAnswer: 974508.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w + 2883 - 1107. Let l = -17 - w. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19688341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186130294?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 0*q + 0*q**3 - 1\/42*q**5 - 1\/735*q**7 + 6*q**2 + 1\/42*q**4 + 0 + 1\/105*q**6. Solve h(t) = 0 for t.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 47233\/28530 - (-2)\/(-36). Let m be (-6)\/(-9) - (-58)\/(-30). Let r = -3\/5 - m. Which is smaller: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -217 + 2385\/11. Let z = 0.05 - -0.05. Let p = 0.1 - 0. Which is the nearest to p? (a) 4 (b) z (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 24*t - 17. Let q(d) = -d**2 - 15*d + 17. Let z(b) = -3*i(b) - 4*q(b). Give z(15).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -3*u**5\/35 + 39*u**4\/7 - 366*u**3\/7 - 12090*u**2\/7 - 72075*u\/7 + 178. Find j such that y(j) = 0.\nAnswer: -5, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*n - n + 261 = 0 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59906, -119810, -179714, -239618, -299522, -359426?\nAnswer: -419330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 561 + -544. Which is smaller: k or 210\/13?\nAnswer: 210\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -198997.231812 and 2.5.\nAnswer: -198994.731812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 0*r**4 + 7\/3*r**3 + 0*r**5 + 0 + 3*r - 5\/6*r**6 + 0*r**2. Find the second derivative of s(w) wrt w.\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s + 2 = 0, 46 = 4*z - s. Suppose 4*k + z = 2*k. Is 0 + 51 - k\/(-2) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -129\/7569080 and -53\/374.\nAnswer: 83259880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000472824872 to 7 decimal places.\nAnswer: -0.0004728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 0)*(-5*j**3 + 16*j**3 - 4*j**3)*(12*j**2 + 0*j**2 + 3*j**2).\nAnswer: -315*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**8\/420 - 5*m**4\/24 - m**3\/6 + 5*m. Let z(t) be the second derivative of s(t). What is the first derivative of z(q) wrt q?\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -799*t + 553*t + 764*t.\nAnswer: 518*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 18 = -4*n, -n + 56*d - 54*d + 9 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37687 to the power of 1\/2, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(42\/7)\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1053149)\/316)\/((-1)\/(-4)). Round i to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661 a factor of 6210756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 10*m**2 - 2*m - 10. Let q be i(-10). Calculate the highest common divisor of 25 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -943 + 935 = -8*l. Suppose -4*m + 7*m = 0. Suppose m = -c + 5 + 8. What is the least common multiple of c and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -25*b + 5. Let u be o(-1). Let k(v) = -3*v**2 - 59 + 31 + 0*v**2 - v + u. Determine k(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = -31*z + 61 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 1948 - 16 = 0. Suppose u = 12*o - 278. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-9) - 11\/(-3). Suppose h*r - 10 = r. What is the second derivative of 4*t**5 - t - t - 3*t**r wrt t?\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*g**3*n**2 - 2174*g**3 - 2*g**2*n**2 - 3*g**2 - 1177*g*n**2 + 2*n**2 - 16*n wrt g.\nAnswer: -48*n**2 - 13044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*h**4*l - 310*h**3 - 15*h**2*l - 2*h*l - 97*h wrt h?\nAnswer: -744*h*l - 1860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 - 0.72319\nAnswer: -0.77319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 11. Suppose -w*k + 139 - 22 = 0. Suppose -1 = -5*p + k. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 + 12*w + 2. Let q be b(-6). Let n(h) = 4*h**q - 4*h + h**3 + 5*h - 13*h**2 - 6*h. What are the prime factors of n(10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7950347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/3 - 127276*d**2\/3 - 676025224*d - 33695281200 = 0. Calculate d.\nAnswer: -31794, -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o**(1\/2)))**(-2\/17))**44 assuming o is positive.\nAnswer: o**(-44\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 10) in base 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -2122020?\nAnswer: -2122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from dzdzzdzdzzdddzdzzddz?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4\/4 + 69*s**3\/4 - 42*s**2 - 735*s.\nAnswer: -3*s*(s - 14)**2*(s + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000639 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 474*o = 470*o - 5*l - 152015, 4*l - 113988 = 3*o. What is o rounded to the nearest 1000?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/18 + (-46)\/(-207). Suppose f = -3*r + 7*r - 3260. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2031745\/4 + 503126. Let n = h - -514694\/107. Let z = 2741\/2568 + n. Find the common denominator of z and 101\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 3 + (-10)\/(-5). Let h = -14 + u. List the prime factors of (-3)\/(6\/h + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 602669009 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fc when two letters picked without replacement from rcchf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220012 + -112?\nAnswer: 212200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13191*j**3*m - 7*j**3 - 4358*j wrt m?\nAnswer: 13191*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.79 + 0.79. Which is the second smallest value? (a) g (b) -1\/2 (c) -0.3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27395*u**4 - 739695*u**3 - 6657795*u**2 - 19978245*u - 21870.\nAnswer: -5*(u + 9)**3*(5479*u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h**2 + h - 4. Let p(x) = -21*x**3 - 6*x**2 - x - 6. Let b(d) = -p(d) + u(d). Determine b(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 54*d**2 + 501*d - 15. Give t(-12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*v**3 + 12259*v - 12259*v - 7 in the form k*v**2 + g*v**3 + j + s*v and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (-2 - -2)\/(-2). Let l be (-1)\/b - (-30)\/8. Suppose i = -3*r + 51, -179 = -5*i + 8*r - l*r. Solve 4*c - i = 5*a + 1, 4*c = -3*a + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17577 and 30.\nAnswer: 175770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -121 - -124 - (1 - -18)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 10:31 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -59322.\nAnswer: 59322.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3. Let q(r) = -59*r - 67. Let c(v) = 6*m(v) + q(v). Is c(-3) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5 + sqrt(45))**2 + sqrt(5) + ((sqrt(10)\/sqrt(2) - sqrt(5))*-2 - sqrt(5) - (2*(sqrt(5) + -1) - sqrt(5)))**2.\nAnswer: 23*sqrt(5) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -261*w**3 + 534*w**3 + 323*w**3 + 725*w**2 wrt w?\nAnswer: 3576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -196.3173 - -0.5.\nAnswer: -195.8173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 14054868?\nAnswer: 56219472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -16442255 (base 8) in base 9?\nAnswer: -7160205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 m when four letters picked without replacement from {m: 3, x: 3, t: 1, k: 1, g: 2, r: 2}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -179.24, 68, -1\/2, 4 in increasing order.\nAnswer: -179.24, -5, -1\/2, 4, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -42, -84, -128, -174, -222, -272, -324?\n\"Answer: -r**2 - 39*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p - 125 + 6*p + 254 - 130.\nAnswer: -6*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xyp when three letters picked without replacement from pixxxyi?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2499 and 2154579?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 426 - 428. Let o(n) = 19*n - 2. What is o(b)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/8 and (265\/450)\/(8\/20).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1109646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 5. Suppose -5*q = -q + 12. Let o be ((-4)\/(-3))\/((-1)\/q). Solve -3*p - 3*n = -o*p + 9, -z*n = -2*p + 14 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p + 1 - 1 + p - 5*p + 5*p + (5 - 4 - 3)*(-4*p + 3*p - p).\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 225.974km to millimeters.\nAnswer: 225974000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -261 divided by 9?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 4:35 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1194*x + 902 - 13162 = 62962 for x.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyzzyz. What is prob of sequence zzz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 111018199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 92?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7532 to two dps.\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 + -43.5. Let v = -12 + n. What is v rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -15722852*z + 591997. Let i(p) = 3665*p - 138. Give 25739*i(u) + 6*m(u).\nAnswer: -3677*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a century?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 100 + 0*q + 3*q - q.\nAnswer: q + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oiiniookkokniknniik. Give prob of sequence ni.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/4 (b) 1\/4 (c) 11 (d) 2 (e) -5 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -t + 842. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o. Let t(u) be the first derivative of -13*u**6\/360 + 2*u**3 - 22. Let k(n) be the third derivative of t(n). Give l(k(z)).\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 6*i**2 + 5*i + 3. Let l be u(-3). Suppose -3*s + l = -9. Calculate the common denominator of (-146)\/s - (-6)\/2 and 11\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 5*y + 2, 2*g + 0*g + 16 = -4*y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 divided by -70?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*w**2 - 452*w wrt w.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8 - 1. Let v = 0.14274 + 2.85726. What is the closest to 0 in 2\/7, v, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*b = -41914 + 20004 for b.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f. Let s(g) = -30*g + 23*g + 28*g - 1. Give s(v(p)).\nAnswer: -42*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*r = -10, -r + 1 = -k - 1. Suppose -q = -2*v + 7*v + k, -5 = v - q. Let x be v - -1 - (-23)\/1. Which is smaller: 3 or x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1086143 + 658974. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 12*n**2 - 4. Let w(y) = -2*y**2 + 28. Let z(t) = -t**2 + 16. Let v(a) = -4*w(a) + 7*z(a). Determine f(v(g)).\nAnswer: 12*g**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-2)\/(-8)*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(1\/10)*h*h)\/(h**(1\/25)\/h))\/((h\/h**(1\/6))\/h)**(-20\/3) assuming h is positive.\nAnswer: h**(1237\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, g: 5, o: 1, t: 3, q: 2}. Give prob of sequence qgkt.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/7 (b) -62.62 (c) 0.9 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 696, -2, 1, -157, -33 in descending order.\nAnswer: 696, 1, -2, -33, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.02, -0.1, -0.5, -2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**2 + 23*q\/3 + 58\/3 = 0 for q.\nAnswer: -2, 29\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5*f + 137 = -673, f = 3*v - 490. Let o = -145 + v. What is the greatest common divisor of o and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156148 a multiple of 593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31\/(186\/68))\/(366\/(-549)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**3 + 3*c**3 - 5*c**3 + (-2*c + 2*c + 2*c)*(5*c - 5*c + 2*c**2) - 3557*c**3 - 4421*c**3 + 9062*c**3.\nAnswer: 1086*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22919391 to the nearest integer?\nAnswer: 4787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 12:58 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**2 - 7*o - 10. Let h be (-2 + -2)*(-2)\/(6\/(-3)). What is the tens digit of t(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/123 + -67\/82. What is the smallest value in 1, 0, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 - (-3 - (-2 - 0)). Let x(l) = 0 + l**3 + b*l + 5 - 9*l**2 - 7. What is the units digit of x(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(875) - (sqrt(875) + -4*sqrt(875)*-2 + sqrt(875)) - sqrt(875)) + sqrt(875))\/((sqrt(847) - sqrt(847)*2)*-5))**2.\nAnswer: 6480\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*h**3*i**2 + 302*h**3*i + 2*h**2*i**2 + 3340*h**2*i + 356224*i**2 wrt i?\nAnswer: -24*h**3 + 4*h**2 + 712448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (-58)\/(-11) + (9\/11)\/(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s - 15. Let z = 64 - 74. What is the smallest common multiple of o(z) and (-1)\/((7\/((-140)\/(-8)))\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*d + 4*b, 3*b = 2*d - 2. Sort 1, d, 7, 3 in decreasing order.\nAnswer: 7, d, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2\/3 - 9660280*i + 69990757258800 = 0. What is i?\nAnswer: 14490420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 j when three letters picked without replacement from csmmjjjjn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21436 - -30356. Let a = d - 51815.009. Let f = -23.2 - a. What is f rounded to two dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 4)*(-3*t + 6*t + 5*t) + (0*t + 5*t - 8*t)*(3 - 3 - 1).\nAnswer: 43*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1077 times 0.017128\nAnswer: -18.446856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1123*j - 554*j - 563*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from cifccccffcifiivcccc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-33))\/(((-2)\/(-5))\/((-11970)\/(-3325)))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9349092, 9349091, 9349090, 9349089?\n\"Answer: -y + 9349093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(51)\/sqrt(3))**2 + 3.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 8. Let m be (1 - 6\/(-9))*12. What is the highest common factor of r and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1264 is divided by 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*y**5 + 39*y**4 + 48*y**3 - 81*y**2 - 60*y + 12 = 0. Calculate y.\nAnswer: -1, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 4\/5*p**3 + 0 - 24*p - 1\/15*p**4 - 16\/5*p**2. Factor k(j).\nAnswer: -4*(j - 4)*(j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 + 10*a + 16. What is t(12)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3877 is divided by 57.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10466 (base 8) to base 2\nAnswer: -1000100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*t - 2 + 2 + (2*t - t - 2*t)*(3 + 2 - 4).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4801358a - -3?\nAnswer: 48013590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12637401*w**2 + 2933166*w + 1 wrt w.\nAnswer: -25274802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 45 (b) 0 (c) 0.2 (d) -8 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/600 and 181\/76234020.\nAnswer: 762340200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 477615636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, n: 1, s: 4}. What is prob of sequence mnss?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*k**2 + 99*k**3 - 245*k**3 + 50*k**2 - 192*k**3.\nAnswer: -338*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - (16 - 44) - (37 - -24)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/4*l + 9\/2*l**2 + 3*l**4 - 27\/4*l**3.\nAnswer: 3*l*(l - 1)**2*(4*l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*4\/21*1332\/16095*29?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 2\/11, 22, 3, -2\/7?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 2. Let h(t) = 10*t**2 - 60*t - 100. Let z(s) = h(s) + 50*j(s). What is the units digit of z(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - -1) + (61 - (-83 - -140))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -9 - (21 - -34 - 60) - 69\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -83536\nAnswer: 8353.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089555461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5139 + 5143. Solve -q*i = -3*c - 15, 3*c = -5*i - c - 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.636417nm in centimeters?\nAnswer: 0.0000007636417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/51)\/(50\/5 - 9)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27512 + 42351. What is the highest common divisor of k and 284?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 8. Let y = 15.3 - q. Which is the third biggest value? (a) 0 (b) -2\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 4*b - 367 + 440, 5*d - 61 = -4*b + 18 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 1. Suppose -5*j - 27 = 3*o, -o = 5*j - 2 + 1. Let g = 10 + o. Let f be m(g). Solve 6*i - v - f = i, -v = -3*i + 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -272 - -284. Solve 4*d + 4 = r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24108234 is divided by 87?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d - 1. Let w(m) = m. Determine -n(u) + 4*w(u).\nAnswer: 8*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 104 - 24. Let k = 13\/2 - u. What is the common denominator of 7\/20 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62700 to the nearest one thousand.\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*g**4 + g**4 + g**4 + 0 + 2 wrt g.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2166.5 and -0.5.\nAnswer: 2166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000397112 rounded to 7 dps?\nAnswer: 0.0000397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 3*o**2 - 42. Let s(c) = -8*c + 24. Let j(k) = 24*k - 80. Let y(n) = -3*j(n) - 10*s(n). Calculate y(z(x)).\nAnswer: 48*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k - 3. Let g be m(-6). Let u = 19 - g. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -9*l**2 + 7*l - 5. Calculate i(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-96))\/(4\/(-12)). Which is the third smallest value? (a) -2\/9 (b) -0.06 (c) j (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**3 + 1. Let l(b) = 3*b + 0*b - 2*b - 2*b. Give l(v(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w + 6. What is the remainder when 365 is divided by v(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - z - 9. Suppose -2*i = 3*q - 8*q - 14, -z*q - 4 = i. Suppose -14 - 4*d + 8*d - 4*d**3 + 2 + 12*d**i = 0. What is d?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210\/560*84\/(-945)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z + 38. Suppose -2*m = 2, -3*n = -0*n + 3*m - 6. Let x be h(n). Determine q, given that -64 - 7*q**2 - 19*q - x*q - 80 + 3*q**2 = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 3*y**2 + 3*y. Let b be g(-2). Suppose -8 = -2*d - 2*f + 10, -5*d + 5*f + 25 = 0. What is the second smallest value in -0.5, b, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 3. Let l be 9\/s*(-8)\/3. Let i be (-2)\/(-9) + (-48)\/(-27). Solve 4 = l*p + 2*o, -i*p + 5*o = -p - 23 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 850187203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -615595 divided by -2\nAnswer: 615595\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -14244*a - 214172. Give y(-15).\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - w - 12. Suppose 6 = c + w. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -305 + 167. Let p = z - -219. Is p <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 95 = 11*z. Solve 0 = z*a + 9 - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -28*y**2 + 1. Let m be r(-1). Let k be ((-897)\/(-195))\/((-3)\/15). Let t = k - m. Solve 0*x = 2*x - h - 3, 4 = -t*h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-46)\/4)\/(1*(-2)\/4). Let v(n) = -n**2 + 25*n - 27. What is the remainder when v(s) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 3*y - 748 = 0. Suppose -82*l + y*l = -8134. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35717, 142774, 321205, 571010, 892189, 1284742, 1748669?\nAnswer: 2283970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2. Let v(r) = 7*r**2 + r - 3. Calculate -6*c(f) - 2*v(f).\nAnswer: -2*f**2 - 2*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1602 + 29*x + 3477 - 57*x + 20*x + 6*x.\nAnswer: -2*x + 5079","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from {g: 2, f: 1, v: 2, e: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324784 is divided by 110?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1724*r**2. Let v(z) = z**2. Give y(v(q)).\nAnswer: 1724*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100010001101000111100 (base 2) to base 15.\nAnswer: 17216d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1))**41*(r*(r**6*r)\/r)\/((r*(r\/(r*r\/r**(-2\/9)))\/r)\/r*r) assuming r is positive.\nAnswer: r**(-295\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010918927 to 5 dps.\nAnswer: 0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8982, -17955, -26866, -35685, -44382, -52927?\n\"Answer: 5*i**3 + i**2 - 9011*i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + v**2 - v. Let w(g) = 5*g**3 + 6*g**2 + 16*g - 21. Let i(t) = -6*f(t) + w(t). What is the first derivative of i(y) wrt y?\nAnswer: -3*y**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 3)*(0 + 5*j**4 + 0) + 77*j**3 - 77*j**3 + 4*j**4 in the form v*j + o*j**2 + t + z*j**4 + n*j**3 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195 = 145*a + 50 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8566 + -8558. Let p = 59 - 62. Let q = -18\/19 + 181\/171. Which is the third biggest value? (a) p (b) u (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*p + 156 = -149*p - 4*q, 529 = 4*p + 3*q. What is the remainder when 2583 is divided by p?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18*(-1)\/3*-1. Let p(d) = d**2 - 5*d - 2. Let b be p(m). Suppose b*y - y - 6 = 0. Solve y*f = 6*f + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -17, -3, -38 in decreasing order.\nAnswer: -3, -17, -28, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-1)*(-2 - 1). Let v = n + 0. Solve 0 = -4*k + v*h + 11, k = -5*h - 1 - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.8918085 and 3.\nAnswer: -8.6754255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34.79913 - -6.4.\nAnswer: -28.39913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 0. Suppose -t*h - 2*i - 48327 = -7*h, 3*i - 48322 = -5*h. Is 4\/18 + h\/45 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1617317193\/357890 + -57\/13765. Let a(i) = -4517*i**2 + i. Let f be a(1). Let q = t - f. What is the common denominator of 5\/18 and q?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7414137?\nAnswer: 3, 107, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6\/5)*((j\/(j*j**(-3\/4)\/j*j))\/j*j)\/j*j**(-3)\/j**(-1\/4))**(-3) assuming j is positive.\nAnswer: j**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34 - -35?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 6. Let h be c(-3). Suppose 0 = -2*f + 11 - h. What is the nearest to -2 in -4, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*c - 7, -2*c - 2*x = -3*x. Let j be -1*(c + -2)*1. Suppose o = -j - 3, -i - 2*o + 11 = 0. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 6*i + 324 = -3*i, 4*r + 2*i - 324 = 0. Suppose -7*p - 7 + 35 = 0. Suppose -2*z + 3*z = 3*f + 17, p*z = -f + r. Solve 5*j - z = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 - 3*w**2 - 72*w + w**4 + 4*w**2 + 69*w to c*w + j*w**4 + h + m*w**2 + v*w**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2\/3 + 133004290*s\/3 + 4422535289601025\/3 = 0. Calculate s.\nAnswer: -66502145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 3*a = 7, a = -3*o + 2*a + 16 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534066?\nAnswer: 2, 3, 13, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = 801 + 6955. Let w = -549 + b. Solve w*f - 5 = -5*v, -3*v + 0*v - 12 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1352575 by 909.\nAnswer: -1352575\/909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 11*v - 8. What is m(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ba - -2?\nAnswer: bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 10*b + 2. Let c(f) = f**2 - 9*f + 2. Suppose -5*i + 55 = 10. Let a be c(i). What is the remainder when 64 is divided by m(a)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 5*a + a)*(3*a - 3*a - 3*a**2).\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcacigaaaecgag. Give prob of picking 1 a and 1 m.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 7*c**2 - 6*c + 4. Let o be k(-6). Let b = 13 - 17. Put b, -1, o in descending order.\nAnswer: o, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 39, 312, 553, 738, 843, 844, 717?\n\"Answer: -4*d**3 + 8*d**2 + 277*d - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 564826246 - 0.03.\nAnswer: 564826245.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11106.\nAnswer: 2, 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32 + 42 + 23*t**2 - 12*t**2 - 13*t**2 - 15*t wrt t.\nAnswer: -4*t - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 4*a + 39, -2*a - 33196 + 33244 = -2*h for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 8 = p + 2*s, 0 = -5*p + 3*s + 64. Let a(q) = 21*q**3 - 11*q. Let i(g) be the third derivative of -g**6\/30 + g**4\/12 - g**2. What is p*i(d) + 2*a(d)?\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*i + 189*i - 1233*i**3 + 1231*i**3.\nAnswer: -2*i**3 + 244*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10225 divided by 10225?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) -3 (c) 4.6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 641595786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/(-112) - (-4)\/((-64)\/(-4))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3035*p + 9103. Calculate x(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5561 - -0.0561. What is the second biggest value in -2\/3, -0.06, w?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*k - 6, 0 = -7*d + 11*d + 4*k - 16. Which is the closest to -0.02? (a) 1\/6 (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 240*n**2 + 7683*n - 1442. Determine q(202).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 874 = -3*h + 1764, -h + 3*k = -856. Suppose -3*z - 2457 = -4*r, 390 = 2*r + 5*z - h. What are the prime factors of r?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -108? (a) 0.3 (b) -1 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpo when three letters picked without replacement from {o: 1, t: 3, p: 2, k: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 6746505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 + 6*a**2 - 3*a + 11. Is o(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e36 + 3?\nAnswer: -e33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2335015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + 112100221200?\nAnswer: 112100221100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 23*g**3 + 620*g**2 + 26*g - 44. What is the tens digit of a(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -2. Suppose 2*h + 5*x = 15, -2*h = -3*h - 2*x + 8. Let d be (-24)\/40 - (-2)\/h. Which is greater: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l = 3*r - 20, 2*l - 2*r = -10. Let g be (2 - 3 - 0)*l. Solve -4*c = -g*c + 5*i, c = -4*i for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j - 2. Calculate v(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 17. Let j = -15 + c. Let k = j - -2.9. What is the closest to 0.3 in 2, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-3)))**(-32)*(u*u*u**13)\/(u\/u**(4\/21)) assuming u is positive.\nAnswer: u**(2314\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/196 and -41\/142300802?\nAnswer: 284601604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(1331)*2.\nAnswer: 88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/4)*z\/((z**(1\/4)*z)\/z))\/((z**(1\/3)\/z)\/z*z**2) assuming z is positive.\nAnswer: z**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h**2 + 27*h**2 - 6*h + 3*h**2 - 21*h**2.\nAnswer: 19*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/21)\/(22\/(-77)*(-1)\/5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13572*j**2*o**3 + 2*j**2*o - 3*j**2 + j*o**3 + 3565*j*o**2 + j - 2*o**3 - 15*o**2 wrt j?\nAnswer: -27144*o**3 + 4*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 10:04 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3523*c - 5 - 6633*c - 23.\nAnswer: -10156*c - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2. Let m(o) = 2*o. Let y(k) = 100*k. Let j(w) = -160*m(w) + 3*y(w). Give j(i(u)).\nAnswer: -40*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -20. Let q be (-36)\/o + (-2)\/(-7). Let b be (-14)\/(-2)*(-4)\/(-7). Solve 0 = -p + 5*p + b*m + 4, 4*p + 3*m + q = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 62. Let q = u + 36. Suppose -l - 5 + 9 = 0. Solve l*f + 26 = q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.4 (b) 0 (c) -2\/3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 498190 and 1490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**5\/6 + v**4\/3 - 4*v**3\/15 - 4*v**2. Find i such that f(i) = 0.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/9 - 8\/36. Suppose p = -2*y - 0*y. What is y rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-6)*(-7 - (-10 + 15)). Solve 19*y + k = 17*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(300)*-2 + -5 - (6*(sqrt(300) - (sqrt(300)*1 - sqrt(300) - sqrt(300))) - (sqrt(300) + 2*sqrt(300) + 3))**2.\nAnswer: -24314 + 440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**0\/l*l)\/l)**(5\/9))**6 assuming l is positive.\nAnswer: l**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - q - 3328 = 0, 4*q = -2*g + g + 674. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tr when two letters picked without replacement from twjtrtgt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**5\/90 + n**4\/27 - n**3\/27 - 4*n. Let x(m) = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 327670 and 1085?\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 5851.\nAnswer: 29255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2 - 1)*(-z + 2*z + 8*z) + (2*z + 0*z + z)*(-1 - 2 + 2) to i*z + s and give i.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.11 - -1.31. What is the biggest value in 3, i, 0.4, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.09 (b) -0.2 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*n + 4. Let k(s) = 6*s + 1 - n. Let o(p) be the third derivative of p**4\/8 + 105*p**2 - 59. Give k(o(x)).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 4*f**2 - 3*f - 3. Let d be x(-4). Let c(q) = -q + 16. Let l be c(d). Suppose 5*y + 2*b = 34, 4*y - 7 - l = 5*b. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -49?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, n: 4}. What is prob of picking 1 d and 1 n?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3*a + a + 4*a)*(9*a**3 - 2*a**3 + 33*a**3) in the form v + x*a**3 + f*a**4 + u*a + w*a**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 654 + 1670 - 258 + g + 934 to l*g + f and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-270543)\/39 - (2 + -5 - 1) - 7. Does q = -6941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -1 + 0\/(-3). Suppose -2*f - 8 = -w. What is the smallest value in -1, 0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 36*p. Suppose 0 = -6*u - 1 + 13. Let g(l) = 9*l**2 + 5*l. Let b(h) = -4*h**2 - 2*h. Let q(s) = u*g(s) + 5*b(s). Give q(r(y)).\nAnswer: -2592*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3 + 2*m**3 - 7*m**2 + 3*m**4 - 3 + 0 + 2*m = 0. What is m?\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 20 = -0*l + 2*x, 40 = 2*l - 5*x. Suppose 3*z + 2*z + l = 0. Which is bigger: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(266) - (sqrt(266)*1 + sqrt(266)))*4 + sqrt(266) - sqrt(266))\/sqrt(7)*1)\/(sqrt(2) + sqrt(8)*3 - 5*sqrt(50)).\nAnswer: 2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -288*m + 3781. Is i(-29) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180\/840*28\/4*(-1380)\/15?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*m**3 + 26*m**3 + 27*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*d + 21*d - 90. What is the remainder when 22 is divided by (2 - 0\/(-1))\/(5\/d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 7*d**2 + 1. Let w = -187 + 193. Suppose 25 - 61 = -w*n. What is the lowest common multiple of v(7) and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69793852 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*s + 23 - 59 + 34 - 3*s.\nAnswer: -53*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.061 + -0.06268. What is v rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5*w*w**(-1\/5)*w*w)\/((w*w**(-7\/2)\/w)\/w*((w\/(w**3\/w)*w)\/w)\/w) assuming w is positive.\nAnswer: w**(143\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, -1, -0.05, -4, 3, -2 in ascending order.\nAnswer: -4, -2, -1, -0.14, -0.05, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4573 - -122236437.\nAnswer: 122241010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.91146908 to two dps.\nAnswer: 21.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 90.8063 millennia?\nAnswer: 908.063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/((-135)\/10) + 594849\/207. Calculate the greatest common divisor of g and 338.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -105 in 1, -0.75, -1.4, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by 14\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.08 - 0.08. Let o = w - 3.5. Which is the second biggest value? (a) -2\/13 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 402 and 928218.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 73224 and 128076912.\nAnswer: 1152692208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/10 and 153\/(-30) + 3 - -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4\/49, 0, -1\/5 in increasing order.\nAnswer: -1\/5, -4\/49, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2870 = 41*d - 2788. Which is the closest to 13\/2? (a) d (b) -2\/13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 302, 683, 1216, 1901?\nAnswer: 2738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f - 4. Let o be (0 - 4 - (-3 - -9))\/2. Give n(o).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3994*r**3 + 7931*r**3 + 1 - r**2 + r**2 - 3833*r**3.\nAnswer: 104*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54009 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**5\/4 - 85*l**4\/12 + 215*l**3\/2 - 1035*l**2\/2 + 119*l. Factor x(z).\nAnswer: -5*(z - 3)**2*(z + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59*x + 16*x + 111*x + (0 - x + 0)*(1 - 3 + 3) + 2*x - 2*x - 3*x)*(x**2 + x**2 - x**2)*(-1 - 3 + 3)*(-5 + 5 - 1).\nAnswer: 182*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one quarters of a kilometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-56) + -1 + (-38)\/(-133)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -29, 152, 0.2899?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5)*b*b\/b**(1\/4))\/(b\/(b\/(b**0\/b))*b**(2\/11))*(b\/b**(-1\/5)*b*(b**(-8)*b)\/b*b)**(-20) assuming b is positive.\nAnswer: b**(4117\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1305.131 - 1518?\nAnswer: -2823.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 2070*h = 2071*h + 7, 16*f + h = 31 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnixnpxnxyxyjiy. Give prob of picking 1 j and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (13\/26)\/(((-28)\/(-8))\/7). Suppose 2*l + 4*k = z + 11, l - 5 = -3*k. Solve -6 = -s + j, -5*s - 2*j + 8 = -l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 39, -2.\nAnswer: -2, 1, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 + -41601?\nAnswer: -41583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6123 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: Simplify (1*(-4 + ((sqrt(104)*-3 + sqrt(104))*-3)\/sqrt(8))*1)**2.\nAnswer: -48*sqrt(13) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 273 and 0.12.\nAnswer: 32.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -45 - 4.8864\nAnswer: -49.8864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 4. Let y = 20.5 - 17. Let n = a + y. What is the third smallest value in 4\/3, -0.1, n?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 11.3 and 6488\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*u + 3*u**4 - 29*u + 53*u - 13 + u**2 in the form h*u**4 + q*u + l*u**3 + w + g*u**2 and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(12)*3 - ((sqrt(12) - 1*sqrt(1200)) + sqrt(12)))\/(-5*(sqrt(4)*-3 + sqrt(4)) - sqrt(320)\/sqrt(5)).\nAnswer: 7*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(19\/4)*u**(1\/4)*u)**34 assuming u is positive.\nAnswer: u**238","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1042*o + 481*o + 3*o**2 - 1 + 506*o.\nAnswer: 3*o**2 - 55*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -215 + 4052?\nAnswer: 3635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*c - 5)*(-c**3 + 5*c - 5*c) + (3*c**2 + 4 - 4)*(c**2 - 2*c**2 + 2*c**2).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 715179519 and -966.\nAnswer: 715178553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88553044?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b + 15. Determine s(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/300*-2*(-42225)\/6. Is r at least 470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnnpvnhddndn. What is prob of picking 1 p and 1 h?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j + 21. Let r be f(7). Suppose -3*n + 0 + 12 = r. Suppose l - 5*m = 38, -n*l - 130 = -9*l - 5*m. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eaauamueeuejeua. What is prob of picking 2 e, 1 m, and 1 u?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.0241137 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1666582 to the nearest integer?\nAnswer: 1291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4287145330?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**6\/120 - 3*w**5\/20 - w**4\/12 - 7*w**3\/6 + w**2. What is the tens digit of s(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -453 + 550. What is the remainder when 177 is divided by x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29678883 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28551440 and 1.\nAnswer: -28551440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*s - 188 - 10 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*((-2)\/4)\/(-1). Let s(t) = -t**3 - 3*t - 5. Suppose -7*k - 46 = -11. Let z(j) = -9 - 7*j + 2*j - 4*j**3 + 2*j**3. What is k*s(m) + p*z(m)?\nAnswer: -m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w - 36*w + 47678 = 43802 for w.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from owgggdhgdgzddogogz?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 3*g - 12. Calculate q(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112360535 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3257, 1669, -977, -4681, -9443, -15263?\nAnswer: -22141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 702776 and 9630?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 728293, 728289, 728283, 728275, 728265, 728253?\nAnswer: 728239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - q + 4*v - 52 = 0, -2*v + 2 = 0. Suppose 17*l - 320 = q*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 958055 < 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i + 25. Let s be f(-11). What is t in -2*t**s + 7*t**3 + 6*t**2 + 9*t**2 - 20 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79125494 and 196?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3703*m + 8962. List the prime factors of f(-4).\nAnswer: 2, 11887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121202110120 (base 3) in base 8?\nAnswer: -3222150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -16, 42, 108, 140?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 1. Suppose 0 = 3*k + 5*m - 15, 109*m = -3*k + 112*m - 33. Let z(u) = -u**2 - 5*u - 11. What is k*v(d) - z(d)?\nAnswer: d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*c - 228 - 950 = 604 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-57562)\/68*-12)\/((-2)\/(-12)) a multiple of 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5}. Give prob of picking 4 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 23, -95, 54 in ascending order.\nAnswer: -95, 5, 23, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 210249825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16, 75, 174, 313, 492?\n\"Answer: 20*x**2 - x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 3\/2, -6\/17, 38, 0?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95 - 26 + 43 + 2*p + 80 - 2.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, -8, 0, 3 in descending order.\nAnswer: 9, 3, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -27. Solve 0 = i*d - l - 4, -3*l + 0*l - 12 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 8*u**2 + 8. Let s(d) = -11888359*d - 17*d**2 - d**3 + 11888359*d - 17. What is 13*f(i) + 6*s(i)?\nAnswer: 7*i**3 + 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 238858.1 rounded to the nearest 1000?\nAnswer: 239000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000089852 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7508 or -7507?\nAnswer: -7507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 2, 4, 2\/87, -2 in descending order.\nAnswer: 18, 4, 2, 2\/87, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(20)\/sqrt(2) + -1*sqrt(810))\/(((1*sqrt(100))\/sqrt(10))\/sqrt(5)).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -15*u**2 + 32*u + 10. Let h(r) = 8*r**2 - 14*r - 5. Calculate -5*h(v) - 2*x(v).\nAnswer: -10*v**2 + 6*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 124*o + 6165. What is v(-38)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = -548 - 127. Suppose -j + 6*j = x. What is the smallest common multiple of j and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 10:18 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f**2 + 1659*f - 119772. Give b(-295).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 110\/486347 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 7513*i**2 - 7508*i**2 + 22545*i**2 - 7506*i**2.\nAnswer: 18*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**2. Let p(l) be the first derivative of -2*l**3\/3 - 9. Determine p(d(r)).\nAnswer: -32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 + 49. Suppose -9*o = -a*o - 2674. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*n + 75*n = -919 + 659 - 1252 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 3*x**2 + 4. Let a be r(-3). Let f(s) = -s + 1. Let l be f(3). Put -1, a, l in decreasing order.\nAnswer: a, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 25 = d, -8*d + 7*d = 0. Let r be 16 + -16 - (1 + j*-1). Solve 10*p - r*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 3*y - 3 = 15*i, 0 = 5*i - 5*y - 5. Let r(h) = 17*h**2 + 5*h**2 - i*h**2 - 5*h**2 - 2*h**2. What is r(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79*p**2 + 34*p**4 + 83*p**2 + 2*p**3 - 160*p**2 to w + z*p**4 + g*p + a*p**2 + j*p**3 and give z.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/60 and -99\/546320?\nAnswer: 1638960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2870*t - 2940 = 3360*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 2*z**2)*(-8 + 4 - 6) + 2*z**2 + 0*z**2 + 0*z**2.\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/160190 and 7\/10790?\nAnswer: 2082470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 26 + 27 + 2*v**3 + 27.\nAnswer: 2*v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1, -4, -3, -8, 9604?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/((-12)\/(-1)))\/(-1*1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**5\/5 - 5*g**4 - 44*g**3 - 160*g**2 - 256*g + 54. Suppose r(w) = 0. Calculate w.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a factor of 2032727055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**2 - 9298925*w = 0.\nAnswer: 0, 1859785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**3 - 1344*d**2 + 7927*d - 2196. Determine j(330).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4*p + 32, -p - 6*n + n = 0. Let z = p + -16. Let m(f) = 32 + 2*f - 56 + 32. Calculate m(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 4 - 23*d + 1\/2*d**2 - 1\/6*d**3. Let h(p) = 2*p**3 + 2*p - 2. What is -h(j) - 2*y(j)?\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 24. Let x be o(-17). Sort -5, x, -1.\nAnswer: -5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q - q + 3 - 253 = 0 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2. Let w(v) = 7*v**2 - 6. Let n(o) = 13*o**2 - 11. Let k(a) = -6*n(a) + 11*w(a). Let h(d) = k(d) - m(d). Let j(q) = -20*q. What is h(j(t))?\nAnswer: 400*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*m - 2 = 52 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/8949?\nAnswer: 2\/8949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shz when three letters picked without replacement from {z: 4, h: 2, s: 4, a: 7, p: 1}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c + 79. Calculate the smallest common multiple of u(-25) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1579752 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**5\/4 - 125*c**4\/4 - 3837*c**3\/4 + 4725*c**2\/4 + 11907*c\/2 = 0.\nAnswer: -63, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19723395?\nAnswer: 3, 5, 1314893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -215, -451, -687, -923, -1159, -1395?\nAnswer: -1631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-50)*15\/(-12)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6919723, -6919727, -6919729, -6919729, -6919727, -6919723, -6919717?\n\"Answer: s**2 - 7*s - 6919717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 947384257 to the power of 1\/2, to the nearest integer?\nAnswer: 30780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -102*n + 10. Let t be k(-5). Suppose 191 = -7*o + t. What is the remainder when o is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1024)*-2)\/sqrt(8).\nAnswer: -96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2021 - 12210313?\nAnswer: -12213000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -7) + -3 - (0 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-33)\/(-22))\/((-3)\/(-26)). Suppose n + 4*i = s + 13, 2*i = 5*n - 152. Let x be (-40)\/n*(-3)\/2. Solve -3*l - 2 = -z - 15, 3*z - 16 = -x*l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18810 + -18502. Calculate the remainder when d is divided by (-624)\/(-10) - (-6)\/(-15).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -6 (c) 2312.3 (d) -0.39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -10202*k + 10206*k + 49, 32 = -4*x + 3*k for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w**2 - 369*w - 270 = 0. What is w?\nAnswer: -30, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 3:13 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441947?\nAnswer: 11, 40177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -770509?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-85)\/(-17)*(-2)\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/7)\/t*t**(-1\/4)*((t**(2\/9)*t)\/t)**(23\/5) assuming t is positive.\nAnswer: t**(-647\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1362 divided by 76\nAnswer: 681\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 8 (c) 206 (d) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -75, 734.\nAnswer: -75, 2, 734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2022*q**4 - 1014*q**4 - 1009*q**4 + 2 - 2*q**2 - 2*q**3 - 14*q to the form h + i*q + c*q**3 + w*q**4 + y*q**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -778627 + 5439339\/7. Let w = 1583 + a. What is the common denominator of (-3)\/(-12) + 253\/(-36) and w?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 9*s + 5. Let g be c(-9). Suppose -5*a = -10 - 25. Find the third derivative of a*p**4 - 12*p + 7*p + p**2 + g*p wrt p.\nAnswer: 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3574 + -3570. Let h(s) be the third derivative of 0*s**5 + 0*s - 1\/10*s**7 + 23\/6*s**3 + 0*s**j + 0*s**6 + 27*s**2 + 0. Differentiate h(f) wrt f.\nAnswer: -84*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrdfnqq. What is prob of picking 1 q, 1 f, and 2 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 497078 - 497078. Let g(i) = -i**2 + 5*i. Determine g(u(j)).\nAnswer: -j**4 + 5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*d - 71*d + 43*d + 5 to the form n + w*d and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39.398 + 41.398. Which is the third biggest value? (a) 2.58 (b) -2 (c) 5 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 8*v**2 + 6*v + 2. Calculate z(6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10085 + 8805. Which is smaller: n or -3841\/3?\nAnswer: -3841\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69011*x = 69026*x - 225 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.851 - 0.091. Let o = -0.16 + i. Let x = o + -1.599815. Round x to 5 decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 570 and 570?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2945679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {p: 5, h: 5, f: 8}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + 111. Suppose 0 = -v*p + 140*p + 6. Solve 3*w + p = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*r - 3. Let d be 5*1*14\/(-35). Let x be 1 + 1 + 0 + d. Solve x = 2*o - r + 9 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/45)*t**2\/t*(t**(-22)*t)\/(t\/t**(-28)))**35 assuming t is positive.\nAnswer: t**(-15449\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1823, -6568, -14471, -25526, -39727, -57068?\n\"Answer: v**3 - 1585*v**2 + 3*v - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 9. Let t be o(7). Let p be ((-16)\/20)\/(t\/5). Let z be 3 + (p - 26\/24). Is z less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5\/4*d**2 + 5\/4*d - 5\/4*d**3 + 0 - 5\/4*d**4 = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2884, -4171, -5458, -6745?\n\"Answer: -1287*j - 1597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (26 - 25) + -28.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7220*y = 7180*y - 640 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19295044?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z - 1519 = -6*z - 1603 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 53 = -2*l + 15, -l = 3*l - 60 - 56 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6*c - 48 = 0. Let p = -2469 + 2549. Calculate the remainder when p is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -y - 3*y + 9, 0 = 3*y + 3*k + 27. Suppose -l + 8*l - 147 = 0. Let c be -7 + 3 - l\/(-5). Put c, 2, y, -6 in decreasing order.\nAnswer: 2, c, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2. Let q(r) = 44*r + 38*r - r**2 - 11*r. Determine q(c(h)).\nAnswer: -h**4 + 71*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2761.\nAnswer: 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3016 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 755328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4}. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6*z + 2154 = -z, z + 3618 = 5*k. What is the tens digit of 6\/14 + k*(-20)\/(-70)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 2*(sqrt(512) + 0)**2)*-3 + 3 + -5)*5.\nAnswer: -15445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1282 + 1351. Calculate the lowest common multiple of c and 48.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.5 - 15.2. Which is the nearest to n? (a) -4 (b) 58 (c) 0.2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/3)\/((-474)\/23285961)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 16) in base 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 389823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 340 - -3b690?\nAnswer: 3ba00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -111110 smaller than -110853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.61442 from 59.\nAnswer: 58.38558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -103*s - 133. Let a(o) = -o. Suppose 3*z - p = 3, -5*z - 5*p + 5 = -0. Let j(f) = z*b(f) + a(f). What is the first derivative of j(g) wrt g?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 27, 6\/307, 2, 1\/3, 0.5, -0.07?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14*(-4 - (-54)\/4). Suppose -3*q + 3*q**2 - h*q**3 + 3*q + 136*q**3 = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1743862 by -2.\nAnswer: -871931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 29 + 116. Solve 53 = 6*z + a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 120.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/888 and -85\/64.\nAnswer: 7104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (-702)\/15 + 3. Let m = q - -46. Which is the nearest to 1\/5? (a) 0.3 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 - 13*y - 25. Let a be c(13). Let n be a\/3*(2 + 4\/(-3)). What is the common denominator of (2\/n + 0)*-186 + -1 and 59\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*k = 381 + 543 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74\/(-4))\/((-1317)\/(-5268)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 4*u - 4. Let t(n) = 2*n**3 + 3*n**2 - 6*n. Calculate the lowest common multiple of t(2) and g(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-1)\/(-4))\/((-13)\/(-104)))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 622*n*v**3 - 909*n*v**2 + 2*n*v - 2591104*v**3 with respect to n.\nAnswer: 622*v**3 - 909*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3\/21 - 16*x**2\/7 + 72*x\/7 + 640\/21 = 0.\nAnswer: -2, 10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 10:27 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - 22110222201?\nAnswer: -22110222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -9*c + 39. What is q(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 9*h - 93. Let s(m) = 20 + h - 66 + 24 - 4*m + m**2. What is s(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 38. Let k be i(9). Let j = k - -126. What are the prime factors of j?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25130 is divided by 12562.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 92*c + 615. Let q be t(-6). Solve -q*i = -2*i + 122 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 6:01 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 7*i = 192. Does 5 divide 404\/10 - i\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*i = 1. Let o be ((-3)\/4)\/(i\/4). Which is the smallest value? (a) 0.4 (b) -2\/13 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 6*s + 4. Let c be t(6). Suppose -249 = -3*j + 4*q, -5*j - c*q = -2*q - 389. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 + 4*m - 7 + 7. Let x(f) = -f**2 - f. Let r(b) = -b**3 + 8*b**2 - 8*b + 6. Let s be r(7). What is s*v(o) - 4*x(o)?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, x: 1, k: 1, n: 2, d: 1, l: 1}. Give prob of picking 2 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(130) - sqrt(130)*3) - (-1*sqrt(130)*3 - sqrt(130)))\/((sqrt(90)*2 - sqrt(90))*-5 + (sqrt(90) - 5*sqrt(90)*-2)).\nAnswer: 7*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 + 12*g. Let a(n) = -n**2 - n. Suppose 21 - 100 = 79*m. What is m*a(c) - y(c)?\nAnswer: -c**2 - 11*c","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 427 - 310. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5263390 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -7. Suppose v*y - 5 = 7. Suppose 0 = -66*f + 69*f + 2*j - 10, 3*f - 11 = -j. Solve 0 = y*m - f*z - 28, m + 5 + 0 = -5*z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.001235 - 0.023584. Round l to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + (-25)\/5 - (-5 - -1). What is the fourth biggest value in 7\/4, k, 2, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -636*d**5 - 3824*d**4 + 10764*d**3 + 3952*d**2 - 10128*d - 128 = 0.\nAnswer: -8, -1, -2\/159, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 - 0 - (-9)\/3. List the prime factors of 10\/4 + b - (-713)\/62.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 11. What are the prime factors of 3\/j + (-332)\/(-8)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 0.551014\nAnswer: -0.1653042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 11\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37223 - -44867. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/11, 3\/5, 1, 6, -28?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1328*m**3 - 369*m**2 + 286454*m wrt m?\nAnswer: 7968*m - 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 8*z**2 + 6*z + 9. Let r be o(7). Let y(a) = 2*a**2 + 3*a - 7. Let c be y(r). Solve -x - 4 = -c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -127 + 135. Suppose -4*n - 4 = -4*z, l*n - 4 = 7*n. Suppose 0 = -w + z, 2*s + 5*w + 10 = 37. What is the smallest common multiple of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f = 20*f - 35*f - 24 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in 1\/5, 3, -2, -2\/7, -0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**3 + 2*m - 1. Let q be i(1). Let s be ((-4)\/6)\/(4\/(-6)). Suppose -4*x - o - 3 - 10 = 0, x + 4*o = -7. Put x, q, s in increasing order.\nAnswer: x, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 7*c**2 + 7*c - 7. Let w(h) = h - 5. Let t be w(8). Let u(x) = x**3 - 3*x**2 - 3*x + 3. Calculate t*d(q) + 7*u(q).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 136576.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1769.\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -412009\/40 - -10299. Calculate the common denominator of 151\/306 and d.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - -30. What is the remainder when 74 is divided by n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -820.1942892 and -0.4?\nAnswer: 819.7942892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 5*p**2 - 4*p - 10. Let y be t(6). Suppose 7*k - 33 = -4*m + 2*k, -y*m = 3*k - 19. Solve m*u + 2*u - 4 = 4*v, 0 = 4*u - 3*v - 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8*(1 - (-81)\/(-6)). Let x be v\/(-36) + 9\/(-3). Which is the second smallest value? (a) -0.1 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = n - 2*n. Let z = 36 + n. What is the units digit of 8\/5 - z\/(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1686 minus 0.31?\nAnswer: 1685.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a micrometer in nanometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(9\/180*12). Suppose -8*r + 3*r + 4185 = o*g, -r = 2*g - 1669. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20215016 (base 7) to base 14\nAnswer: 31c00d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3258433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 2*r + 8, -3*r - 1 - 4 = -d. Suppose 5*q = -25, 4*z - 2*q + q - 121 = 0. Suppose 24*s + 30 = z*s. Solve -d*f - f - s = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -3, 1, -5, 0 in increasing order.\nAnswer: -5, -3, 0, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**4 + 134*p**3 + 1620*p**2 - 3638*p + 1885 = 0 for p.\nAnswer: -13, 1, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 26348?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 12, 0 = -y - 3*b + 4 + 11. Let v(g) = -9*g - 5*g + 13*g + 2. Let t be v(y). Is t equal to 1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.0000148 + 13. Round g to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {g: 7, j: 4, x: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*2)\/sqrt(7))**2*-4 + sqrt(130)\/(4*sqrt(160)).\nAnswer: -208 + sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 129\/(-15) + 10\/(-25). Is 2\/g + 55221\/27 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -4e8e4cd?\nAnswer: 4e8e4ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129320 divided by -122.\nAnswer: -1060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18.6718 and 4.\nAnswer: 74.6872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*c - 1 + 5 = 0, 4*f = -5*c + 4. Suppose -v = f*v - 2933. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52*n**3 - 23*n**2 + 70*n**2 + 2*n**4 - 16*n**3 wrt n?\nAnswer: 48*n + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 2\/11 (c) -30\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 + 1743*i - 1743*i + 0*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 (base 11) in base 7?\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 115 - -56?\nAnswer: 16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 105, -8, -2\/3.\nAnswer: -8, -2\/3, -2\/5, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*p - 15531, -4*v = 5*p - 5*v - 15519. Is 107 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 + 28*a**2 - 9*a**2 - 13*a**2 - 10*a**2 in the form f + o*a**2 + t*a and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + i. Let w = -6203 + 6204. Let n(f) = 11*f**2 + f - 1. Determine w*n(c) - 5*q(c).\nAnswer: 6*c**2 - 4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 332024*k**2 + 332020*k.\nAnswer: 4*k*(k + 1)*(k + 83005)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 60*p - 2630. Let v be r(58). What is the highest common factor of v and 408?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 7752?\nAnswer: 15504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96*m**2 - 551*m**2 + 3*m**2)*(-3*m**3 + 0*m**3 + 0*m**3).\nAnswer: 1356*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 26, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-4)\/(-86)))\/((-9798)\/19596)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 15. Suppose 0 = -l*r - 26 + 28. Suppose -1 = -i + r. Solve -i*q + 12 = 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(153) - -1*(sqrt(153) + 2)) + sqrt(153) + 5 + sqrt(153)*-1).\nAnswer: 14 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2. Let l(a) = 84*a + 5. Suppose 15 = 3*w, 6*b - 8*b + 15 = w. Let r(h) = -4747*h - 282. Let m(q) = b*r(q) + 282*l(q). What is m(t(s))?\nAnswer: 94*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.19 - 0.49. Let x be 2\/(-5) + 27\/5. Sort 2\/17, m, x.\nAnswer: m, 2\/17, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 - 38. Let v = -21.11 + i. Let l = -0.33 - v. What is l rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1031132 + -31?\nAnswer: -1031213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 plus -254.62?\nAnswer: -200.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfcgk. Give prob of picking 1 c and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20418?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 12:45 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/((-754)\/(-2))*-1?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3806 + 3806 - g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 7:52 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4687\/254 + -6\/127. Which is bigger: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 26 = 3*l. What is the greatest common factor of l and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 - 122*h**2 + 3*h + 1. Let i(l) = 4*l**3 + 247*l**2 - 7*l - 2. Calculate 3*i(x) + 7*p(x).\nAnswer: -2*x**3 - 113*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -216260403?\nAnswer: 216260410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 22 = 5*o, 0*d - 5*o = d - 1. Suppose -5*y = -3*u - 10*y + 11, -2 = y. What is the highest common divisor of u and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5bab3 - -5?\nAnswer: 5bab8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/10))**(-26\/3)*(h**(2\/7))**(-40) assuming h is positive.\nAnswer: h**(-491\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 352 by -11.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 12 + -3 - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 611563219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 673210860 to the power of 1\/2, to the nearest integer?\nAnswer: 25946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -7\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (((-8)\/(-7))\/2)\/(272\/40936) is divided by 13 - (0 - 3) - -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-859*k**2 + 293*k**2 - 175*k**2)*(2*k + 3 + 4 - 5).\nAnswer: -1482*k**3 - 1482*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 4:53 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 24 = -5*h, -3*p + 4*h - 8 = 5*h. Let n be -1*(-1)\/(-1) - p. Let w = 32 + -129\/4. Which is smaller: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.275096035 + -22\nAnswer: -22.275096035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -u + 14. Let a(g) = 3 - 13 - 60*g + u*g. Is a(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzrg when four letters picked without replacement from fvzgfrtg?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 + 15*a + 3. Let l = -442 + 449. Let w be r(l). Solve 0 = 2*o - w, 12 + 3 = b + 2*o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/(((z\/(z\/(z*z\/(z*z\/z**(-28))))*z)\/z)\/z))*z**(6\/13)\/z*(z*z*(z**(-1\/4)\/z)\/z)**(28\/5) assuming z is positive.\nAnswer: z**(-2011\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 4*k - j + 4, -36*j + 317 = -5*k - 41*j - 52*j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 18*d + 4. Let k(n) = -2*n**2 + 19*n + 4. Let v(w) = 5*h(w) - 4*k(w). What are the prime factors of v(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -531, -532, -547, -582, -643, -736, -867?\nAnswer: -1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -10. Let f = k + 6. What is the second derivative of -o**5 - 2*o + f*o**5 + o**5 wrt o?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.063657 rounded to 3 dps?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 628, 4, -1, 3 in ascending order.\nAnswer: -1, 2, 3, 4, 628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6976122053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 66\/(-819) + (-6)\/(-21). Let n = 0.85 - 1.85. Do n and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*w + w**3 - 4*w**3 - 24*w + 2*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81533 + 31530. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 16 - 16 = 0. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(13\/3)*c)\/c)**(-2\/7)*(c**8\/c)**(-2) assuming c is positive.\nAnswer: c**(-274\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = 9*t + 5*t. Suppose 62 = w - t*o - 3*o, 3*o = -3*w + 210. Is w less than or equal to 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11370 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87 or 103?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = n - 27766, -2*n = -2*x - 0*n + 13888. What are the prime factors of x?\nAnswer: 2, 3, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(209)*1)\/(sqrt(22)\/sqrt(32)).\nAnswer: -40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*d - 2. Let i(x) = d*x - x - 8 + 4*x + x**2. What are the prime factors of i(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 774*u + 14496 - 564 = 0 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**3 - 2*b**2 + 6*b - 5. Let r be m(1). Solve r*s - 18 = 11*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**4 - 15339*i**3 + 26163189*i**2 - 14921575305*i + 59268671124 = 0?\nAnswer: 4, 1703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g**3 - 14*g**2 + 7*g - 8. Let d(t) = 5*t**3 - 14*t**2 + 5*t - 9. Let i(h) = -5*d(h) + 4*n(h). What are the prime factors of i(8)?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*j + 802*j - 238*j - 251*j - 64*j.\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -134 + 254. Let d be (-13)\/r + 6\/16. Is 0 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 690291181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 4*h + 17, 0 = 102*f - 100*f - 10*h - 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1574292 is divided by 112364?\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/4*v**5 + v**4 - v**2 + 0 - v + 7\/4*v**3 = 0. Calculate v.\nAnswer: -1, -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 23*i**2. What is the remainder when s(-1) is divided by (0 - -13)*(-55)\/(-55)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - (-4 + 1) - (-157 - -175)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 - w + 1. Let j(h) = h**3 - h**2 - h + 1. Suppose -5*y = -0 + 5. Determine y*g(c) + j(c).\nAnswer: c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/924*-22)\/(2\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16c + -166?\nAnswer: -2d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*c + 183*c + 2324 = -1936 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 0*p - 1\/15*p**5 - 1\/6*p**3 + 0 + 7*p**2 - 1\/20*p**6 - 5\/24*p**4. Is f(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 131*r**2 - 752*r + 9778. Calculate y(136).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*y + 32090*y**3 - 53*y - 53*y + 150*y.\nAnswer: 32090*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*p**4 + 49067*p**3 - 2*p - 33453 wrt p?\nAnswer: -156*p**2 + 294402*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/3 + 1875002*c\/3 - 24374857\/3 = 0.\nAnswer: 13, 1874989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 444 divide 1737163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1336*o**2. Let t(s) = -118*s - 2. Calculate t(q(n)).\nAnswer: -157648*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2729*p - 4366*p - 4388*p = 3263*p - 1872742 for p.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 5*y**2 + 4*y. Let v be n(4). Suppose v = -4*s - 2 + 18. What is the remainder when 11 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(36)\/(sqrt(6) + sqrt(24)\/sqrt(4) + sqrt(6))).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 391 = -4*g, -5*g - 12*w + 485 = -10*w. What is the least common multiple of g and 33?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.1341, -5\/4 in increasing order.\nAnswer: -5\/4, -1, 0.1341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14668503 to the nearest integer?\nAnswer: 3830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -126 - -5?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 0) + 7 + 2. Let n(k) = 11*k**2 - c*k + 6*k - k. Let b(w) = -w - 4. Let d(l) = -3. Let u(y) = -3*b(y) + 4*d(y). Calculate n(u(h)).\nAnswer: 99*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 564258308 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -g - 3. Let w = -11 + 10.92. Let h = w - 0.02. What is the nearest to h in g, -0.3, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*u - 402, o + u - 3*u - 134 = 0. Let c = 1590 - 1580. Calculate the least common multiple of c and o.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*h = -155, 4*x = h + 68 + 61. Let i be (-6)\/(-48)*-702*1*4. Let z = i + 362. What is the least common multiple of x and z?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 19*w**3 + 3*w**2 - w - 4. Is r(3) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 44*z**3 + 2*z**2 + 2*z + 2. Suppose -95*o + 84 = -106. Let b(l) = -3519*l**3 - 161*l**2 - 161*l - 161. Determine o*b(a) + 161*v(a).\nAnswer: 46*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -138.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 890*n + 16900. Determine k(-19).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 767 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 93 = 5*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19252 + 3619437\/188. Calculate the common denominator of 57\/16 and k.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 9*h**2 - 13*h + 36. Give m(3).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - w = -2*w, -3*w = -s. What is the second derivative of -4*h**2 + 3*h - h - 6*h + s*h wrt h?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -11. Let q = m + -15. Suppose q = 2*k - k - 46. What is the remainder when k is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/936*-30*(-4)\/10.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 576824 - 576696. Solve -c + 448\/3*y - 488\/9*y**2 - 2\/9*y**4 + 56\/9*y**3 = 0.\nAnswer: 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.01193 litres in millilitres?\nAnswer: 30011.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -88 + 53. Suppose -t + 226 = 4*m, -b*t + 3*t + 946 = -5*m. Is -2 + (-1)\/((-1)\/t) + 3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14020 + -2?\nAnswer: -14022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 61 + 11 = 0. Let t = o + 10. Solve -5*s - 3*q + 10 = t, 4*s - 2 = 2*q + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -5233\nAnswer: -261.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43932 + 5409*l**3 + 43932.\nAnswer: 5409*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419498.\nAnswer: 2, 349, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 160*u - 157*u = 639968, -l + 2*u + 159981 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3736 + -25.\nAnswer: -24.6264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, -426, -975, -1774, -2841, -4194, -5851?\nAnswer: -7830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.4257 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 - 28*a + 7560 + 8*a**2 + 10*a - 7555 in the form x*a**3 + m*a**2 + c*a + g and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, y: 2, z: 1, v: 2, n: 1}. Give prob of sequence fn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-12780)\/285 - (-91 - -46)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 1246.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -309 - -257 - (-19 - 10).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 17 = 3*k, -k + 5*i - 38 = -5*k. Calculate the remainder when 26 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196908 a multiple of 400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 0, -5*c - 32 = -3*p - 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56299, 56274, 56205, 56068, 55839?\nAnswer: 55494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**1*f))**27\/(f**2*f**(-1)) assuming f is positive.\nAnswer: f**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.1, 3\/4, 8\/25, 0.3?\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 641464 and 362.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-1 - ((3 - 1) + 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-41)\/(533\/13))\/((-5)\/285*3)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -2, 0.3 in decreasing order.\nAnswer: 1, 0.3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79373 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 2*f + 5)*((-2 - 3 + 4)*(2 - 6 + 2) + 1 - 3 + 0 - 1 + 4 + 2) to p + u*f and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -14. Let k = d + 3. Let y(a) = 2*a**2 - 4*a - 1. Calculate the remainder when y(k) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 2*l + 1. Let y be p(1). Let t(d) = -d - 3. Calculate t(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3929218 + 1477463 = -47*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*d - 1020, -s + 25*d = 29*d + 514. Let g = s - -662. What is the highest common factor of g and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/10*(-1 - 97). Suppose -i = -2*z + 13. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 4*h - 24, 3*b + 5*h = -3*b + 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 13*a**3. Let v(x) = -12*x**3. Let y be (-1)\/12 + (-9 - 471\/(-36)). Calculate y*l(f) + 3*v(f).\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7*j - 11. Let q be y(2). What is the second derivative of -13*a**q - 2*a + 8*a**3 + 15 + 2*a**3 - 3*a**4 + 1 wrt a?\nAnswer: -36*a**2 - 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8162071751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*g**3 + 30*g**3 + 33*g**3 + 7*g + 29 - 98*g**3 in the form m*g**3 + y*g**2 + a*g + n and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 17\/4 - (-4)\/(-16)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdd when three letters picked without replacement from jhddhhdh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cckkcckkkckcc. Give prob of sequence ckcc.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 43*l + 1. What is y(1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + -3*(sqrt(704) - sqrt(704)*-1) + 4 + 5)**2.\nAnswer: -720*sqrt(11) + 17681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -1)\/(3\/18). Let o(c) be the third derivative of -5*c**4\/24 + c**3\/3 + 54*c**2 + 2*c. Let d(k) = k. Determine y*d(h) - o(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is be + -17?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h. What is the units digit of v(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1109, -5, 92, 3, -3.\nAnswer: -5, -3, 3, 92, 1109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(38) + 5*sqrt(38)*-5))\/(1*-2*sqrt(2)*6).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x - 1. Let g(z) = -23*z - 14. Give -3*b(h) - g(h).\nAnswer: 8*h + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**11)**23 assuming z is positive.\nAnswer: z**(-230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22072 by 4241.\nAnswer: 22072\/4241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 17*s**2 - 10*s + 11. Let w be h(16). Let x = w + -72. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*q + 392*q = -15, 5*l + 60 = 5*q for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three tenths of a kilometer in meters?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**4\/9 + 2*o**3\/9 - 36. Let b(m) = 0. What is m?\nAnswer: 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(6\/328)*3476\/(-55616).\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -d655 (base 14) to base 10\nAnswer: -36923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4250*l + 2270. Let m(g) = 355*g - 193. Let y(s) = -35*m(s) - 3*w(s). Let u(h) = -12*h + 0 - 1 + 3. Calculate -55*u(v) - 2*y(v).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*z + 74, 4*u - z = z + 282. Let s = 70 - u. Let d(l) = 6*l + 2 + 3 - 6. Determine d(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 greater than -1\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 1:12 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-4\/19)\/n)\/n)\/(n\/n**(-2\/3))*(n\/((n*n**(-4\/17))\/n))\/n*n*n*n**(-2\/43)*n)**(14\/3) assuming n is positive.\nAnswer: n**(-401576\/125001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 7*d - 3. Let k(i) = -11*i + 4. Let z(r) = -3*k(r) - 5*u(r). Let n(a) = -a**3 - 5 + a**2 + 8*a**2 + 8*a - 2*a**2. Let f be n(8). Calculate z(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**5\/30 - 7*n**4\/6 - 13*n**3\/3 - 96*n**2. Determine g, given that v(g) = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42780140 divided by -2405.\nAnswer: -17788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87728438 by 574.\nAnswer: 152837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*z**3 + 2*z**3 - z + 28*z**3 - 4 + 3 + 4*z**3 to the form k*z**2 + o*z**3 + p + r*z and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + k, 3*a - k - 6 = -2*k. Suppose 2*b - 2*u = 2379990, 2*b - a*b + 1190025 = 5*u. Round b to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*q - 396*q + 52 - 51.\nAnswer: -327*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -587 times -335567\nAnswer: 196977829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -73*l - 255. What is the tens digit of d(-24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/38*4\/((-8)\/10)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 14. What is the derivative of 1 + 3*t**2 + 0 - 4 - q wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8 and -11.9.\nAnswer: -19.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000666 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 982694305?\nAnswer: 5, 196538861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4299.8 - 4300. What is the closest to p in 2\/5, 0.08, -14?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4572080189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -53, -30, 11, 76, 171?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6 = -g, 0 = -5847*b + 5849*b - 8. What is the least common multiple of g and (2 - -16) + 2\/1?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149979 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/((-468)\/288)*(-7)\/(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**5\/2 - 139*v**4 - 6705*v**3 + 103432*v**2 - 920765*v\/2 + 642675 = 0.\nAnswer: -209, -82, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q*w**3 - 2*q*w**2 + 2145*q - 293*w**3 - 5*w**2 - 22*w wrt w.\nAnswer: -12*q*w - 4*q - 1758*w - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.8497962855733 - 5.\nAnswer: 8.8497962855733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(171))**2*5 + (sqrt(931) - (3*(2 + sqrt(931)) - sqrt(931)) - sqrt(931)).\nAnswer: -14*sqrt(19) + 13674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232 and 1102.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - (sqrt(91) + 3*sqrt(91) - sqrt(91)) - sqrt(91))*3)\/((sqrt(77) - (sqrt(77)*-1 - sqrt(77)) - sqrt(77))\/sqrt(11)).\nAnswer: -9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 4*h = -3*i - 408, 4*h = -3*i + 306. Let z be 14\/91 + i\/13. Let -6*o - 12*o**3 - 8 + 4*o - 14*o - 2*o**4 - 26*o**2 - z*o = 0. What is o?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a decade in years?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1dd7 - -4?\nAnswer: -1dd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7083059, 7082947, 7082761, 7082501?\nAnswer: 7082167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 0 + ((-1 + sqrt(99) - sqrt(99)) + sqrt(99))**2)*4*4*6.\nAnswer: -288*sqrt(11) + 9600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c - 3 = 0. Solve -3*p - x = -c, x = -5*p - 3*x + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.092 to one decimal place.\nAnswer: -31.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 33594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 1. Let f(z) = -4*z + 3. Calculate f(h) - 5*k(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 6.7. Sort -2\/9, -4, b in ascending order.\nAnswer: -4, -2\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00220030141 to seven decimal places.\nAnswer: 0.0022003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 - -51. Let v(c) = -11 + c**2 + 2 + c**3 - 4*c + 3*c. Give v(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 + 11*r**2 + 7*r - 43. Give z(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwxkkkkkwykwxykwkw. Give prob of sequence yywk.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 3)*(-2 - 1 + 1) - 1 - 3 - 1)*(2*a + a - 5*a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 - 89. Which is the nearest to -2? (a) z (b) 1\/2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2233.341 rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 6:52 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -7*v**4 - 23*v**2 - 30*v + 11. Let p(c) = 4*c**4 + 12*c**2 + 16*c - 6. Let b(q) = -6*k(q) - 11*p(q). Factor b(g).\nAnswer: -2*g*(g - 2)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3184057\/208 + 15308. Find the common denominator of 103\/80 and g.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 5*r + 6. Let a(x) = -5*x**3 + 2*x**2 - 3*x + 1. Let b be a(1). Give l(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -6\/1651?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 145*a*u + 26*a - 8*u - 4 with respect to u.\nAnswer: 145*a - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 34 = 4*o - 31, 2*g = 2. Suppose 24*m - 29*m = o. Let w(c) = 5*c**2 - 8*c - 2. What are the prime factors of w(m)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -3) + 2 - (-13 - 9).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7781 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -35, -31, -29, -29, -31?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o. Let m(j) = 20*j - 17. Let v(z) = -7*z + 6. Let d be (2\/(-5))\/(3\/(-45)). Let k(q) = d*m(q) + 17*v(q). Determine g(k(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1920 - 1912. Solve 4*m - f = -b, -f + 5 = -3*m - 0*f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98671, -98670, -98669, -98668?\nAnswer: -98667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 17*r. Let c = 55 + -54. Give h(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/27740 and -49\/124830?\nAnswer: 249660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjjbbbbbjjgjjbjbjjb. Give prob of sequence bgjb.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 93792 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 17 + 1 = 0. Let l = f - -2. Put l, 5, -5 in increasing order.\nAnswer: -5, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (111\/(-185))\/((-15)\/500). Solve -8*o = -c*o - 48 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h + 98*h**3 + 107*h**3 + 7*h - 216*h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -49579*u**2 - 1. Let o be r(1). Let t = 197079\/4 + o. Let p = t - -301. What is the common denominator of p and 1\/26?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119581, 119393, 119205?\nAnswer: 119017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/(-130))\/(1\/39)*16\/(-260)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n\/(n**(-12)*n)))\/n)\/n*n**(-1\/13))\/(n\/(n\/(n\/(n\/n**(-18))))*n**14*n) assuming n is positive.\nAnswer: n**(-144\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 11 = 37. Let f be -3*(-4 + z\/(-4)). Let r be ((-2)\/f)\/((-6)\/27). Solve -8 = -r*v + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6, -2, 0.1, -7, 226.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 37*i**2 + 125*i - 193. Let h be f(40). Let l(m) be the first derivative of -7*m + 1\/3*m**3 - 2 - 3*m**2. Calculate l(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**2. Suppose 4*d + 3*h = -27, -2*h - 16 = -2*d + 4*d. Let r(w) = 7*w + 6. Let a(i) = 10*i + 8. Let p(k) = d*a(k) + 4*r(k). Determine v(p(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(35)\/sqrt(7)))\/(sqrt(2) + sqrt(14)\/sqrt(252) + sqrt(2)).\nAnswer: 6*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 10:54 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*j = -9. Let k = j + -9. Solve 2*t + 3*t + 10 = k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-24)*(-48)\/4. Factor 8\/9*k - 2\/3*k**3 + 0*k**u + 0 + 2\/9*k**4.\nAnswer: 2*k*(k - 2)**2*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*v - 2*v - 4*v)*(1 - 2 + 7) + 2*v + v - v)*(29 + 4 + 26).\nAnswer: -236*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -47638 divided by -47638\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*o - 6 = -54*o. Is 97993\/42 - o\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4*(t\/t**(-2\/5))\/t*(t**(5\/3)*t)\/((t**(2\/15)*t)\/t))\/((t**7\/t**(-2\/7))\/(t*t**2*t*t\/(t**1\/t)*t)) assuming t is positive.\nAnswer: t**(593\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 154 - 2?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**5 - 5*w**4 + 25*w**3 + 5*w**2 - 40*w + 20 = 0. What is w?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1458 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -146*p**3 + 2*p**2 - 13*p. Let b(w) = 4*w**3 - w**2 + w. Give -2*b(s) - x(s).\nAnswer: 138*s**3 + 11*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-4))\/((-4)\/(-8)). Which is the second smallest value? (a) p (b) 0.1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*f - 27. Let t = -37\/4 + 103\/12. What is the nearest to t in f, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 1, 1\/34, 3\/4 in ascending order.\nAnswer: -4, 0, 1\/34, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 - 4*k + 11. What is the tens digit of i(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.057, -0.1, 0.4 in decreasing order.\nAnswer: 0.4, 0.057, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y + 9*y - 7*y + 0 - 2.\nAnswer: 14*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 - 9.7. What is the closest to -1\/3 in -5, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133 divided by 4\nAnswer: 133\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - 12*i**2)*(2 + 18 + 1).\nAnswer: -252*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 + 6506630?\nAnswer: 6506604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 36 = 4*n, 5*a - 49 - 23 = 4*n. Suppose 13*c - a = 14. What is the third derivative of 8*z**c - 842 + 842 + 45*z**4 wrt z?\nAnswer: 1080*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 707 is divided by 119?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 2*-1*(sqrt(45) - (sqrt(270) - sqrt(270)*-1)\/sqrt(6)))*5)**2.\nAnswer: -900*sqrt(5) + 4725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -200494584, -400989171, -601483758, -801978345, -1002472932?\n\"Answer: -200494587*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -228*c**3 + 6*c**2 + 268*c - 12. Let w(z) = -684*z**3 + 17*z**2 + 806*z - 34. Let d(h) = 17*p(h) - 6*w(h). Find the second derivative of d(r) wrt r.\nAnswer: 1368*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120011200011 (base 3) in base 10?\nAnswer: 298651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((285\/(-18))\/19)\/((-2)\/12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 132 = 3*m. Let t = 22 - m. Suppose -4*f - 4 = -24. Calculate the highest common factor of t and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 804*r = -6262 - 49439 + 2637 for r.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 71.\nAnswer: -15\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78952255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 - 14 = -3*u + t, -4*u = 7111*t - 7112*t - 47 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 86*z - 6 = 170*z - 87*z, 3*v = -9*z + 24 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 + 105. Suppose -w = -4*p - 3, 2*w = -2*w - 3*p + y. Suppose -19 + w = -3*k. Solve -2*n - 11 = -3*h, 0 = k*n - n + 4*h + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3889, 10988, 21299, 34816, 51533, 71444, 94543?\nAnswer: 120824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3209552.\nAnswer: 2, 200597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**2\/4 + 3318929*u\/4 + 15765003 = 0.\nAnswer: -19, 3318948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1 + 4*w - w - 4*w. Let n = -5 + 6. Let l be (n\/3)\/((-5)\/45). Let a(y) = 3*y - 2. What is l*a(t) - 7*u(t)?\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or -4983?\nAnswer: -4983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.6 + 0.2. Let l = p - -3. Round l to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/3433 - -64723\/288372. Let a = 1\/252 - c. What is the third biggest value in -0.4, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -315968, -628847, -941726, -1254605?\nAnswer: -1567484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 + 55.5. Let n = 0.995 + -1.995. Which is the second smallest value? (a) 1 (b) 9 (c) o (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2041 + -2037. Put -6, 18, z in ascending order.\nAnswer: -6, z, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/(4\/(-592)). Suppose -t + 235 = w. Is 23 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(2\/7)\/t))**(-34)\/(t**13*t*t*t**0\/t*t*t) assuming t is positive.\nAnswer: t**(-520\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 + 887421.\nAnswer: 887421.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -244*n**2 + 254*n**2 - n + 3*n wrt n?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2200 and 300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-6)*-3)\/(48\/320*115)?\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -13 + 20 + (1 - (2 - 1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3887 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 + 4*u**3 + 0*u**3 + (8 - 2 - 2)*(2*u**3 + 3*u**3 - 4*u**3).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -7. Let s be (3 + -1)\/(-2) - h. Suppose -4*j - i + 26 = 0, -j - 2*i = -0*i - s. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -b4?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 292\/7, -1, -2, -3?\nAnswer: 292\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 10*m. Let c(g) = 1696362*g. What is q(c(y))?\nAnswer: 16963620*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*o + 4*o + 4*o)*(o - 3*o - 2*o) + 48*o**2 - 40 + 40)*(-4*o - 2*o + 4*o + (-6 + 2 + 3)*(-o - 1 + 1)) as u*o**2 + y + w*o**3 + f*o and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.9489284 seconds in days?\nAnswer: 0.000230890375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-28)\/(t\/(t**(-2\/21)\/t)) assuming t is positive.\nAnswer: t**(-632\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -33*g**2. Let j(z) be the second derivative of -7*z**3\/6 + 19*z + 1. What is b(j(u))?\nAnswer: -1617*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (3 - 2))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.334, 5\/4, 2\/3 in descending order.\nAnswer: 5\/4, 2\/3, -3.334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -394.\nAnswer: -3546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 2*k**3\/3 + 2*k**2 + 4. Is 16 a factor of i(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 4*p - 27, -188*p + 186*p - n + 11 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 32563 (base 9) to base 7\nAnswer: 116661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17107 rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooox. What is prob of picking 3 o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r - 200. Let t be w(45). Is (39\/t)\/((-2)\/1770) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, b: 2, t: 4}. What is prob of picking 2 b, 1 p, and 1 t?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 14 = -100*v + 102*v, -5*s + 10 = -3*v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3 + 69*z + 2 - 2 as q*z + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 192 = -2*s, 4*v = 3*s + 242 + 143. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54480 is divided by 381.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 44679*h**2 + 30*h - 7617. Let m(p) = -6384*p**2 - 4*p + 1088. Let c(f) = -15*m(f) - 2*o(f). Differentiate c(x) wrt x.\nAnswer: 12804*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 7. Let p = w + 6. Let r(n) = n**3 + 5 - 2 + 4*n**2 + n + 0*n**p. Determine r(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 69?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3461849 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 259624.9 + 3?\nAnswer: 259627.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-75)\/1242)*(-1810)\/1086*1\/(-12)\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.196 + 6.196. Which is the nearest to 0.4? (a) -0.1 (b) s (c) -7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*k - 10*k + 204, 2*h - 3*k = 155. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 36.95067 decades?\nAnswer: 369.5067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**2 + 44*y + 72. Let z(u) = -u**2 + 15*u + 24. Let f(d) = 5*v(d) - 16*z(d). Determine l, given that f(l) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15222 and 594690.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*c - 6*c + 4*g, 2*c = -g + 16. Suppose 3*t - c*t + 3 = 0. Let m = 5 - 2. Solve -o + t = d + 7, 0 = -5*o + m*d - 22 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3 = 4*a + 13, 5*c + 20 = 4*a. Let k be ((-7)\/(70\/(-12)))\/(27\/180). Let s be (2 - 0\/c)*k. Solve -s + 0 = -4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -12*h + 26 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/(-4)*6\/(-9). Suppose -a*f + 2*b - 12 = 3*b, 3*f = -b - 8. Let g(m) = 12*m**2 - 4*m - 7. What are the prime factors of g(f)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 119*g - 84. Determine w(0).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than 259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c = 34*c - 1 - 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 56. Let i = u - 20. Suppose -d + s = -24, -i*d + 54 - 1 = -3*s. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 336 = -5*z - 10*i, -2*i - 144 = -2*z. Suppose k + 3*k = q - 17, 2*k - z = -4*q. What is q rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 15, 5981, 2 in ascending order.\nAnswer: -2, 2, 5, 15, 5981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9099 - 3\nAnswer: 9096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4587*v + 4679*v**2 + 1482*v + 790*v wrt v?\nAnswer: 9358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 + -11. Let c be -6*(y\/(-105) - 6\/21). Suppose c*i = -3*s + 605, -s + 155 = i + s. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-980)\/(-105) + (-1 - 7). Let -4\/3 + x*t**2 - 2*t**3 + 2*t = 0. What is t?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of (-31)\/3*3\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 19*i**2 + 40*i - 154. Let n be h(4). Calculate the highest common factor of 62 and n.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 14) + (5 - (-19 + (1 - -4))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 11:23 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1265 + -1264.2434. Round v to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 340*z + 26*z - 7861680. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2532304 or 2532258?\nAnswer: 2532258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 8:58 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*o - 2*n + 32, -7*o + 6*o - 125 + 255 = -2*n + 129 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 3*y + 497. Calculate r(-24).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - -11. Suppose a + 4*q - 3 = 28, 39 = 4*a - q. Calculate the remainder when b is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 5. Suppose 0*g - 4*g = t*u - 740, -3*g + 159 = u. Is -2 + u + (-2 - -5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 3*g**2 + 2*g - 5. Let w be j(-4). Let d be (w\/(-5))\/(2\/(-10)). Suppose -t = t. Solve t*o + d = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*g + 2*g**2 + 17*g)*(-g**2 - 10*g**2 + 4*g**2).\nAnswer: -14*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 687 - 687 - 282*o**3.\nAnswer: -282*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3813654975 and 195.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 246 - 230. Solve -4*f + 0*f = -r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + -1 + -3)**2.\nAnswer: -32*sqrt(13) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.629199 meters to nanometers.\nAnswer: 9629199000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/7? (a) 4011 (b) -2 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22837179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 140\/3 - 82\/9*q + 2\/9*q**2.\nAnswer: 2*(q - 35)*(q - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**3 + 3*h**3 + h**4 + (-2*h**3 + 2*h**3 + 2*h**3)*(0 - 2*h + 0) + (-2*h + 2*h - 2*h**2)*(21*h - 18*h + 43*h)*(-4*h - h + 2*h).\nAnswer: 273*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 103886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 + 12. Let b(t) = -t**2 - 2*t + 2. Let w be b(0). Let x be w*(3 + (-7)\/2). Let u(q) = -1. Determine x*s(v) - 12*u(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/4 + (-2 - -1). Let a(b) be the third derivative of 0 + 0*b + 2*b**2 + 0*b**3 + 1\/60*b**5 + n*b**4. Let i(p) = -2*p. What is i(a(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1380 - -1386. Solve 0 = -4*b - t*g + 2*g, b - 2*g = -9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/25 - ((-714)\/(-45))\/(-7))*(-57)\/(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-84)\/((-140)\/(-20)) - (-4 + -140529) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 + 5*o - 4. Calculate w(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26, -21, -4, 31, 90, 179, 304?\n\"Answer: x**3 - 2*x - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 289, 284, 279, 274, 269, 264?\n\"Answer: -5*u + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1279689575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29294 = 32*h - 37*h + k, 3*h + k = 17570. Let u = -193735883\/234 + 7504090\/9. Let m = u - h. Calculate the common denominator of m and -47\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - 5. Let h = 9 + w. Sort 5, h, 0.1 in descending order.\nAnswer: 5, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -40*f - 215. Calculate b(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 24961\nAnswer: -4992.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*f**2 + 5\/4*f**4 - 25\/4*f**3 + 0 - 5*f.\nAnswer: 5*f*(f - 2)**2*(f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p + p - 16 + 21 + (3 - 4 + 2)*(p - p - 2*p) - 3*p + 2*p + 3*p + (0*p - 5*p + 3*p)*(-4 + 1 + 1) + 2 - 2 + p.\nAnswer: 6*p + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6569.097 milligrams?\nAnswer: 6569097000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*s + 162*s - 84*s)*(25*s - 7*s + 14*s).\nAnswer: -160*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 23.\nAnswer: 15\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -3 - (-18 - (-28 + 14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3235311991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 112 (b) 2895 (c) 1\/11 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -175*m**2 - 3*m + 1. Let p be b(1). Let x = 254 + p. Does 21 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 57*w**2 - 816*w + 239. Give a(14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -28, 30, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -434 + 582. Calculate the remainder when p is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 + -6 - -50)*5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 30 (b) 3\/4 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(15)\/((2*sqrt(40))\/sqrt(8)).\nAnswer: sqrt(3)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*a - 23 = -3*o, 4*o = 2*a + 54. Suppose -3*h + o = -0*m - m, 23 = 4*h - 3*m. Let z(g) = 4*g**h - 8212 + 8212. Let b(s) = -8*s. Calculate b(z(t)).\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 3:27 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 32*y + 1. Let g(r) = r. Let a(x) = -6*g(x) + w(x). Let t(s) = -2*s. Determine t(a(i)).\nAnswer: -52*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 318 - 317. Solve -l = -5*d + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4859, -4832, -4787, -4724, -4643, -4544, -4427?\n\"Answer: 9*s**2 - 4868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -7. Which is the closest to 0.1? (a) n (b) 1\/6 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 45211 + 17561 = -3*k, -8*t = 3*k - 167469. What are the prime factors of t?\nAnswer: 3, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s - 108 - 102 + 213 - 727*s**2 - 530*s**2 in the form c + p*s + u*s**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 5*i**2 + 1555*i - 6300 = 0.\nAnswer: -315, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 - 15*r**3 + 9*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 3 - 1 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from {b: 1, h: 1, c: 4, z: 2, v: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7*x = 72. Suppose -u = -0*u - x. Suppose u + 37 = y. What is the greatest common factor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (5 - (1 + -1 + 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h - 55 - 25 = 0. What is the closest to 1 in h, -3, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22981, 45966, 68951, 91936, 114921?\n\"Answer: 22985*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*s - 6. Suppose 2*r + 5*q - 14 = s, -5*r + 19 = 2*q - 37. Suppose 36*w + r = 38*w. Solve -5*l - 2*d = -w + 4, -3*l - 6 = 3*d for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -300 - 2?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19, 70, 123, 178, 235, 294, 355?\n\"Answer: p**2 + 48*p - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p + 524293524 - 10*p - 4*p**3 - 524293524.\nAnswer: -4*p**3 - 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-7))\/((-225)\/105))\/(12\/(-20))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -53163?\nAnswer: -53164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/3))**(1\/12)\/(t\/(t*t**(1\/4))*t)**(-18\/7))**(1\/29) assuming t is positive.\nAnswer: t**(118\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-19\/3)*m*m*m*m**(-8\/7))**7 assuming m is positive.\nAnswer: m**(-94\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32231, -32575, -32933, -33311, -33715?\n\"Answer: -o**3 - o**2 - 334*o - 31895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-3)*(176 + -167). Let j(x) = 6*x + 3*x**2 - 3*x**2 + x**2 - 7. Give j(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5380)\/1883*(-2)\/(-8)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10846819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*y + 38*y + 2808 = -10*y - 195 for y.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 2*f + 3*q, -3*f = -5*f + 4*q + 18. List the prime factors of 1\/(5\/(-1085))*f.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33759900 rounded to the nearest one hundred thousand?\nAnswer: 33800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 6*q - 4. Suppose -u + 1 = -q. List the prime factors of 1 + (u - 1)*5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g - 3*g - 155 - 79 - 5*g + 3*g to m*g + j and give j.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millisecond in microseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1315747 - 105*u - 1315747.\nAnswer: -105*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14592 is divided by 200.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 57*y - 55*y - 2*o, -4*y - 10*o - 286 = 24*o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/23711?\nAnswer: 4\/23711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -11320392\/11 less than -1029127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 42 - (10 + -7) - (-66 + -7 + 76)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 x, and 2 z when four letters picked without replacement from fbzxpbzzpfcp?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 50 = 3*u. Suppose -u*i = -0*i - 100. Suppose 5*x = i*x. Solve -h = 4 - x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2467*j**3 - 18338*j.\nAnswer: 14802*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -27, -51, -75?\n\"Answer: -24*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 24 + (2 - 1) + -11 + 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/5 + (-12)\/30)*1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.95 - 0.45. What is the biggest value in -2\/5, -8, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*-4*(sqrt(68) + -2*sqrt(68)))\/((1*sqrt(256) + sqrt(256))*-3)*5.\nAnswer: 25*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -589 by -2.\nAnswer: 589\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2571255.6 times -29\nAnswer: 74566412.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5)*(-116)\/58.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -136b?\nAnswer: -1366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19017128 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 94380 divided by 6?\nAnswer: 15730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/12)\/(8\/(-5376)*-14*16).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34030 or -34031?\nAnswer: -34031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*s + 119 + 107, -s + 49 = x. Suppose 2*a + 0*a + 2*j - x = 0, -3*a - j = -87. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1983793609.0769 take away 0.3?\nAnswer: -1983793609.3769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + -8)*(-3)\/3. Let h(g) = g + 3. Let p(s) = 5*s + 16. Let m be (-3 - 0)*4\/6. Determine k*h(w) + m*p(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 181 = 2*s, 60*s + 4*f - 237 = 57*s. List the prime factors of s.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 19. Let q be (z\/20)\/(4\/(-20)). Factor 3*i**3 - 2*i**4 + 10*i**q + i**3 - 3*i**4 + i**3.\nAnswer: -5*i**2*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10540238 and 1411?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3033115769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 6*s**2 - 8*s - 9. Determine n(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 3:44 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 185815630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s + 27*s - 24*s + 120 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/3*o**2 - 1\/2*o**4 + 1\/6*o**5 + 1\/3*o**3 - 1\/2*o + 1\/6 = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -4, -10.\nAnswer: -10, -4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 108711 and 100252 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 336 = 4*u, -b + 59 = 5*u - u. Calculate the remainder when b is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*r**5 - 2*r**4 + 2*r**3 + 9454*r wrt r.\nAnswer: -1140*r**3 - 24*r**2 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1738.94 to the nearest 10.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (16\/32)\/(4\/21064) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6474*a - 38823. Give d(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 + 63. Let t be ((-2)\/(-5))\/((-2)\/c). Let x be 0\/(-1*(t - -2)). Solve -2*y + x*y + 2 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**5 - 2184*i**4 - 8696*i**3 - 13024*i**2 - 8676*i - 2168.\nAnswer: -4*(i + 1)**4*(i + 542)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/63)*y*y**(3\/5)\/y)\/(y\/(y**(2\/13)*y)*y**(-1)) assuming y is positive.\nAnswer: y**(11147\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14805.1 rounded to the nearest one hundred?\nAnswer: -14800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - z**2 - z - 4. Let q be m(0). Let a(i) be the first derivative of -116 - 3*i + 5\/2*i**2 + 1\/3*i**3. Give a(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**2 + 109*k**2 + 31*k**2 - 8*k**2.\nAnswer: 145*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29.2 + 27. Suppose 3050*x - 255 = 2965*x. What is the fourth smallest value in 0, -2\/7, x, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2 = -b, 7*b - 3*m - 6 = 4*b. Let h(f) = f**b + 2784 - 2784. Let u(w) = 12*w + 30. Let k(i) = -1. Let p(t) = 90*k(t) + 3*u(t). Give h(p(l)).\nAnswer: 1296*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2165501 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 12800 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 9:07 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4\/2 + 78445*n**3 + 470661*n**2\/2 = 0. Calculate n.\nAnswer: -156887, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzz. What is prob of picking 4 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -47221 - 6.549088?\nAnswer: -47227.549088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**4\/24 + m**2 + 3. Let p(x) be the second derivative of z(x). Let k(v) = v**2. Determine p(k(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -249, -5, -1\/4, 1, 0.1.\nAnswer: -249, -5, -1\/4, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g. Let p be 0\/1 + (3 - 4). Let u(n) = 3*n + 3. Let l(z) = 12*z + 13. Let q(f) = -2*l(f) + 9*u(f). Give p*q(s) - 5*t(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 50.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**6*t)**(-49) assuming t is positive.\nAnswer: t**(-392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/7 - 22*g\/7 + 624\/7.\nAnswer: -2*(g - 13)*(g + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 11, -3*a + 189*h = 191*h + 25 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 137791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-16))**(-34)*q**(-16)\/q*q*((q\/(q\/(q*q\/q**(-5))*q))\/q)\/q*q*q assuming q is positive.\nAnswer: q**534","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1161, -632, 1581, 5478, 11059, 18324, 27273?\n\"Answer: 842*f**2 - 1997*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/2 - 335*p + 112225\/2 = 0 for p.\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**5 + 760*c**4 - 765*c**3.\nAnswer: 5*c**3*(c - 1)*(c + 153)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26685568 to the power of 1\/2, to the nearest integer?\nAnswer: 5166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 87*v - 2154. Let m be l(110). What is the highest common divisor of m and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-648)\/243*2\/(-48)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -134 (base 6) to base 12\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10184572 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 5*k + 1. Let l be o(-7). Solve 0*i + l = -3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31, -244, -599, -1096, -1735, -2516, -3439?\n\"Answer: -71*v**2 + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a + 25. Determine j(15).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 9*m**2 + 3*m + 70. Give o(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -46, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.8740788 + -6558.3833788. Let l = -6557 - t. Round l to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 - 3*l + 2.\nAnswer: -3*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -17*o + 1301. Let p be f(76). Solve -5*w = n - 3, -8*w + p*w = -4*n + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 57*l + 52*l = 43, 4*l + 26 = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45632460 - 21479631. Let f = r - 38952829. Round f to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 35*h**3 + 2359*h**2 + 12*h + 65. What are the prime factors of i(-67)?\nAnswer: 173, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1713118*i**3 + 1717985*i**3 - 3419205*i**3 + 2*i**3 - 2*i**3 + i**3 + (-i**2 + i**2 + i**2)*(0*i - i - i) to a*i**3 + x + u*i**2 + l*i and give a.\nAnswer: 11897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2118*y + 358186 - 23418 = -5534*y for y.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29186 - 21761 = -1236*h + 25902 - 22465 for h.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, y: 2}. Give prob of sequence yy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2450*n**3 + 4236*n**3 - 863*n**3 + 6282*n**3.\nAnswer: 12105*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/25)\/((-16)\/(-6410)). Let f = 5\/157 + -24973\/314. Let o = f + g. What is the common denominator of 1\/14 and o?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 5, k: 5, n: 2}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3)\/c)**(1\/35)\/(c**(-4)\/((c\/(c*c**(1\/4)))\/c))*(((c\/((c*c\/(c\/c**(3\/4)))\/c))\/c*c)\/c**0)\/(c*(c*c**(-1\/3)\/c*c)\/c)**(2\/13) assuming c is positive.\nAnswer: c**(1314\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 7*d + 2. Suppose 6 = -0*a + 2*a. Suppose 5*u = 3*y - 29, a*y + 2 = 2*y. Let m be i(u). Solve m*l + 2 = -4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54.6 + 58.57. Let r = 4.17 - l. What is the closest to 4\/7 in 0, r, -0.06?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10c0b9a + 1?\nAnswer: 10c0b9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 137687 and 660.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -6*w**3 - 13*w**2 + 21*w - 6. Calculate m(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 21 = 3*q - 0, 5*t - 29 = -q. What is the closest to -12\/13 in 0, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 - -286.\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1497.8 rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 532*d + 332*d + 569*d + 89470 = -512*d for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 161 - 1 + 120. Solve 35 = 13*z + t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-768)\/(-80))\/(-12))\/((-2)\/(-15))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -644, -646, -648, -650?\n\"Answer: -2*h - 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 23. What are the prime factors of 0*m\/(-18) + 1 + 35?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47770.19537 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 117. Let g = o - 73. Which is the closest to -6? (a) 1\/6 (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 7, -3, -154 in decreasing order.\nAnswer: 7, -3, -6, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o**3 + 8*o**2 - 7*o. Let q(v) = v**3 + v - 1. Let h(g) = 4*q(g) + r(g). Let y be h(7). Suppose z = -3*z + y. Solve z*a = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**2\/2 + 78. Calculate n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.921972 rounded to two dps?\nAnswer: -9.92","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*t - 1363 + 68235. Is t a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uou when three letters picked without replacement from {o: 4, u: 2, e: 3}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 402, 1570, 3518, 6246, 9754, 14042, 19110?\nAnswer: 24958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13, 83, 207, 385, 617, 903?\n\"Answer: 27*y**2 - 11*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11071214 - -1?\nAnswer: -11071213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/((-12)\/(-28)))\/((-11)\/(-76637)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10104825, 10104788, 10104749, 10104708?\nAnswer: 10104665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (-38 + -1 + 3). Is (-2)\/(-4)*(v + -5) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/2, 0.111, -1 in descending order.\nAnswer: 1\/2, 0.111, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 7*t + 26. List the prime factors of r(8).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a**2 - 369*a - 286. What is the remainder when 1181 is divided by t(-91)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8458 is divided by 69.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.5 - -8. Let s = 52 - 55. Let n = 11\/41 + 347\/82. Which is the fourth smallest value? (a) -4 (b) n (c) s (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 10 - 7 + 3*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**10\/241920 + z**9\/30240 + z**8\/13440 - 17*z**4\/12 + 17*z. Let b(r) be the third derivative of c(r). Factor b(x).\nAnswer: x**3*(x + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v + 0*v + 0*v + 2 + 2*v. What is the tens digit of i(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(384)*-4).\nAnswer: -sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**5\/20 + 7*g**4\/12 - g - 1. Let i(z) be the first derivative of h(z). What is the third derivative of i(t) wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2821 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 94070 <= 94071?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 595\/3674 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*t - 57*t + 29*t + 780672 = 0. List the prime factors of t.\nAnswer: 2, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82695.06 + 82695. Let a = 124.3 + -118. Let c = -6 + a. What is the second smallest value in -3, -0.4, c, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -6 + 2 - 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(1*sqrt(128)) - (sqrt(1100) + -1)**2*-1) + (-3*(2 + -2*sqrt(11)) + sqrt(77)\/((sqrt(77) - (sqrt(77)*2 - sqrt(77)) - sqrt(77))\/sqrt(11)))**2.\nAnswer: -319*sqrt(11)\/4 + 1412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 23 - 1. Suppose 9*y + 70 = -5*y. Is d < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00314344 to four decimal places.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.13 (b) -1 (c) -1\/176\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2377 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6\/7)\/x*x\/x**22)**(-2\/59))**(2\/191) assuming x is positive.\nAnswer: x**(640\/78883)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 12:13 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2\/7, 82, 1, -2 in decreasing order.\nAnswer: 82, 1, 0.4, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 5*x + 144 - 171, -5*a - 2*x = -20 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -385986, -385988, -385992, -385998?\n\"Answer: -d**2 + d - 385986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26 + 33*f + 40*f**5 + 13*f**2 - 28 + 5*f**4 + 252*f - 13*f**2 wrt f.\nAnswer: 800*f**3 + 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -921634, -921635, -921636, -921637, -921638?\n\"Answer: -m - 921633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*n + 385 - 1102, -4*n = 4*h - 908. Suppose 5*f = -2*o - 18 + 57, 5*f = -25. Suppose -o*y - n = -33*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(-120 - 1077*d + 40 + 84).\nAnswer: 2154*d - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 169, 485, 1095, 2095, 3581?\nAnswer: 5649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 70*w**2 + 4*w - 4. Let k(z) = 209*z**2 + 13*z - 13. Give -2*k(j) + 7*t(j).\nAnswer: 72*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -139999*l**2 - 2*l + 1. Let r be (0 - -1)*(-4 - -5). Let v be j(r). Round v to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 22638279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**34)\/p*p**(-1\/10)*p*(p\/(p*p*p**(-2\/47)*p*p))\/p**(-20) assuming p is positive.\nAnswer: p**(-7547\/470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-27)*3*(-120)\/(-140).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 9 = -3*g + 3, 5*g + 25 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 2 = -i. Let b = 20.2 - 20. What is the closest to -0.1 in i, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173724360?\nAnswer: 2, 3, 5, 17, 85159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111100110110011010 (base 2) in base 13?\nAnswer: -14b9c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -4 + 0 + 7. What is the tens digit of (-450)\/(-14) - l\/28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7539, -7651, -7837, -8097, -8431, -8839, -9321?\nAnswer: -9877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59237801647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6594*d + 6597*d = 6*i + 36, 0 = 5*d - 4*i - 36 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4)*(3 - 3 - 3*n)*(3*n**3 - 5*n**3 - 3*n**2 + n**2).\nAnswer: -12*n**4 - 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 36*d**3 - 10252 - 4224*d - 147*d**3 - 1702*d**2 + 7180 + 442*d**2 - 3*d**4 = 0?\nAnswer: -16, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 14547.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -4*d - 677. Let a be d\/(-32) + 2\/8. Solve -i + 3*i + z = 8, 3*z - a = 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 139*p + 16. Let m be t(-5). Let k = -390 - m. Suppose 0*q - 3*h = 5*q - k, -2*h - 181 = -3*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p - 2. Let l(y) = 9*y + 3. Let z(c) = 3*l(c) + 5*o(c). Suppose 6*n + 3 = 7*n. Calculate z(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t**2 + 5*t - 4. Let q(p) = -30*p**2 - 22*p + 19. Let m(j) = -3*q(j) - 14*w(j). Determine m(-3).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a586 - 2?\nAnswer: a584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 6941311.45 to the nearest one thousand.\nAnswer: 6941000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 7253*f**2\/2 - 3818*f - 10083. Differentiate i(n) with respect to n.\nAnswer: 7253","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.288 + 7.2709\nAnswer: 6.9829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxxxxj. What is prob of sequence jx?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9984 = -73*m + 86*m. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j - 29 = 41 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -21 + 13 - (2 + 3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.29779 times 5?\nAnswer: -116.48895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - i. Let d(r) = -2*r**2 - r + 6. Let u(n) = 3*a(n) + d(n). Let c(x) = -x**3 - x**2 + 3*x - 4. Let b be c(-3). What is the tens digit of u(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -367348, -367277, -367074, -366673, -366008, -365013?\nAnswer: -363622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 21*x**2 + 44*x + 85. Calculate the remainder when 221 is divided by b(23).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 203, 193, 177, 155, 127?\n\"Answer: -3*h**2 - h + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/3)\/((-2)\/3). Let j(q) = q**2 + q - 1. Let h be j(o). Which is smaller: h or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4616745 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4899*h**3 + h. Let a be (-1)\/(-6) - (-49)\/(-42). Let d be l(a). Round d to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -2395*l**3\/6 + 71*l**2\/2 + 2*l + 13. Is n(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-7))\/(10500\/7350) + -1*13\/46?\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1235*k**6 + k**3 + 6*k**2 - 8*k - 4.\nAnswer: 148200*k**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3*3*(1 + sqrt(243)))**2 + -4 - -1*4*(sqrt(243) + 1 + -3)).\nAnswer: 1494*sqrt(3) + 19747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26679*s - 26657*s - 176 = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2848 - -1?\nAnswer: 2849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 46 - -370294?\nAnswer: 370340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-550)\/(-8)*1\/5*8. Calculate the highest common divisor of 286 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b (base 15) to base 9\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 + 37 - 10*p**3 + (2*p**2 + 3*p**2 - 9*p**2)*(-3 - 6*p + 3) in the form g + w*p + j*p**2 + z*p**3 and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*p - 5*w - 565, p - 75*w + 73*w = 1 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - m**2 + 74*m + 120. What is the remainder when l(0) is divided by 97?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -34.778 + 32.7957. Let w = 0.0177 - j. Does -43 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 5:29 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 9*q**2 - 689*q - 313. Calculate g(77).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*s - 2252 = 944*s - 156103 for s.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35520 = 338*j - 348*j. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.046546 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 36 - (37 + -5 - 22)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26*c**2*h + 97*c**2 - 3*c*h**2 + 3*c*h + 33*c - h - 2 wrt h?\nAnswer: -26*c**2 - 6*c*h + 3*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 11*h**2 + 32*h + 27. Let g(n) = -4*n**2 - 11*n - 9. Let w(k) = 8*g(k) + 3*t(k). Let s be w(-7). Factor c**2 - c**2 + s*c**2 - 2*c.\nAnswer: 2*c*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/12*6 + 11\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43011 plus 1235.3?\nAnswer: -41775.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**5\/15 + 28*h**4\/15 + 14*h**3\/3 - 20*h**2\/3 = 0.\nAnswer: -10, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4657, -5, 64, -4.\nAnswer: -4657, -5, -4, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -34.85 and -0.06412466.\nAnswer: -34.91412466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.5, 127, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, 0, -0.4, -0.05688, -2, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*f - 15 = 0. Which is the nearest to f? (a) -3 (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**2 - 3852*n + 3848 = 0. Calculate n.\nAnswer: 1, 962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1592 and -57\/14.\nAnswer: 11144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507 is divided by 130.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*j - 4*j + 32, 2*j - 34 = -5*s. Let f be 4 + j + 1*-3. Solve 3*h = -h + f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2044148 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.424836l to millilitres.\nAnswer: 424.836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**5 + 10*f**4 - 10*f**2 + 5*f = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 5:17 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 704 and 396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 8:45 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 10:27 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - 6515. Round v to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (294\/4)\/((-10710)\/(-6120))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + (-54)\/(-6))*1. Solve 5*s - g - 15 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*k - 459 + 414 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 485184 and 2784?\nAnswer: 14070336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2269, -9013, -20253, -35989, -56221, -80949?\nAnswer: -110173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n - n + 2 - 1 - n. Let j(w) = w**2 + 2*w. Calculate 3*b(v) - 2*j(v).\nAnswer: -2*v**2 - v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756 is divided by 138.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -97123 divided by 1\nAnswer: -97123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5436976 - 5436976 + 6096*h to y + t*h and give t.\nAnswer: 6096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -2 + 14 - (1 + 0 - -13).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 5. Let l be s(-4). Let h be 9*(4\/(-6))\/l. Let t be (0 - -1)*(-18)\/h. Solve 2*v + t*v + 20 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 676 - -52. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 8 + 1 + -6. Suppose -2*a + 3*f = -22, -i*f - 40 = -22*a + 18*a. Solve a*r - 7*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 = -c + 362. Suppose 590*h - c*h = -88. Calculate the least common multiple of h and (2 - -15) + -2 - 1.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128590186 to the power of 1\/2, to the nearest integer?\nAnswer: 11340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g - 30 = 0. Let i = -7 - g. Solve 2*h - 12 = 5*j + 5*h, i = -5*j - 2*h for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, o: 3, e: 6}. Give prob of picking 2 e.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**8\/504 - 4*w**7\/63 + w**6\/90 + 4*w**5\/9 - w**4\/36 - 20*w**3\/9 - 6*w**2 - 5. Solve v(g) = 0 for g.\nAnswer: -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 2*h + 2. Let x be y(0). Solve 1 - 3 = x*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5283 - 0) + 25\/(-1 - 4). What is the hundreds digit of d\/(-39)*36\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/10 of a millisecond?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 6. Suppose 6*o - 10 - p = 0. Solve -u + 4 = u, o*u - 26 = -4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = v - y - 2, -2*y = 10. Suppose 0 = c + v. What are the prime factors of (0 + -1)\/(c\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42297 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1120)\/(-98))\/(-20))\/((-3)\/(189\/6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 837652397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - -5.7959420575.\nAnswer: -9.2040579425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.796598ml to litres.\nAnswer: 0.004796598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92 + 208 + 80)*(2*t + 1 - 1).\nAnswer: 760*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*j**5 - j**4 + 7613375*j**3 + 663*j**2 + j + 22309?\nAnswer: 420*j**2 - 24*j + 45680250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b. Let u(j) = j**3 - 5*j**2 - 5*j - 4. Let l be u(6). Suppose -l*g + 32 = -8. Let t(c) = 23*c + 2 - 2 - g*c. What is h(t(x))?\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 325 or 4555\/14?\nAnswer: 325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (21\/7 + -6)*(-28)\/(-12). Let w(n) = 14*n**3 - 5*n**2 + 5. Let x(p) = -21*p**3 + 7*p**2 - 7. What is h*w(k) - 5*x(k)?\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2462274.\nAnswer: 2, 3, 29, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16311 and 36098?\nAnswer: 52409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.62 + -1. Let j = b - -3.98. Round j to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 301 + 2*u - 4*u**2 - 302 + 0*u**2 + 2*u**3 + (6*u**3 + u**3 - 14*u**3)*(-4 + 0 + 2).\nAnswer: 16*u**3 - 4*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -b6?\nAnswer: -b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**3 - 61*g**2 - 31*g - 7. Let a be l(31). Let s(k) = -19*k - 127. Let v be s(a). Solve 0 = 26*u - 28*u + v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2519 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11371940 and 25586865?\nAnswer: 102347460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**3. Let c be t(-1). Suppose 9 = 5*r + 3*g - 11, 5*r - 20 = c*g. Sort -3, 0, r in decreasing order.\nAnswer: r, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32707891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*i - 47 = 65*i - 47 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48627 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75601902 or -75601901?\nAnswer: -75601902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2) + 1)*-1.\nAnswer: -2*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54996810 by 33.\nAnswer: 1666570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 + 517\/7. What is the closest to -1\/5 in 1, -0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4249661 is divided by 1962?\nAnswer: 1931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8319838683 to the power of 1\/3, to the nearest integer?\nAnswer: 2026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + (20 - 3 - (-9 + 10))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 6*b**2 + 2. Let o be 7\/1 + -1*1. Let x be z(o). Suppose 0 = -g - x*g + 12. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7809891 minus -0.4?\nAnswer: -7809890.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m**4\/7 + 27*m**3 - 102*m**2\/7 - 72*m\/7 = 0.\nAnswer: -2\/5, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6307?\nAnswer: 7, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2 + w. Let z be b(-1). What is the second derivative of -39*g**2 + 10*g + 2*g + z*g**2 wrt g?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 783.4145 millilitres in litres?\nAnswer: 0.7834145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5*f - 792, 11*t = 6*t + 2*f + 2001. Calculate the remainder when t is divided by 101.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2991 - -2994. Solve -v*p - 21 + 12 = -4*c, 3 = -p - 3*c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -873 divided by -37934.\nAnswer: 873\/37934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 22. Let p(r) = r**2 - r - 5. Let q be p(4). Suppose q = 4*c - 5. What is the lowest common multiple of c and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23940 divided by 63?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -51 - (-5 - (-9 + -14 + 7)) - 18\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -19, 42, -3, 1, 5 in decreasing order.\nAnswer: 42, 9, 5, 1, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-109)\/(-2) + 153\/102. Is 1*((-88977)\/(-24) - 21\/o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2 + 73348*j - 672491138 = 0. What is j?\nAnswer: 18337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107\/(377817\/(-107))*3\/2.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-1 + 1*(1 + sqrt(847)) - (4 + sqrt(847) + 1*sqrt(847) + sqrt(847))*6) + 3)*2)**2.\nAnswer: 920040*sqrt(7) + 24538816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*i + 5152, 0 = -2*i - i + 5*y + 7752. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23728?\nAnswer: 2, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 1\/10*k**5 + 0*k**3 - 1\/15*k**6 - 1\/21*k**7 - k + 0*k**2 + 0 + 1\/6*k**4. Solve x(n) = 0 for n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 5*y - 25, 5*b + 2*y - 7 = y. Suppose -4*i + 8 = b*r - 6, 3*i - 16 = 4*r. What is the smallest common multiple of i and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*g + 2 - g + 3*g)*(-10*g**3 - 2*g**3 - 6*g**3) to i*g**2 + f*g**3 + t*g**4 + h*g + z and give f.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 521, 1934, 4677, 9194, 15929, 25326?\nAnswer: 37829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*b**2*q**2 - 11*b**2 - 6*b*q - 136*b + 28121746*q**2 wrt b?\nAnswer: 16*b*q**2 - 22*b - 6*q - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 24.38 and -3.\nAnswer: 21.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 292059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -130056 + -48?\nAnswer: -130104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10790, -10785, -10778, -10769, -10758, -10745, -10730?\n\"Answer: p**2 + 2*p - 10793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p - 2*p**4 - 4748 + 9506 - 4750 + p**2 + 2*p**4 + p**4 to the form b*p**3 + c + g*p**2 + q*p**4 + o*p and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, 8, -2, 5, -4, -48 in increasing order.\nAnswer: -48, -7, -4, -2, 0, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1\/31)*a*a)\/(a\/((a\/(a**(-3)\/a))\/a)*a*a)*(a**(-5))**30 assuming a is positive.\nAnswer: a**(-4525\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 259284701 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/13 + 198184508*r\/13 - 4909637401400258\/13.\nAnswer: -2*(r - 49546127)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011101101111010111101 (base 2) to base 16.\nAnswer: 2edebd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1732829330 to the power of 1\/2, to the nearest integer?\nAnswer: 41627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 159199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 228*f - 10241. Let u be r(47). Calculate the greatest common divisor of 1625 and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1633*m**5 - m**3 + 59772*m wrt m.\nAnswer: 32660*m**3 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/5970445 and -47\/455.\nAnswer: 41793115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 7*s. Let q be a(6). Is q bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2417 - 5415*g**2 + g - 2417 as a + n*g**2 + m*g and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74202 and 26820.\nAnswer: 2226060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208 - 2*i - 82663*i**2 - 5*i**3 + 82663*i**2.\nAnswer: -5*i**3 - 2*i + 208","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12769636757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c*c**(-16)\/c*c)\/c**(-8))\/((((c*c*c**2*c*c)\/c*c*c)\/c)\/((c\/(c**(1\/22)\/c))\/c*c)) assuming c is positive.\nAnswer: c**(-199\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -147, 2\/7, -2\/11, -1\/6 in decreasing order.\nAnswer: 2\/7, -1\/6, -2\/11, -0.2, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20113722 and 27639.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 44\/396 - 8\/(-9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -3*x + 2*z - 12, x = -4*z + 6 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3364451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -455967?\nAnswer: -1\/455967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 25 = -367*h + 363*h, -82 = 3*m + 13*h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 5*k - 20, 0*k + 8 = 2*k + 3*l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300175153?\nAnswer: 300175153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 6:06 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4493, -35828, -120883, -286520, -559601, -966988, -1535543, -2292128?\nAnswer: -3263605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 359 - -6?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 12 = -p. Let v(z) = -10*z - 13 + 5*z + 0 + 9 - 2*z**3 - 5*z**2. Is 20 a factor of v(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 2*v - 43. Solve 2*j = -w - 6, -2*j = -v*w - 0*j + 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1012958, 1013144, 1013330, 1013516, 1013702?\nAnswer: 1013888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22813481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64\/(-34)*-186 + 214\/(-1819) is divided by 71?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6853 a multiple of 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21432785?\nAnswer: 5, 11, 389687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o**2 + 2*o. Let m be d(-4). Suppose 4*x - m = -x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2887365 is divided by 3950.\nAnswer: 3865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -9*n**2 + 3*n + 11. Let s(j) = -27*j**2 + 8*j + 32. Let k(x) = -3*s(x) + 8*w(x). Differentiate k(b) wrt b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 370274864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -5, 5, -6, -39 in increasing order.\nAnswer: -39, -6, -5, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5\/15 - 922*h**4\/15 + 2586*h**3 - 37890*h**2 + 187200*h.\nAnswer: 2*h*(h - 416)*(h - 15)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 155?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-789)\/(-189) + 2430\/(-567)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-1 - -6) - -16 - 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -247 - -251. Calculate the greatest common factor of 164 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 78*a**2 + 153*a + 5. Let f(p) = 73*p - 1. Let b(q) = 2*f(q) - h(q). Let r(z) = 39*z**2 + 4*z + 4. Determine 4*b(o) + 7*r(o).\nAnswer: -39*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 1914128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckv when three letters picked without replacement from {z: 7, c: 1, k: 1, v: 3}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 39*d**2 + 36*d + 75. Calculate y(38).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -2154169.\nAnswer: -2154168.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 7*k**2 - k - 5. Let b(y) = -y**2 - y - 7. Let t be b(0). Calculate a(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -681.000368 - -681. What is h rounded to 5 decimal places?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/3)\/((l*(l**0*l)\/l)\/l)*(((l**(-2)\/l)\/l*l)\/l)**(2\/9) assuming l is positive.\nAnswer: l**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*z - 12*z - 32. Suppose -81 = 3*d - z*d + 3*g, -4*g = 8. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 618.634nm?\nAnswer: 0.618634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -51*o**2. Let q(d) = -10*d. Determine q(p(t)).\nAnswer: 510*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s - 3. Determine c(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.4 minus -370.36?\nAnswer: 335.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 241, 5, -630 in increasing order.\nAnswer: -630, -4, 2, 5, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*2\/4 + 10*4. Solve -28*q**3 + 36*q**2 - 10*q**2 - 16*q - 2*q**2 + b*q**2 = 0 for q.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -18*b + 44. Suppose 2*f + 8 = -5*m + 3, 20 = b*m. Suppose 11 = -5*u + 3*r, -2*u = 2*r - 1 - 1. Put -3, f, u in descending order.\nAnswer: u, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 4*o + 5. Give x(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**4 + 157*b**3 - 737*b**2 - 3.\nAnswer: -72*b + 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) 1\/12 (c) 0.03 (d) -4 (e) 1\/3 (f) 16\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.2315 - 8.2315056947. What is g rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (70\/15)\/(1\/9). Let c be (-2)\/(-6) - l\/(-9). Suppose 0 = -c*i + 32 + 63. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (44\/11 + 0)*(2 + -1). Suppose -5*d = -f*a + 5*a - 270, a + 2*d - 279 = 0. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2 + 4*d + 0*d**3 - d**3 + 3*d**2 - 2*d. Let t = -12 + 10. What are the prime factors of h(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -130 + 141. Is 126\/11 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g + 6. Suppose 4*a + 4*n + 59 = -917, -5*n + 232 = -a. Let l = 248 + a. Let p(f) = f. Determine l*p(y) + s(y).\nAnswer: y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 249da5 (base 15) in base 10?\nAnswer: 1754705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven halves of a millisecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 976 - 640. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*z)*(-3*z + z + 0*z)*(6689*z + 6642*z - 13815*z) + (-5 + 5 + 3*z**2)*(4 - 4 + 3*z).\nAnswer: 1945*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31640502?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 12732*x + 2515*x - 1604*x + 19790*x in the form o*x + g and give o.\nAnswer: 33433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/9 - 1108*g**2\/9 - 28644*g + 3136320.\nAnswer: -(g - 80)*(g + 594)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*r + 19*r = 156. Let l(t) be the first derivative of -t**2\/2 - 9. Determine l(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)*1*4 - (sqrt(119) - 4*(1*sqrt(119) - sqrt(119))))\/(sqrt(1792)*-2))**2.\nAnswer: 153\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.7 + -3. Let w = -10 - -9. Let s = -4 + w. What is the second smallest value in t, 5, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**2 - g + 1. Let r be w(1). Suppose 0*i + y = 3*i - 6, i = y. Suppose -i*l = -2*l - 1. Which is the closest to -1\/4? (a) r (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1.7. Let s = -1.25 - i. Let z = s - 0.7. Round z to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 534 - 72. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6871652641\/995553 + 876579\/127. Let s = 2\/603 - o. What is the biggest value in s, -4, -3, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/9*2565\/190*1\/(-9).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -40368928 divided by -464?\nAnswer: 87002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 11*x**3 + 2*x**2 - 2. Let c be z(1). What is the greatest common factor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b - 145 = 72 + 47 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggngbgtbxxxgege. Give prob of picking 1 g, 1 b, and 2 e.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 536937 - -70.31.\nAnswer: 537007.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41\/4 + 3\/(-12) is divided by (-10)\/(-2) + -4 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = 4*d. Let y = 14.95 - 15.95. Which is the closest to d? (a) -0.2 (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*-1*1*(-22)\/(-1045). Let m = -16 - -14. Which is the third biggest value? (a) -3 (b) 2\/3 (c) m (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 4:46 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 16. Let z = b + 58. Suppose 0 = -3*w - 3*p + 9, 4*p - 3 + 0 = -w. Solve -5*x = -w*y + z, 3*y + 2*y - 9 = -4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 17195, -7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 107821600 to the nearest one million.\nAnswer: 108000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 579822487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3640713 and 402.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000111000010001010 (base 2) in base 12?\nAnswer: 2280b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*p**2 + 1)*(-2 + 3 + 1 + (16 + 3 + 54)*(4 - 1 - 2))*(p**2 - 3*p**2 + 0*p**2) in the form b + j*p**2 + y*p**4 + v*p**3 + f*p and give y.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3232 or -3354?\nAnswer: -3232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w - 24 = 0. Let u be (-7 + 2)*(-172)\/(-10). Let s = u + 91. What is the remainder when w is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 79.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 2. Let t(i) = -7 + 3 - 3*i + 8*i - 7. Suppose 5*u + 28 = 4*y - 36, -4*y - 4*u + 28 = 0. Let z(d) = y*j(d) - 2*t(d). Determine z(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24245 at least as big as 24310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -51 - 11*f + 3*f + 52 as s*f + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*p = -12. List the prime factors of 2 - (1 + p + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919481197.\nAnswer: 24091, 38167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -2.1. Round k to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -8) + (20 - 25).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200076 (base 8) to base 7.\nAnswer: -362151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(3 + 0 - 2)*(u**2 + 4*u - 4*u)*(35 + 15 + 24).\nAnswer: -148*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 32*v**2 + 61*v + 65. What are the prime factors of u(-30)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-4 + sqrt(539)*-1)*-6 + -3)**2.\nAnswer: 1344*sqrt(11) + 19660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4 + 1 - 3*q + q - q. Suppose u = -2*u - 15. Is z(u) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00027565305 rounded to 7 decimal places?\nAnswer: 0.0002757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/14)\/o)\/((o\/(o\/(o\/(o*o\/(o*o**(-10))))*o*o))\/o))\/((o\/(o\/(o\/(o*o**15))*o))\/(o**(-1\/12)\/o*o)) assuming o is positive.\nAnswer: o**(2351\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**3 - 118 + 61 + 57.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7312232581 to the nearest integer?\nAnswer: 85512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/92545 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/107 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6141 - -42?\nAnswer: -6088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.7 (b) 6\/13 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 33822.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*c - 19 = -4, -5*m + 3*c + 40 = 0. Suppose 3*x = 2*x - m. Suppose 2*j + 4 = -2*h, -5*j - 34 = -h - 0*h. Is x <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*p - 144 = 150*p. Let h be (-149)\/(2\/8*-2). Let l = 583 - h. What is the remainder when l is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-7))\/(386\/52689*-39)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12472553 and 601?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 29062*x - 3 - 2 + 28040*x - 57102*x + 5.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 - 21311002203?\nAnswer: -21311002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42024494 and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 4*x - 10 = 0, 3*x + 10 = -5*v - 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (132\/(-88))\/(((-390)\/(-3068))\/5)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(-24)*(o**(-5\/2))**(-12\/7) assuming o is positive.\nAnswer: o**(-138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -271 - -276. Suppose 3*c + 0*g = u*g + 885, 2*c + 2*g = 574. What is the least common multiple of c and 20?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86341461?\nAnswer: 3, 37, 21023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-42) + 0)*(-49 - 107\/(20972\/(-11319))).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2644415?\nAnswer: 5, 528883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3, -l - 4*n - 13 + 2 = 0. Let c be -1 + 0 + (-20)\/l. What is s in 4\/3*s**5 - 3*s**4 + 8\/3*s**2 - 2*s + c + 2\/3*s**3 = 0?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 107 + -107. Let f(j) = j**2 + j + 4. Determine f(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0 + 0)*(2 + 4 - 4 + (-1 - 1 + 4)*(2 - 2 + 1)) - 40 + 40 - 11*i.\nAnswer: -19*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 212264040 by 5.\nAnswer: 42452808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -119.64 + -4.86. Let m = k + 124. What is the second biggest value in 0.4, -1.41, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 + -51.03. Let y = -89 - -94. Suppose -2*f + 11 = -y*n + 3, -3*f - n = -12. What is the biggest value in i, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 110*i*j**5 - i*j**3 + 276*i*j - 2*j**5 + 1 wrt j.\nAnswer: 2200*i*j**3 - 6*i*j - 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = 332*y - 372*y. Suppose v - 1 = 1. Let o(k) = -4 - v*k + 6*k - 5*k. Give o(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*(-6)\/12*4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7657?\nAnswer: 13, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (2 - (-7 + 5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1897 is divided by 919.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -930?\nAnswer: -931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6\/((((z\/(z*z**(-3\/5)*z))\/z)\/z)\/z))\/(z**(-2\/3))**32 assuming z is positive.\nAnswer: z**(461\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*z - 31, -3*z - 3 = 3*h - 24. Suppose -3*n - 2*k + 2 = 0, -2*k + 50 = -2*n + 48. Suppose 0 = -3*s - 12*s + 3*s. Solve q + z + n = s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 114\/(-7)*269\/(-2). Let v = 2183 - o. Find the common denominator of -32\/9 and v.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 5:46 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14327 divided by 64\nAnswer: 14327\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 14*s**3 - 5705*s**2 - 6*s - 119. Let g(m) = 5*m**3 - 1902*m**2 - 2*m - 42. What is -6*d(l) + 17*g(l)?\nAnswer: l**3 + 1896*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + -4 + (9 - 4) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.999 + -0.001. What is the nearest to d in 3, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.423*0.1.\nAnswer: 0.0423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 499 and 1895202?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + (-1 + 0)\/1. Let r = 1.3 - -1.7. Let j = -2.4 - -0.4. Which is the third smallest value? (a) r (b) z (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -88, 32, 33, -3 in decreasing order.\nAnswer: 33, 32, -3, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 205 - 189. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -11 and 387 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 3*u - 4*u = -3, 0 = -5*o - u + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3)*(4*f - 5*f + 0 + 2) + (-1 + 2 - 6)*(-2*f - 1 + 1).\nAnswer: 7*f + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -281290 divided by 1\nAnswer: -281290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0, -4, 3, -3 in descending order.\nAnswer: 14, 3, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 14) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2 = 2*u + 4*w, -4*u + 8 = 4*w. Let k = -5.6 + 6. Let y be ((-2)\/(-6))\/((-4)\/6). Put k, u, y in increasing order.\nAnswer: y, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4928 and 205688?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(9\/(-75)*-5)\/(24\/20).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**4 + 940*i**3 + 24310*i**2 - 8460*i - 218385 = 0 for i.\nAnswer: -23, -3, 3, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 21 - 14)*36\/(-16)*-2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 u when three letters picked without replacement from eenneueeza.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9068 + 10076. What is the remainder when o is divided by 78?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a kilometer in meters?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(-6\/5))\/(((d\/((d**12\/d*d)\/d))\/d)\/d)*d**15*(d*d**(-3))\/d assuming d is positive.\nAnswer: d**(136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 - n**2 - 37786 + 0*n**2 + 58*n**3 + 37786.\nAnswer: 58*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(2 + (-27)\/12). Let x(g) = 6*g + 1. Suppose 23 = -2*c + 75. Calculate the remainder when c is divided by x(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + 0.5. Let z = x + -0.1. Let n = 22 + -19. What is the closest to -1\/3 in -0.3, z, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 347418050 and 350?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -963 - -963. Suppose 2*z - 80 = 4*c, -61 = -5*z + 3*c + 125. Suppose n = 7*q - z + 1. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 16*s**2 - 9*s + 10. Let p be c(-16). Let w(v) = -v**3 - 8*v**2 - 12*v - 21. Let q be w(-7). What is the greatest common factor of p and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 28. Let z(i) = i**2 + 17*i + 49. Let n be z(-14). Which is the fourth biggest value? (a) u (b) 1\/3 (c) n (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.4 - -15.7. Let j = 23.23 + 24.77. What is the biggest value in 5, o, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/30 + (-73)\/105. Let q be 9\/6*(-4)\/(-3). Let t be 3\/(-14) - q\/7. Which is the closest to -2\/5? (a) -2\/13 (b) t (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1428286516 to the power of 1\/3, to the nearest integer?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 211410 and 150336.\nAnswer: 4698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 4*v - 19, -4*s + 2*v - 4 = -0*v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/19, -0.1, -1, 0.3, -23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*j = 9 + 1, 0 = -f - 2*j - 2. Let n be ((-1)\/f)\/(3\/18). Let o(t) = -t**n + 2 + 1 + 3 - 3*t + 5*t**2. Calculate o(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w. Let v(j) = 98*j + 9. Let b(f) = 96*f + 10. Let c(g) = -6*b(g) + 7*v(g). Determine c(h(o)).\nAnswer: 220*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 23722903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2646 is divided by 369?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1024) + sqrt(1024)*1 + sqrt(1024) + sqrt(1024))*-3*3)\/(-4*(sqrt(1152) - (sqrt(1152) + 2*sqrt(1152) + sqrt(1152)))*1))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c**5)*c**(5\/4)*c**(-3)\/c**(-6))**(7\/8) assuming c is positive.\nAnswer: c**(7\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, b: 13, e: 2}. Give prob of picking 1 e and 2 b.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16820 - 4?\nAnswer: 16816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3721498 (base 11) in base 5?\nAnswer: 3124120434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*m**4\/4 + 18150*m**3 + 120939*m**2\/4 - 72585*m = 0. Calculate m.\nAnswer: -8065, -3, 0, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2112 - -2116. Which is the closest to 0.04? (a) x (b) 5 (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.36688 centuries to millennia.\nAnswer: 6.936688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 - 61 - 412 + 0*g**2.\nAnswer: -g**2 - 473","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328 is divided by 104.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = -3*l + 11*m + 5, 4 = 2*m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 20 = 0, -2*v + 73231 = 12*c - 15*c. List the prime factors of v.\nAnswer: 53, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3312)\/112 + (-9)\/21\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1268*n - 1256*n - 72 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.43, -3777, -7, -4, 1\/2.\nAnswer: -3777, -7, -4, -2.43, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.05 and -3362402.\nAnswer: -3362401.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -15. Which is the third smallest value? (a) i (b) 5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423234 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 321 + -169. Let k = -149 + p. Solve 4*c = -5*j - 15, 5*c - 7*j + 29 = -k*j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**2 + 37 + t**2 + 29 - 4*t**2.\nAnswer: 5*t**2 + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-60) - 2224\/160\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45 + 1508\/52)\/2?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2261*h - 4. Is y(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 312 and 312.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d**3 + 2*d - 2. Let u(v) = -v**3 - v + 1. Let i(k) = -2*k**2 - 21*k + 9. Let c be i(-11). What is c*u(s) - a(s)?\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 869730443?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -18. Suppose 0 = -4*p + 3*p + 56. What is the highest common divisor of b and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -3\/8 (c) -1 (d) 8 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*w + 20*w = -26*w - 7111 - 6431 for w.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 4*z + (-1 + 1 - 2 + (-2 - 2 + 2)*(-2 + 1 + 2))*(-2*z + 13 + 17 + 36).\nAnswer: 12*z - 264","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 4. Let h(a) = -4*a - 3. Suppose 2*p - 6 = 2*f, 0 = -2*f + 3*p - 8 + 1. Let n be h(f). Give c(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 8*d + 22474 - 48359 + 25879 + d**2. Suppose -4*y - 17 - 15 = 0. Calculate o(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) 0.2 (c) -1\/3 (d) 0.57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8789 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khhlhkhhhkkkhk. Give prob of picking 2 k and 2 h.\nAnswer: 45\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**2 - 3*g. Let f(w) = -w**3 - w**2 - w - 1. Let u(q) = f(q) - z(q). Let a(v) = 2*v**2 - v. Let i be a(-1). What is the units digit of u(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b - 2. Let u be x(2). Suppose -90 = -4*h - 4*s + 6, -h - 4*s + 15 = 0. Suppose -g = u*g - h. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**3 + 2*v**2 - 10. Suppose 0 = o - 3*f - 4, 3*f - 1 = -2*o + 4*o. Let x(s) = s**2 + 0*s**3 + 10 - 8 - 2 - 2*s**3 - 5. What is o*x(u) + 3*b(u)?\nAnswer: u**3 + u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 166410.1 rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-150)\/875*7\/1)\/(((-47658)\/(-195))\/(-26))\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -34.6, 11\/7, -3, 972, -0.2 in descending order.\nAnswer: 972, 11\/7, -0.2, -1, -3, -34.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p - 3. Calculate k(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -601*u**3 - 38 + 0*u**2 - 2*u**2 - 5*u - u**4 + 599*u**3 + 4*u to n*u**4 + z + y*u + h*u**2 + d*u**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12627 = -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 45254016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 15*v**4 + 85*v**3 + 105*v**2 + 15*v - 20 = 0?\nAnswer: -4, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340884 (base 9) to base 3.\nAnswer: 101100222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 3*z, 4*j + 5*z + 344 = 389 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003373044 to seven dps.\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*m + 2. Let h(v) = v**3 + 2*v**2. Let y be h(-2). Is (-1 - y - m)*12 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4025598*i - 16102388. What is w(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (74 - (-3 - 7)) + (-7 - (-17 + 25)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 44*z**3 + 16*z**2 - 12*z - 16. Let j be b(-12). What is j rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + 1. Suppose 0 = -w*r + 49*r - 30048. List the prime factors of r.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2670\/225 - (0 - -12). What is the closest to 17.4 in -2\/7, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**5\/8 - 135*d**4\/4 + 777*d**3\/2 + 210997*d**2\/4 + 5913693*d\/8 + 3512169\/2 = 0. What is d?\nAnswer: -276, -19, -3, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 2*i + 46, -203*c + 201*c = 4*i + 116 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6471712*p**2 - 1 + 1 - 6471710*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**3 + 2*y**2 + 6*y + 10. Let f(w) = 4*w**3 - 3*w**2 - 9*w - 12. Let b(o) = -2*f(o) - 3*p(o). Calculate b(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*g**2*j**3 + 2*g**2*j + g**2 + 103*g*j**3 + 260*g*j + 2*j wrt j?\nAnswer: -96*g**2*j + 618*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(864) - -1*sqrt(864)) + sqrt(216)\/sqrt(81))\/((sqrt(288) + sqrt(8))*-4 + 2*sqrt(72)).\nAnswer: -37*sqrt(3)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1585836, 1585837, 1585838, 1585839, 1585840?\n\"Answer: v + 1585835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 23099e (base 15) to base 7\nAnswer: 20134652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 363 - 31 = 4*g, 3*g - 244 = 5*z. Calculate the greatest common divisor of g and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37.7 - -18.8. Let a = p + 15.9. What is the nearest to 2\/7 in -0.2, -3\/8, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-12) - 1\/4)\/(-1). Let p = 15 - j. What are the prime factors of (168\/(-10))\/(p\/(-50))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -27. Suppose z*v - 2*v + 286 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3133474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 239608 and 8.\nAnswer: 239608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*p - 4*p. What is the lowest common multiple of p and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -z - 2*t + 9, 0 = -2*z + 4*t - 22 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/7 - 333*i**2\/7 - 978*i\/7 - 648\/7.\nAnswer: -3*(i + 1)*(i + 2)*(i + 108)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z. Let g be t(0). Suppose g = -b - 2*c - 2, 3*b + 4 = 5*c - 13. Suppose -5*s = 3*d + 34, -s + 0*s = -5*d - 10. Put -5, b, d in ascending order.\nAnswer: -5, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -201? (a) -0.3 (b) -1 (c) -1\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103227 - -163027. Round l to the nearest 1000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.45 + -0.05. Let h = 1.3 - d. Let o = 0.8956 - h. Round o to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*3*((-1 + sqrt(468) + 5 - (3 + 1*sqrt(468))) + 4 + sqrt(468)*-2 + -5))**2.\nAnswer: 2426112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 45962 divided by -11\nAnswer: -45962\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p - 2*p + 138 = 0. Let w(y) be the first derivative of y**3\/3 + 3*y**2 - 5*y - 24. What is w(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/11 (b) 0.1 (c) -0.225 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -588 by 4.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*q + 26*q + 8 = -8*y, 4*q + 2 = -2*y for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - (4*-2*sqrt(80))**2) + 2.\nAnswer: -5118 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/13650 and 89\/5460.\nAnswer: 27300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -331430 > -331427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 574620?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from njdn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 13*v**2 + 3*v + 38. Let a be f(-13). Let y be (2\/(-1))\/((-24)\/16 - a). Solve -9*b + 20 = -y*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 5*l - 48 - 2, -2*a - l + 2 = -0*a + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4367\/(-1985) + (-12)\/(-10). Let s(l) = -4*l**3 - 2*l**2 + 6*l - 2. Let w(n) = -n**3 + n. Give v*s(z) + 5*w(z).\nAnswer: -z**3 + 2*z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r**2 + 8*r - 5. Let f be n(5). Suppose 6*v + 66 = f. Calculate the lowest common multiple of 27 and v.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 112 + -118. Let o(v) be the first derivative of -v**4\/4 - 7*v**3\/3 - 7*v**2\/2 - 3. What is o(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1799*h**6 + 2312*h**2?\nAnswer: -215880*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -11*o**2\/2 - o + 3. Let k be 90\/(-27)*(-6)\/8*2. Suppose -7*z + 2*z + 14 = -3*w, 2*z + k*w + 13 = 0. Calculate r(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t = 165 + 51. Are t and -150\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*i = 3. Let l = 0 + 0. Suppose 4*p = 3*p + 4. Put l, i, p in decreasing order.\nAnswer: p, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 15*w**2 - 13*w + 4. Let j be i(-14). Let c = j - 387. Let l(n) = 5*n - 6. Give l(c).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 19443290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 8*a**3 + 64 - 3*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 622607 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -5\/483 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14458, 14345, 14260, 14215, 14222?\nAnswer: 14293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/7020 and -163\/390?\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2399359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -977.\nAnswer: -975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116 + 119. Solve -4 - 8 = p*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -166.\nAnswer: 1\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(((-15)\/(-70)*-2)\/((-280)\/(-735))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 210\/55 + 2\/11. Solve 0*k = -k - s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/(-4) - 105\/140.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 12 (c) -0.0283 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(((-2)\/3)\/1). Let d(p) = -20*p - 2. What is the remainder when d(f) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2043 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/26*(-16)\/(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.31 (b) -92 (c) -200 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**26*k**(3\/4))\/(k\/k**(2\/13))**41 assuming k is positive.\nAnswer: k**(-413\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 85\/6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 396*y**2 + 13039*y - 27. Determine z(-33).\nAnswer: 930","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 3 = 13*k. Let y be 80998 + (-1)\/k - -3. Round y to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -1, -3, 0.11, -0.2, -27139?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49800162 = -2*o - o. Let m = -7300054 + o. Round m to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -6. Let y be 1\/1 + -9 + 14. Suppose 36 = 3*g - 3*r, 0*g + g = -t*r - y. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y + 101 - 101)*(-32 - 171 - 80 - 38 + 43) in the form f + p*y and give p.\nAnswer: -834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 380258, -22, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-254)\/6*-7. Let x = o + 287. Which is bigger: -8 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94371757?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 155110 and 5600.\nAnswer: 86861600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by 17.\nAnswer: -40\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -616*f + 284582 = 5336*f + 54156 - 215974 for f.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7}. Give prob of picking 2 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1891 - 1864. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129050 or 1?\nAnswer: -129050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -22, -123, -394, -919, -1782, -3067, -4858?\n\"Answer: -14*a**3 - a**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*p + p = 23, s - 13 = -4*p. Solve 0 = -2*h + s*k - 16, -k - 7 = h - 3*k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -118 and 14 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -3 - 2) + -7 + -7214 + 7173.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 g, and 1 j when three letters picked without replacement from {z: 5, j: 1, g: 6, e: 3}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 149 = -a - 5*i, 3*i = 6. Suppose -3*v = -39 - a. Suppose -q = y - v, -4*y + 198 = -y - 3*q. Calculate the greatest common factor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 49. Suppose 32 = 3*o - h*c, -4*o = 3*c - 8 - 29. Let l be (-6)\/15 + (-34)\/(-10). Solve -l*f - 2*f - o = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*u = 55*u. Solve 28 = -p + 4*p + 4*d, p - 4*d + 12 = u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3224162, -6448349, -9672536, -12896723, -16120910, -19345097?\nAnswer: -22569284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or 29?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 12 + 75 = 0. Calculate the remainder when u is divided by 18\/21*(-112)\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 17 (b) 0.3 (c) -1\/114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -214*q**4 - 2*q**3 + 2456*q**2 + 82154295.\nAnswer: -856*q**3 - 6*q**2 + 4912*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2510 + 2706. Calculate the greatest common divisor of 364 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35300527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 3:36 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/165 and 83\/468.\nAnswer: 25740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 44 = 5*u, u - 60 = -18*b + 17*b. What is the remainder when 831 is divided by b?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -f - 4*w + 2, -5*f - 3*w = 17. Suppose -3*v - 16 = 44. Let z = 5 + -3. Sort v, f, z, -3 in decreasing order.\nAnswer: z, f, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2955521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77854*n**2 + 38955*n**2 + 38900*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 7*q**2 - q - 16. Calculate b(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from ljlxxxx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26015441 (base 7) to base 13.\nAnswer: 646c85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from xbwpbbhxwbxph.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24576863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -21. Let i(x) = -7*x + 6. Let z(r) be the second derivative of -r**3 + 5*r**2\/2 - 2*r. What is k*z(t) + 5*i(t)?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, b: 9}. Give prob of sequence nbn.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409840 is divided by 2628?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*h**2 + 0 + 1\/5*h**3 - 12\/5*h.\nAnswer: h*(h - 3)*(h + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**2 + 162*z**3 + 310 + 0*z**2 + 0*z**2 - 310 = 0. Calculate z.\nAnswer: -1\/54, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8554 - -8557. Suppose f = 4*w - 9, w = -2*w - f - 2. Let t be (-58)\/(-6) - w\/(-3). Solve -3*u + t = -5*h, 0*h = x*u + 3*h + 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96*0.0165.\nAnswer: -1.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o**4 + 27320*o**3 - 2801046*o**2 - 6347480*o - 1271928 = 0.\nAnswer: -2, -2\/9, 113, 1407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 339 + -4?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/7 and -103\/352.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*t + 225 = 15*t. Solve -106*m + 105*m + 15 = -2*i, 0 = 4*m - t*i - 45 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10501559 is divided by 954687.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-210)*6 + 33\/(-40).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22122220202 - -12?\nAnswer: -22122220120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**2. Let t(u) be the second derivative of u**4\/6 - 7*u. Determine j(t(g)).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 100*y**4 - 99*y**3 - 28108*y**2 wrt y?\nAnswer: 2400*y - 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 8\/5 (b) -4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 18. Let y be 2 - (-2)\/d*4. Suppose 0 = -k - 3*z + y*z + 378, -5*k + 1884 = z. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmpppmmmmpp. What is prob of picking 3 m?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 4. Let q be j(-3). Let f(p) = -19*p + 1. Let x be f(q). Suppose -6*k + k = -x. Solve u = 2*u - k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -1. Let y be 142\/136 - 3\/12. Let w = 1\/170 + y. What is the third smallest value in w, q, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -956930, -956931, -956932, -956933, -956934?\nAnswer: -956935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/7129533 and 89\/1338.\nAnswer: 14259066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2596, 2602, 2604, 2596, 2572, 2526, 2452?\nAnswer: 2344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 8*g**2 - 2*g - 51. Suppose -3*x = -49 - 5. Calculate the remainder when y(-6) is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 25988*v**3 - 25987*v**3 + 21 + 12*v**2 + 3 + 25*v. Let x be f(-10). Is -27 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 6. Let m(y) = -y + 7. Let i = 3 - 9. Let x(n) = i*m(n) - 7*t(n). Let z(g) = -2*g**2. Give z(x(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/3)\/(1\/5). Let v = 0 - -0.05. Let g = v + 0.05. Which is the second smallest value? (a) g (b) u (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 - -11 - (-12 - -2).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 8*r - 2*r + (2 + 0 + 0)*(5*r - 3*r + 0*r).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 25 = 5*q, -10*h + 14*h - 2*q - 10 = 0. Solve c - 270 + 271 = h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26464 and 448?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-1 - (-4 - -7) - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14620061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325*b = 242*b - 1580 + 3987 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015402 a multiple of 580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 7*r = 0. Suppose r = i - 10*i + 36. Solve -i*l + 11 = -n - 2*n, -5*l - 5 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 5*v**4\/12 - 2*v**3\/3 - 11*v**2. Let b be q(3). Calculate the highest common divisor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01113170104 to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 4:31 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10, 4, 2, 10, 34?\n\"Answer: t**3 - 4*t**2 - t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15123210 (base 8) in base 14?\nAnswer: 65b688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 121422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9009)\/3432)\/((-28)\/16). Solve w*v**2 - 1\/4*v**3 - 3*v + 2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*v + 7 = -3*j, -2*j + 40 = 3*v. What is the remainder when 81 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in 2\/9, -804, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 14*b**2 - b + 17. Let a be l(14). Suppose 0 = -4*d + a*d + 3. Let -2\/3*i**2 + 2\/3*i**d + 2\/3 - 2\/3*i = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**9\/1008 - j**5\/60 + j**3\/6 - 2*j. Let v(g) be the second derivative of y(g). Find the second derivative of v(t) wrt t.\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c. Let u(v) = 842495*v. What is n(u(t))?\nAnswer: -1684990*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -32 + (32 + -15 - 1) + -7.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 718244169*t**3 - 2*t**2 - 20611*t - 5270 wrt t?\nAnswer: 4309465014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432 - 100881 = 1193*m + 30781 for m.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 6140400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 8 = -h + s, 0 = 3*h - s + 6. Let k = h - -5. Suppose -k*m - 4*b + 0*b = -18, 4*m - 2*b = 46. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2612, -2694, -2776, -2858?\nAnswer: -2940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + m. Let x(n) = n**2 - n + 11. Let z(s) = 2*f(s) + x(s). Let i = 56 + -69. Let a be 0\/((5 + i)\/4). Give z(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**3 - 5*x**2 - 4*x + 15. What is the hundreds digit of t(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4771 + 5020.1. Round d to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/360 and 151\/480?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 103968*o**3 + 55632*o**2 + 7442*o = 0. Calculate o.\nAnswer: -61\/228, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.46 and 0.07?\nAnswer: 0.5922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.3, -333845, -1?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -23*f + 119. Let t(a) = -210*a + 1071. Let x(b) = -35*i(b) + 4*t(b). What is the derivative of x(g) wrt g?\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 + 3479*c\/6 - 580\/3.\nAnswer: (c + 1160)*(3*c - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**8\/10080 + l**7\/1260 - l**6\/540 - 5*l**4\/6 + 5*l. Let g(y) be the third derivative of h(y). Find w such that g(w) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/24*(-391224)\/(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 10}. What is prob of sequence eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2003 (base 4) to base 15\nAnswer: 8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/3 (b) 810 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0461 + -2.9539. Which is the fourth biggest value? (a) 4 (b) 2\/9 (c) -0.3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4 + 7 - 3 + f. Let k be j(1). Put 5, 0, k in increasing order.\nAnswer: 0, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1281*y - 1182*y + 2109*y to i + m*y and give m.\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 591.5809mm in kilometers?\nAnswer: 0.0005915809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8.2*-111\nAnswer: 910.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000902956 to five dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 469946815?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*c = 14*c + 3120000000. What is c rounded to the nearest one hundred thousand?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 12096 = -2820. What are the prime factors of y?\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -816409, -816515, -816621, -816727, -816833?\n\"Answer: -106*w - 816303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23866093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -33003332100?\nAnswer: -33003332103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -2191225 and -24103469\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 22232101 (base 5) in base 3?\nAnswer: 100221201121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) -0.2 (c) -283\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10133012000303 - 22?\nAnswer: 10133012000221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 1200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 629\/(-2856) + ((-4655)\/(-210) - 22)?\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/15)\/((-69774)\/684 - -102)\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10120483?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -143 - -214. Suppose 3*x - k = 5*b, b = -4*x - 2*b + 114. Let g = x + -10. What is the remainder when g is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0934 - 0.0066. Let h(y) = y**2 + 18. Let z be h(0). Let j = z + -9. What is the smallest value in -3\/2, j, o?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1367 is divided by 42.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 4:05 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/6 and 45\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u = -3*k - 11, -7 = k + 2*u. Suppose -2*w = k*w + 5. Let t(i) be the second derivative of -i**3\/3 + i**2\/2 + i. Calculate t(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3 + 3 - 11 - y**2 - 3*y**3 + 6 + 3*y. Let d be m(-2). Let v be 20\/d*(-9)\/114. What is the second biggest value in 1, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-168340)\/31265 + 2 + 1. Let l = j + 88\/37. Let a = -309\/4901 + l. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*p - 9. Let t = p + 3. Let y be (0 + t)*(-2 - -1). Solve -4*j + 19 = -5*f, y = -f - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/504*6 - (-1534)\/12. Let w = -353 - -545. Calculate the highest common divisor of i and w.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**4\/3 + 4*b**3\/3 + 14*b**2\/3 + 8*b\/3 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -22*f**3 + 21*f**3 + 0*f + 2 - 7 - 3*f + 6*f**2. Suppose 3*d - 7 = 8. Determine z(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 37\/4. Let i = -459 + 6429\/14. Which is the smallest value? (a) -2\/7 (b) s (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4))**18 assuming t is positive.\nAnswer: t**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58\/131 - -26251\/4323. Let b = -19\/3 + p. Put b, -0.3, -4 in decreasing order.\nAnswer: b, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1564584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/25)*q**(-9\/7)\/q)**27)**25 assuming q is positive.\nAnswer: q**(-10611\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.5 - -13.5. What is the smallest value in 0.07, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o**2 + o**2 - 5*o**2)*(3*o + 0*o - 2*o)*(49 - 96 - 263 + (4 - 3 + 1)*(1 - 1 - 1))*(1 + 0 - 3) as s*o**3 + h*o**2 + q + b*o and give s.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 2*r + 2*r)*(-r + 4*r - 5*r)*(-2*r**2 - r**2 + 4*r**2).\nAnswer: -4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9320.523 micrometers?\nAnswer: 9320523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 12 = 27*k - 38*k - 4*r - 6, -k - 9 = -2*r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1348852874 and -0.14686.\nAnswer: 1348852873.85314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -183.67 (b) 0 (c) -1\/3 (d) -0.3 (e) 278\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2 + 62*z + 2193. Give i(-21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113 - -112. Which is the closest to x? (a) -6 (b) 0 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**2 + 240*w - 896 = 0.\nAnswer: 4, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*j**3\/7 + 33*j**2\/7 + 12*j\/7 - 3\/7.\nAnswer: 3*(j + 1)**2*(6*j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 116?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3842 - 3838. Solve 0*c - v*c = -2*x + 30, -c + 3*x = 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 644 = -90*w - 62 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1301\/2 - 649. Let n = 190\/141 + -2\/141. Let r = 0 + 1. Which is the closest to 2\/5? (a) n (b) r (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7058 or 7066?\nAnswer: 7066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42.694 + -18.\nAnswer: -60.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1831 + 14315.3.\nAnswer: 12484.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5 + 7 = 5*k, -3*g = -k + 8. Let q be (-1)\/g*-2*1. Let f(j) = 2*j**2. Let a be f(q). Solve -2*v - 5*w + 0*w = -25, 4*v = a*w - 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1409 - -7044\/5. Let d = 0.1 + 0.1. Sort u, d, 3.\nAnswer: u, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 2:40 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 333976069 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 184 + -181. Let r = 13 + -3. Solve l*z = z + r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/((-140)\/707))\/(((-144)\/60)\/(-4))\nAnswer: 101\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 128 = -7*u + 3*u, 3*u = 5*k - 96. List the prime factors of (0 - u)\/((-1)\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25a38 (base 16) to base 14.\nAnswer: -40280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -7*s + 8*s + 5*m, s = 4*m + 24. Suppose 2*y + 42 = -2*d, s*d - 8*d - 101 = 5*y. Is -19 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4638 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.914 rounded to one dp?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 548321*m**5 + 28583*m**2 + 2*m + 5 wrt m?\nAnswer: 32899260*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31533.\nAnswer: 3, 23, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -185, -434, -683, -932, -1181?\nAnswer: -1430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -5. What is the first derivative of -2 - r*l + 5*l - 1 wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -27, -61, -109?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-38)\/(-10) + (-2)\/(-10). Let n be 2\/y + (-10)\/(-4). Suppose n*d + 1 = 10. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 829973136.\nAnswer: 2, 3, 17291107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d - 2. Suppose -5*h + 6*n - n - 5 = 0, 8 = -4*n. Let f be j(h). Let a be (f + 2\/(-1))*-6. What is the greatest common divisor of 66 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 3, -3, -0.033 in decreasing order.\nAnswer: 3, -0.033, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15979800 rounded to the nearest one hundred thousand?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 666, 2524, 5558, 9768, 15154, 21716?\nAnswer: 29454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2659? (a) -0.4 (b) -1.3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 14*h + 17*h - 3 - 28*h + 3*h**2. What is q(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 2c2?\nAnswer: -2bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microsecond in nanoseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 12*y**2 - 3060*y + 24. What is i(255)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82.01 - -78.01. Which is the closest to 0.4? (a) 299 (b) -1 (c) 3 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**2\/11 - 948*b = 0.\nAnswer: -5214, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3568*a*c**2*s - 2241*c**2*s with respect to a.\nAnswer: -3568*c**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 125703908*p**2 + 1770*p - 62148 wrt p.\nAnswer: 251407816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20\/3? (a) -0.3 (b) 2\/7 (c) -5 (d) -0.34 (e) -11\/2 (f) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -314, -601 in increasing order.\nAnswer: -601, -314, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3824062 is divided by 1912025?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3717, -6749, -9781, -12813?\nAnswer: -15845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -1314244200?\nAnswer: 1314244204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3654 is divided by 741?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*j = -47*j + 24 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(1\/(-3))\/(5\/(-2685)). Let v = k - 531. Factor 1\/2*g**2 + v*g + 18.\nAnswer: (g + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -3) + -1 - (37 + -57)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 747 - 522. Suppose 5*h - f = 2*x, -3*h = h + 4*x - 152. What are the prime factors of h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 38.43. Let w = f + 0.07. What is the nearest to 0.3 in 1\/3, w, -1\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 290178 and -454.\nAnswer: -131740812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 767 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -74914*i + 582. Let y be b(-2). What is y rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 9*r + 18 = 0. Suppose 3*y = -3*j - r, 3*y + 3*j = 2*y - 12. What is the greatest common divisor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 1. Let t(h) = 38*h - 7. Let m(a) = -24*a + 9. Let o(i) = 8*m(i) + 5*t(i). Give -o(w) - 3*r(w).\nAnswer: -w - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - u = 0. Suppose u = a + 2*b, 8 = a + a - 4*b. Differentiate 2 + 4*g**2 + 3*g**a - 5*g**2 wrt g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1190 divide 1130809400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-10))\/(((-276)\/8)\/(-1)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7857?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (400 - 3) + -11 + 6 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24194538 divided by 27.\nAnswer: 896094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.45766415 rounded to two decimal places?\nAnswer: 27.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -32) + -5 - (-350 + 325).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**2 + 4113*k - 371280 = 0.\nAnswer: -1456, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 14 - 22 = 0. Suppose -s = -3*r - 26. Let l be (r - -1)*(-3 - -2). Solve -l*u - 4*c - 41 = 0, c = -u + 2*c - 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 673832 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 782522697*w**6 + 2688*w**2 - 74730 wrt w.\nAnswer: 93902723640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13371120 and 6615.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -364 - -4?\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2051, 0, -1, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -0.3 (c) -2\/19 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1185 + 2291\/2. Let m = -1932737\/18 + 107414. Let j = h + m. Put -0.2, j, -13 in ascending order.\nAnswer: -13, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 231 * -0.2.\nAnswer: -46.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 - 0.79. Let k = -42.59 - j. Let v = -42.9999846 - k. What is v rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 2\/15 (c) -0.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6272.05007 rounded to the nearest 10?\nAnswer: -6270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35156417 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**2*p*q**2 + 9*j**2*q**3 + 15*j**2*q + 1560*j*p*q**3 - 2*q**3 wrt p.\nAnswer: 2*j**2*q**2 + 1560*j*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31.3 and 0.3?\nAnswer: 9.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -25 times -16045\nAnswer: 401125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 212212486 to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = -11*z + 12. Let k(j) = -3*j**2 - 12*j + 1. What is k(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s. Let d be z(-1). Let m be 1 + -3 - 2*1. Let k be (-46)\/45 + m\/(-18). What is the smallest value in d, k, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -268599258*a**3 - 325205397 wrt a?\nAnswer: -805797774*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by 20?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1624272 by 11856.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 2*z + 5, -3*z = -5*z - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 64*f - 24*f + 2*f**2 - 23*f - 11 + 22 - 31*f. What is x(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 565\/66 - -91\/11. Find the common denominator of z and 41\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/6)\/((-10)\/(270\/9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4842 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9709 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2363, 2361, 2359, 2357?\nAnswer: 2355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + -4d0?\nAnswer: -4d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -20. Suppose -5*p = -4*v - x, -3*v - 8 = -5*p + 6. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-504)\/(-45))\/7*90\/(-24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53995606 to the power of 1\/2, to the nearest integer?\nAnswer: 7348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -9470\/10473 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1367 is divided by 143.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 287724 (base 10) to base 6\nAnswer: 10100020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + s - s)*(-14 + 23 + 73 + (1 + 1 - 1)*(-1 + 4 - 1) - 2 - 2 + 7).\nAnswer: -174*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 358.9 - 346. Let h = -13.9 + k. Let i = -1.5 - -2. What is the nearest to h in 3\/8, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2918040 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 17*p**2 + 18*p + 33. Let q be f(-16). Solve 5*r + w - 5*w = -31, 5*r - q = -4*w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + (sqrt(52)*2 - sqrt(52)) + sqrt(52))*2)\/(sqrt(4) - -2*2*sqrt(4)) + sqrt(13)*-2*3*-2 + 4.\nAnswer: 4 + 66*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -589, -1323, -2351, -3673?\nAnswer: -5289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vveq when four letters picked without replacement from {q: 6, v: 4, e: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 13285 = 17163. Suppose -x = 16*r - 184800. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -352684, -352678, -352672, -352666, -352660, -352654?\nAnswer: -352648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3230 is divided by 35.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68*b**3*n**4 - 70*b**3*n**2 - 4*b**3*n - 2*b**2*n**4 - 2*b**2 wrt n.\nAnswer: -1632*b**3*n - 48*b**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108.96 - 109. Which is bigger: u or -107?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102100 + -11?\nAnswer: -102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 9954?\nAnswer: -9959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2422 - -1640. Let g = u + 781. Which is the biggest value? (a) 13\/4 (b) -0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2 + 10*m - 37. Let v(d) = d**2 - 3*d + 12. Let w(n) = 2*b(n) + 7*v(n). Is 26 a factor of w(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 64388 and 0.0405.\nAnswer: 2607.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, q: 4, s: 8}. Give prob of sequence sjsq.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i. Let x(w) = -39*w - 4. Let m(f) = 3503*f + 372. Let u(r) = -4*m(r) - 372*x(r). Give u(v(d)).\nAnswer: 992*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/9)*i*i**(-6\/13)*i)\/(i*i**(-11)*i*i\/i**(-11\/2)*i))**(-36) assuming i is positive.\nAnswer: i**(-1786\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**6\/40 + 7*g**5\/20 - 21*g**4\/8 - 27*g**3\/2 + g**2 - 74*g. Factor t(k).\nAnswer: 3*(k - 3)*(k + 1)*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 18*l**2 - 32*l + 29. Calculate b(7).\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 192501595 divided by -1346165\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 17. Suppose -2*r + r = -n. Suppose r*g = 198 + 12. What is the remainder when g is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1131108344 to the nearest integer?\nAnswer: 33632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6247 - 6232. Let w(y) = y**3 + 7*y**2 + 5*y - 4. Let z be w(-6). Calculate the remainder when 44 - (-2 + z - 0) is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 4, -2\/5, -1, -4.\nAnswer: -4, -1, -2\/5, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-x - 2*x + x)*(-x - x + x) - 5*x + 2*x**2 + 5*x + 0 + x**2 + 0)*(33*x**2 - 9*x**2 + 12*x**2)*(5*x - 2*x + 2*x).\nAnswer: 900*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-775 + 233 + 542 + 8846*q**2).\nAnswer: -8846*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1934)\/2128 + 1124\/10678 - (-12)\/28.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46362086 and 3452?\nAnswer: 1726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*c - 960 = 90 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1620?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + -1)*(-1)\/((-5)\/180205) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25 - -82)\/(-969))\/(-1)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/45 + (-36)\/(-10). Suppose 20 = 5*p + 5. Let m(r) = 3 - 3 - 7*r + p*r**2. Let g(t) = t**2 - 2*t. Calculate h*m(v) - 14*g(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 31\/6, 0.06, -3\/5.\nAnswer: -3\/5, 0.06, 4, 31\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/(5\/((-145)\/2)*12\/(-96)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 47. Suppose -i = -19*x + 22*x. List the prime factors of -6 + (-220)\/(-35) - 138\/x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 675099, 1350198, 2025297, 2700396, 3375495?\nAnswer: 4050594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -3721 - -4663. What is the remainder when q is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*1*(-8)\/(-3). Is -10 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 + 120 - 457 + 103 + 120 + 3*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -146 - -81. Find the common denominator of (2\/(-6))\/(w\/(-1989)) and -23\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3535695 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1511 (base 10) in base 7?\nAnswer: 4256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-27)*1*15\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*p + 3*a + 51, -27645*p + 27646*p + a = 7 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)\/n*n)**(2\/53)*n**(2\/23)*n*n*(n\/(n*n**(-1\/6)))\/n assuming n is positive.\nAnswer: n**(8893\/7314)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-119)\/(-1*(-3)\/(-6)). Suppose 107 = 55*b - 3. Suppose -b*j + 4*h + 182 = 0, h - v = -3*j + 42. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -291.66 to the nearest ten.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.55 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 146943 by -695.\nAnswer: -146943\/695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1532.5 - 1533. What is the closest to -1 in 4\/5, -2\/67, -1\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -10*d**4\/3 - 134*d**3 - 4210*d**2\/3 - 1522*d - 748\/3 = 0.\nAnswer: -22, -17, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 11. Let a(l) = -6. Let t(s) = 11*a(s) - 6*f(s). Let x(u) be the second derivative of -u**4\/12 + 64*u. Determine t(x(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 20, -4, 34 in decreasing order.\nAnswer: 34, 20, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*1)\/sqrt(9)*-5.\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 + 420*g**3 + 5*g**2 - g - 541*g**3 - 24.\nAnswer: -121*g**3 + 2*g**2 - g - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 3*t = -60. Find the third derivative of -2 + 2 - s**2 - 2*s**t + 3*s**2 wrt s.\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 3*x**2 - 5*x - 90. Give k(-5).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 527.977 + 1.023. Let y = j - 531. Which is the nearest to 0.3? (a) 0.1 (b) y (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*m = -57*m - 1818. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 u, and 1 p when three letters picked without replacement from zuzuuupuuzzuu?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/57, -0.4, 6 in decreasing order.\nAnswer: 6, -2\/57, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 0, 36 in ascending order.\nAnswer: -3, 0, 1, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*h + 3*x - 0, 0 = h - 4*x - 2. Let n(v) = 7*v + 17*v**2 - 2 - 3 - 18*v**2. Give n(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 36*d**2 + 10*d + 360. Let w be m(-36). Solve w = 3*k + 52 - 31 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*f + 70*f = n - 690, 4*f = 8. What is the remainder when n is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -7. Let o be (l\/(-2))\/1*-1. Let q = 4 - o. Solve 3*k - 2*k = -5*w + 15, q = -5*k + 2*w - 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 15*v**2 - 8*v - 46. What are the prime factors of u(-11)?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77\/30 - 8\/3. Suppose 8*l - 23*l - 3210 = 0. Let p = l + 211. Sort p, u, 3\/2.\nAnswer: p, u, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.56 and -11021.175?\nAnswer: -6171.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uununuuu. What is prob of sequence nun?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*k**3 - 29*k**3 + 423*k**3.\nAnswer: 418*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -69*w + 65*w. Sort 0.1, w, -7 in ascending order.\nAnswer: -7, w, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + 7. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4150253297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 16 = 2*y. Let u(k) be the third derivative of k**4\/24 + 2*k**3\/3 - 2*k**2. Let g be u(4). Solve y*r + g*t + 33 = 3*t, 0 = -r - 2*t - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -2*r**6\/15 - 14*r**5\/5 - 13*r**4\/3 - r + 50. Let l(z) = 0. What is z?\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -z - 2*h, -4*z - h + 22 = h. Is z bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.2 in 1, 0.2, -935?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)*-2 - (3 + sqrt(153)).\nAnswer: -7*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -800200 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 1 - 2\/7*a + 4\/21*a**3 + 1\/7*a**2 - 2\/35*a**5 - 1\/7*a**4 + 1\/21*a**6. Find o, given that k(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2505247*c**3 - 1622467*c**2 - 7?\nAnswer: 15031482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056869027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 20*j + 75. What is d(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61 and 27676859?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 9\/2 (c) -1\/3 (d) 11\/7 (e) -0.4 (f) -0.28 (g) -14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(136)\/(-2*sqrt(8)*1) + sqrt(68) + sqrt(68) + -1 + 3 + 4*((sqrt(68) - (sqrt(68) + 0)) + sqrt(68)))**2.\nAnswer: -69*sqrt(17) + 9029\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -31c (base 15) in base 9?\nAnswer: -860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/200 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 686*c**2. Let j(y) = 2*y + 16. Let d(v) = 2*v + 12. Let z(b) = -4*d(b) + 3*j(b). What is z(i(t))?\nAnswer: -1372*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3264 and 960.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u**3 - 507*u**2 + 309*u - 57. What is y(-85)?\nAnswer: -4647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.2 (b) -18\/41 (c) -1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**4\/2 + 417198*o**3 + 20443615*o**2 + 239903250*o - 521528125\/2 = 0.\nAnswer: -25, 1, 834445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 19 = -4*f + 36, f + 2 = -s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94245863?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 681*w = 679*w - 1416. Let f = 1466 + w. What are the prime factors of f?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**3 - q**3 + 8*q - 4 - 8*q as d*q**3 + x + i*q + c*q**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*u**4 + 64655*u**3 - 2*u**2 - 986735*u + 4 wrt u?\nAnswer: -768*u + 387930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d + 7 + 10 - 17 to the form w + i*d and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 4 + 1)\/((-4)\/(-20)). Calculate the greatest common divisor of h and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348794.\nAnswer: 2, 73, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 21 = -0. Let h(j) = j**3 - 6*j**2 - 7*j - 7. Give h(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 - 24*v**2 + v + 7. Calculate f(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*z**4 - z**2 + 17*z - 2 wrt z?\nAnswer: -96*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((9*2\/62)\/(9810\/(-3270)))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4418 by 2209.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 12, 17*a = 4*g + 16*a + 34. Let t(h) be the third derivative of h**5\/4 + h**4\/24 + 11*h**3\/6 + h**2. Is t(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -4 (b) -12 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 4, -134700, 8 in increasing order.\nAnswer: -134700, -5, -1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-37175)\/(-2) - (-10)\/(-20) - -4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -13, 5885, 2, -2, 0, -3 in descending order.\nAnswer: 5885, 2, 0, -2, -3, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -17. Let a(s) = s**3 - 9*s**2 + 6*s - 5. List the prime factors of a(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -33. Suppose 9 = z - j, -5*z = j - 18 - f. Suppose p + 0*p - 8 = 0. Is z smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106002395.76 rounded to the nearest 1000?\nAnswer: 106002000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23820 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1850010*b*c**2 + 982223*c**2 - c with respect to b.\nAnswer: 1850010*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a1 (base 16) to base 11.\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*(-3 - 180\/8). Is -4 - (-2)\/(2\/x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-7))\/1*(-2)\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 132818 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161457681?\nAnswer: 3, 7, 11, 63541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l + 68. Let d be n(-13). Let h(t) = t**3 + 12*t**2 + 15*t - 39. Let u be h(-10). Put u, d, 5, -5 in decreasing order.\nAnswer: u, 5, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 11. Let w = -11.2 + 0.2. Let q = w - j. Which is the smallest value? (a) -10 (b) q (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/34 + 12820\/261528?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (9167 + 2799*q**2 - 9167)*(-q**3 + q**3 + 2*q**3) + (-3*q**3 - q**3 + 2*q**3)*(0*q**2 - 3*q**2 + 0*q**2).\nAnswer: 5604*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 17. Put 0, 1, c, 5 in decreasing order.\nAnswer: 5, c, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1967*x**2 - 997*x**2 - 988*x**2.\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 108651773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/2 - (-5 + 40)\/(-7). Suppose 250 = 4*v + u + u, -u + 305 = d*v. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 255001776?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -28, -2, 2 in decreasing order.\nAnswer: 2, -2, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -44257 divided by -6\nAnswer: 44257\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -280 - 304895?\nAnswer: -305065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 6. Suppose h + y - 151 = -2*y, -820 = -b*h - 2*y. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30\/137 + 18949\/822. What is the common denominator of x and -50\/21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 308*s - 9764. Let u be v(32). Calculate the greatest common factor of u and 45908.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 2. Let d = 513 + -512.5. Let g = 0.1 - 1.1. What is the closest to g in d, 3\/5, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + (-6)\/2)\/(-2). Sort d, 0.13, 3\/7 in increasing order.\nAnswer: d, 0.13, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2258 - 0.1258. What is the third smallest value in -24, z, 2\/5, 0, 2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -469*m - 27. Let c be x(17). Round c to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 47 = 2. Let n = 4 - -1. Let s = q + n. Calculate the lowest common multiple of 14 and s.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q - q)*(2 - 2 - 3*q)*(-119 - 4*q + 119).\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -4, -2\/9, 8732\/53, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 63*t**5 - 1939578*t**4 + 23175738*t**3 - 66566148*t**2 - 5447385*t + 6462750 = 0?\nAnswer: -1\/3, 2\/7, 5, 7, 30775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -26, -0.06, 116\/11, -1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5271208?\nAnswer: 2, 19, 34679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*t - 1883, -12*t + 1878 = -9*t + 3*c. Let i = 629 - t. Solve 23 = 3*x + i*o, -3*x - o + 10 = -9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606390479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2337, 4642, 6861, 8994, 11041, 13002, 14877?\n\"Answer: -43*n**2 + 2434*n - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/216807612 and 131\/92917548.\nAnswer: 650422836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.35 + -0.49. Suppose i = -2*s + s - 2, -5 = -5*s - 2*i. Let h = 121\/12 - 31\/3. Which is the third biggest value? (a) s (b) 2 (c) g (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 5 + 231*b + 1 + 0.\nAnswer: 231*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312101 (base 4) to base 6.\nAnswer: 24025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3757322 - -1?\nAnswer: -3757321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 1 - (16 - (12 - (-3 - -1)) - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 58466 = -34*n. What are the prime factors of n?\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l + 6*l - 4*l + (l + 2 - 2)*(-2 + 3 + 0) - 3*l + 0*l + 4*l)*(106673 - 1428*l - 106673) to f*l**2 + n + i*l and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*a - 40, -6 = -2*a + 6*f - 2*f. Let t be (-4)\/(-2)*(4 + a\/2). Suppose 3*n + 2*n - 4*o = 1269, -t*o = -2*n + 502. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11316259 is divided by 317.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 21*o + 1. Let i(w) = 4*w - 6. Let v be i(5). Let y = -13 + v. Is 5 a factor of a(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*l**3 - 114*l**3 - 20*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23232 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 581*n**2 - n + 5. Let a = 138 - 136. Is y(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 8:22 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, 1, -3, 3 in increasing order.\nAnswer: -106, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19\/30 - 2\/15. Let n = 53 - 54. Suppose -5*u + 3*i = -i + 36, 32 = -5*u + 3*i. Which is the closest to p? (a) n (b) 2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -333*u - 603*u - 490*u - 3*u - 120*u to the form i + l*u and give l.\nAnswer: -1549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/25)\/q)\/(q*q**(-7)*q)*q**26\/q**(6\/13) assuming q is positive.\nAnswer: q**(9613\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 19, -3 in descending order.\nAnswer: 29, 19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 104\/89, -1337\/3, 3?\nAnswer: 104\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 15*d - 2. Let h be l(3). Suppose 38*t + 735 = h*t. 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 next in 3622, 7245, 10868, 14491?\nAnswer: 18114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 3*r**2 + 4 + 4 + 306*r - 24 to s + x*r + d*r**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -25*p**2 + 4*p - 4*p + 6*p**2. Let o(h) = h. Calculate s(o(r)).\nAnswer: -19*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-1)*((-456)\/(-969))\/(12\/51)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/4 + -2 + 2. Let v = 3671 - 3683. Sort b, -3, v in descending order.\nAnswer: b, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 5*v - 29, -4*j - 14 = -4*v + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3566 + 7836. Suppose -3*f - 5*d + 711 + i = 0, 0 = f - 3*d - 1651. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = 3*g + 5*d - 96, 8*g = -2*d - 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least 0.23949?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/22 + (-1314)\/1386)*14\/(-16)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**2 + 111*o + 396 = 0.\nAnswer: -33, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 2*t - 12, -3*s - 5*t + 596 = 0. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 4:07 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1168*s**5 - 1688*s**2?\nAnswer: -70080*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, u: 1, j: 2, o: 5}. Give prob of picking 2 o and 1 y.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31623 + 359*p - 31626 + 63250.\nAnswer: 359*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -18. Let h be (7 - g)*(-1)\/2. Which is smaller: -3\/2 or h?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/6 - 125259356*g\/3 + 7844953132767368\/3.\nAnswer: (g - 125259356)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 5*l = 4. Let k(r) = r**3 + 4. Let f(s) = s**3 + 1. Calculate l*f(u) + k(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 842 * -5\nAnswer: -4210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/488064 and 107\/839232?\nAnswer: 68817024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*r**2 - 33*r + 32*r + 2*r**3 - 11*r**2 - 103*r**4)*(1 - 1 - 2) to z*r + c*r**2 + u + t*r**4 + p*r**3 and give t.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 1 + 1)*(-3*a - 4*a + 4*a) - a**2 + 3*a**2 - 3*a**2 + (2 + 0 - 3)*(-28*a**2 + 32*a**2 + 32*a**2).\nAnswer: -31*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, g: 3}. Give prob of sequence ygyg.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -5*s + 211. Suppose 4*t - 14 = 3*y - s, 2*t + 40 = 5*y. Let z be (y\/4)\/(11\/(-22)). Which is the third biggest value? (a) -2\/7 (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + (sqrt(1452)*-5)\/((sqrt(144) - sqrt(4))*-6).\nAnswer: -3 + 11*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3*m**2 + 2 + 2*m**3 + m**2 - 5 in the form g*m**3 + d*m + r*m**2 + n and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -247047 (base 9) in base 8?\nAnswer: -443760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3329 + -405?\nAnswer: -3734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6498 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (11 - (-30 - -57)) - (-1 - (-1 + -57))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1654 - 10146290808.\nAnswer: -10146290808.1654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115959 by 3.\nAnswer: 38653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -465, -467, -469?\n\"Answer: -2*s - 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 938\/(-56) + 2\/(-8). Let y = a + 34. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3166073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13.7 * 0.4\nAnswer: 5.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u. Let z = -51 - -51. Let m(i) be the third derivative of 0 - 3*i**2 + z*i**4 - 1\/30*i**5 + 0*i + 0*i**3. Determine b(m(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 554*b**4 - 18*b - 24.\nAnswer: 6648*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 15*j**2. Let y(b) = -18353*b**2. Determine y(o(g)).\nAnswer: -4129425*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 425849.886 milliseconds to weeks.\nAnswer: 0.000704116875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 10, 19, 30?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 less than -852773.04?\nAnswer: -852772.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 242, 386, 532, 680, 830, 982?\nAnswer: 1136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -0.3 (c) -369\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**3 + 652*z**2 - 24864*z - 141120 = 0 for z.\nAnswer: -5, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10408168 to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 + 118 - 112 - 7*t**3 - 2*t + 6*t**3 - 3*t**2 to the form g + z*t**3 + m*t + b*t**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2 + 22*m + 23 = 0.\nAnswer: -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -0.206, -3\/5, -0.2, -30, -1\/4?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -4. Let l(y) be the first derivative of y**4\/12 - y**3\/6 + 5*y + 5. Let f(w) be the first derivative of l(w). Give f(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/(-26)*(-2613)\/(-603)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(700) + sqrt(700) + sqrt(700)*1 + sqrt(700))**2 + -2 + (sqrt(112) + -5*sqrt(112))*6*6.\nAnswer: -576*sqrt(7) + 11195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from {d: 2, c: 9}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14411.\nAnswer: 14411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -109*t**2 + 7*t + 8. Let k(l) = 73*l**2 - 5*l - 5. Let j(s) = -5*d(s) - 7*k(s). Calculate the remainder when j(-2) is divided by (-4)\/12 + 200\/6.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3829178 or 3829179?\nAnswer: 3829179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 13*n + 14. Let m be w(-12). Let q(x) = 3*x**2 + 6*x + 2*x**m - 4*x - 2*x**2. Determine q(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4473 + -1305. List the prime factors of j.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.22028mm to meters.\nAnswer: 0.00522028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 5 - (-7 + 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**3 - 2*d**3 - 2639 + 2639.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27 - 306?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 33*p - 194. Let z be b(6). Let n be (-539)\/(-105) + z\/(-30). Solve x + x = -v - n, -3*x - 6 = 2*v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3 - -1) + -4 - -4) + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/6, 1\/3, -3, -2.98.\nAnswer: -4, -3, -2.98, -1\/6, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 11) in base 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k + 5*x = 6, 0 = 5*k + 5*x. Let l(q) = 74*q - 4. Let v be l(k). What is v rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 5:13 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j. Suppose 2*s + 17*t = 14*t + 23, 21 = 3*t. Let f(h) = -2*h**2 + 4*h + 7. Determine s*f(a) + 3*v(a).\nAnswer: -2*a**2 + a + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 1159*p - 4*p**2 + 3494*p - 1164*p - 1160*p.\nAnswer: -4*p**2 + 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 6:07 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*h**2 + 10*h**3 - 20*h**2)*(-26*h - 27*h**2 + 26*h) + (-3*h**4 + 0*h**4 + 0*h**4)*(2*h - 1 + 1).\nAnswer: -276*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69719 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + q**2 + q + 12. Let n be i(0). Let s = n - 7. Let z be (-1 - 0)\/(1\/(-4)). Sort s, z, -5 in descending order.\nAnswer: s, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j + 1. Let x(t) = 41*t - 116. Calculate 5*u(k) - x(k).\nAnswer: -11*k + 121","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 4*a**2 + 13*a + 3. Determine x(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2*(4342\/(-1448) + 3)). Let f = -365 + w. Which is the closest to 2\/5? (a) 1\/6 (b) -18 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 12:36 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 45*n**2 + 132*n - 100. Let l(v) = -22*v**2 - 65*v + 46. Determine -6*j(m) - 13*l(m).\nAnswer: 16*m**2 + 53*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.2 + -5. Let p = f + 1.8. Let j = 0.167 - -0.333. What is the nearest to 2 in j, -0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - d - 2 + (2 - 5 + 2)*(3*d + 2*d - 3*d) + 0*d - 3*d + 4*d - 3*d + 0*d + 2*d - 5*d - 2*d + 5*d - d - 1 + 11 - 20.\nAnswer: -6*d - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of p**4 + 1681*p**3*z**3 - z**3 + 4*z**2 + 154*z wrt p.\nAnswer: 4*p**3 + 5043*p**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1010?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 474 - 468. Put -1, 3, b, 1\/3 in increasing order.\nAnswer: -1, 1\/3, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4406 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from oqowooqwwwoo?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1001013 (base 4) to base 2\nAnswer: -1000001000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5404*k + 5429*k + 175. Let c(h) = h + 26. Calculate c(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r**2 + r - 4. Let d = -100 - -91. Let u = 3 + d. Let v(k) = -k**2 - 1. Determine u*v(j) + q(j).\nAnswer: j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 1:17 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*b**4*f*h + b**4*h + 41*b**3*f - 53*b**2*f*h - 2*b**2 + 19*f wrt b?\nAnswer: -408*b*f*h + 24*b*h + 246*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x**3 + 7*x**2 - 9*x. Let z = -110 + 113. Suppose -5*j - 13 = z*p, -p - 4 = j + j. Let f(s) = -7*s**3 + 13*s**2 - 17*s. Give p*f(a) + 11*y(a).\nAnswer: -2*a**3 - a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34426889*p**2*q**2 + 579140*q**2 - 18*q wrt p.\nAnswer: 68853778*p*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 579, 1121, 1663, 2205, 2747, 3289?\nAnswer: 3831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861691.\nAnswer: 861691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*o**3 + 45*o**3 + 39*o**3 + 42*o**3 - 361*o**3 + 170*o**3 + 32*o**3.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5195104ng in grams?\nAnswer: 0.0000000005195104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -587*z - 570*z + 1235*z.\nAnswer: 78*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g*h**2*w - 26*g*h**2 + 5*g*h*w**2 - 17*g*w**2 + g - 7*h**2*w**2 + 2*w wrt w?\nAnswer: 10*g*h - 34*g - 14*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3384896?\nAnswer: 2, 52889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6423 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - a + (2*a - 3*a + 2*a)*(0 + 3 - 1) - 3*a + a + 3*a + 1 - 4 + 4 + 2*a.\nAnswer: 4*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 209 - 16. Is 193 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/3763973 - 41110113160\/101627271. Let y = z + 406. What is the common denominator of 103\/42 and y?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 9*p + 38. Calculate the remainder when b(3) is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6313?\nAnswer: 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 12 - ((3 - (8 - 3)) + -7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4274185 divided by 5\nAnswer: -854837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2. Let b(g) = 12*g**2. Let c(t) be the second derivative of 25*t**4\/12 + 6*t. Let q(s) = -5*b(s) + 3*c(s). Give q(l(r)).\nAnswer: 15*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1200 divide 10904400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.96693 to 2 dps.\nAnswer: -28.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqel when four letters picked without replacement from lqqqeeljjevveqelqvlf?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.0255956 and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i**3\/2 + 22*i**2 + 87*i\/2 + 27 = 0 for i.\nAnswer: -3, -2, -9\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14 (b) 192 (c) -2\/5 (d) 2 (e) 1.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*d**2 + 396*d - 28 = 0.\nAnswer: 1\/14, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f*i*n + 23*f*l**4*n + 2*f*l**4 + 2*f*l**2*n - 2*f*l**2 + 394*i*l**3 - i*l**2*n - 248*i wrt l.\nAnswer: 552*f*l*n + 48*f*l + 2364*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -0.1 (c) 1\/7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**5\/12 - t**4\/12 + 3*t**3\/2 - 26*t**2. What is the hundreds digit of h(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/3)\/(16\/48). Let q = 4 - 3. Sort -9, q, n in ascending order.\nAnswer: -9, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -109*y - 107*y + 229*y - 208 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/13, -0.08, 2, 0.046, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 2\/47029?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17337)\/(-6) - (-12)\/20. Let z = -2886 + w. Find the common denominator of -19\/26 and z.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1298600 rounded to the nearest ten thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*r = -215*r - 2*j, -j = 3*r + 2. What is the closest to 2 in -230\/3, -3, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -12*d**5 - 10*d**4 + 10*d**3 - 4*d. Let x(j) = -4*j**5 - 3*j**4 + 3*j**3 - j. Let s(b) = 6*l(b) - 20*x(b). Find the second derivative of s(c) wrt c.\nAnswer: 160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -866 (base 9) to base 16.\nAnswer: -2c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3259*l = 3258*l + 3*a - 4, 4*l - 4*a + 16 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 112392227 to the power of 1\/2, to the nearest integer?\nAnswer: 10602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 85935634 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32560)\/(-22))\/74*2\/(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(255) + sqrt(255) + sqrt(255)*2 + sqrt(255)))\/(sqrt(20)*2))\/((sqrt(30)\/(-1*sqrt(10) - sqrt(10)) - (sqrt(3) + sqrt(300)*1))*6).\nAnswer: 5*sqrt(17)\/276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3))**(-7)\/(f\/(f\/f**23*f)*f*f*f*f**(-1\/20)) assuming f is positive.\nAnswer: f**(-79\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13611 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 - 0.3. Suppose -129*k + 1020 = 211*k - 170*k. Which is the nearest to l? (a) 0 (b) 0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60069 greater than or equal to -1.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231, -458, -685, -912, -1139, -1366?\nAnswer: -1593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -2*m + 21*x + 53 + 7 + 36, -m + 5*x + 25 = 7 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 (base 13) in base 14?\nAnswer: -ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/21)*y)\/y)\/(y**18\/y) assuming y is positive.\nAnswer: y**(-361\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248938825?\nAnswer: 5, 43, 231571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 156 - 151. Solve -5*s = 5*f - 10, 0*f - f - t*s + 14 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*h + 6. Suppose -321 + h = -10*k. Calculate the highest common divisor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 8:34 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64711362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -9. Suppose 0 = -4*f + 4 - 16. Let r be f\/((-6)\/4) + 0. Solve r*d = 3*l - 3, -w*d - 5*l = 1 + 16 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-1 - (1 + -7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 + 94. What is the greatest common divisor of u and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2 - 6. Let o be ((-15128858)\/(-6))\/(h\/12). Let y = 3864429 + o. Round y to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(91)\/sqrt(7)*5.\nAnswer: -2 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3*z - 4*z - 11, -2*z - 4 = -k. Let u(p) = 2 + 5*p - 7*p**2 + 7*p**2 + 0*p**2 - p**k. Give u(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 680*m - 679*m + 19*j + 78, 4*m + 4*j = 48 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -i**6\/6 + 3*i**5\/4 + 35*i**4\/12 - 25*i**3\/2 - 45*i**2 + 81*i - 116. Let s(q) be the first derivative of k(q). Factor s(l).\nAnswer: -5*(l - 3)**2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -825, -840, -855, -870, -885, -900?\nAnswer: -915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69 - 8.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 3*u**2 + 5*u - 4. Let o be i(4). Sort -1, -11, -5, o in decreasing order.\nAnswer: o, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/21)\/(t\/t**(-23\/5)))\/(t**4*t*t\/(t\/(t*t**(-1\/14)))) assuming t is positive.\nAnswer: t**(-2381\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-842)\/4631)\/((-4)\/(-231))*(-8)\/(-66).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4033375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (0 - (4 + -11))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 575 and 800.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 8:46 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -234*q**4 - q + 4509*q**5 + 168*q**4 + 37*q**4 + 29*q**4 - 3846 wrt q?\nAnswer: 90180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-592)\/(-32) + (-30)\/12. What is the tens digit of 27870\/16 + ((-22)\/m)\/(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 388 - -77. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6019*m**3*v**2 - m**3 - 14*m*v + 699*m wrt v?\nAnswer: -12038*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 1 = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29544224 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3638 and 65270?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12, 14, 28, 60, 116, 202, 324, 488?\n\"Answer: r**3 - 5*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -252205 (base 10) to base 6\nAnswer: -5223341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z\/(z**(-5\/4)*z)*z*z**16 assuming z is positive.\nAnswer: z**(81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 5:58 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001166 to six dps.\nAnswer: -0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 8. Let n(b) = b**3 - b**2 - b. Let i(s) = 6*s**2 - 7*s. Let a be 2\/(-4) - (-5)\/(-10). Let v(w) = a*n(w) + i(w). Determine v(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -7*z**2\/2 - 6*z + 1. Let o be -2 + (4 - 8) + 12. Let l(x) = 8*x + 7. Let j(n) = o*k(n) + 5*l(n). Calculate j(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 45 = 51. Let y be ((-75)\/50)\/(-1*b\/(-4)). Let j be 3\/((-6)\/(-8)*-2). Which is smaller: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dgjk when four letters picked without replacement from {g: 3, k: 2, d: 4, j: 2, v: 2}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547*d + 693*d = -438 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 329151, 658307, 987463, 1316619, 1645775, 1974931?\n\"Answer: 329156*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47268 and 520958?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1705 = 2*b - 8458, -25407 = -5*b - 3*q. List the prime factors of b.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7202026369 to the power of 1\/4, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 6:25 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -146404269 divided by 56331?\nAnswer: -2599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -8651202?\nAnswer: -8651203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 - -85. Suppose 21*t - 29*t = -22*t + 42. Suppose l + 58 = 5*q, -t*l - q = -2*l + u. Which is smaller: -44 or l?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1\/2))**37*(h\/h**(-4))\/h**8)**(1\/42))**(-1\/15) assuming h is positive.\nAnswer: h**(43\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9988758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.678 at most as big as -63858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -85766 divided by 6?\nAnswer: -42883\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 9:25 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 754*c - 401. Calculate the remainder when o(3) is divided by 305.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 1834006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.1157, -1 in ascending order.\nAnswer: -1, -1\/2, 0.1157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11055\/(-550) - -21)\/(-1 - 94\/(-10)).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000024697551 to six dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 20*j + 74. Let v be g(7). What is the second derivative of -v*t**4 - 480*t - 11*t**4 - 22*t**4 + 164*t wrt t?\nAnswer: -780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-63)\/(-18))\/((-1)\/(-2)). Suppose i = 2 + k. Solve -6 = -3*f + i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -168, 268, 996, 2016, 3328, 4932, 6828?\n\"Answer: 146*y**2 - 2*y - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 759 + -765. What is the lowest common multiple of -6 - (3\/z)\/(4\/112) and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 16)*(9\/(-6) + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-170)\/(30\/3) - (2 + 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 113490\/(-1495) - -76 - (-1 + (-627)\/(-598))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g. Let i(a) = 2*a + 11. Let f be i(-8). Let j(v) = -2*v + 2. Let r(l) = f*d(l) + j(l). What is the derivative of r(q) wrt q?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**5\/60 + k**4\/3 + 8*k**3\/3 + 7*k**2. Find a, given that l(a) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145036 divided by -258?\nAnswer: -72518\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 42. Solve 5*c - 5*p = -0*c, 0 = -d*c - 2*p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12856.092 + -12826. Let s = 0.092 - n. Which is the nearest to -0.2? (a) 1 (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x + 5. Determine a(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 3365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27634 - -27641. Which is the closest to 0.2? (a) -2\/11 (b) 1 (c) u (d) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18a7 - -2b?\nAnswer: -1879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 18700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -205*n**2 - 40*n - 80. Let t(r) = 5*r**2 + r + 2. Let y(v) = -5*c(v) - 200*t(v). Let w(m) = 0 + 0 + 2*m. Calculate w(y(x)).\nAnswer: 50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15423 and 291?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -1)\/(-24 + 17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155140?\nAnswer: 2, 5, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(sqrt(10) - sqrt(90)) + 0 + sqrt(425) + sqrt(425))**2.\nAnswer: 6137\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21537 > 21471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 612531 to the power of 1\/2, to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -11*s - 2. Let a be u(0). Sort a, 0, 3 in ascending order.\nAnswer: a, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 4840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17\/(-2) - 1\/2. Let p(r) be the first derivative of -2*r**2 + 3*r + 1. Calculate the remainder when p(x) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 93 = -3*g. Suppose 4*c + 2*b - 102 = -0*b, -3*c = -4*b - g. Let l = c + -21. Is l greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a day in hours?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/15)\/((-82408)\/20604 + 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 0, 2*p + 455*j - 2 = 454*j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14513 is divided by 7253?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + p + 16*p + 6*p.\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**2 + 152*z - 420 = 0 for z.\nAnswer: 3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221295964 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 188635133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4402805422 to the power of 1\/2, to the nearest integer?\nAnswer: 66354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -3*c + 38, c = -27*a - 397 + 295 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/547 (b) 0.1 (c) -1 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 77*b**4\/24 - 5*b**3\/3 + b**2 - 5*b. Let w(v) be the first derivative of a(v). Is w(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*(-2 + 6*((sqrt(243) - (sqrt(243)*-3 - sqrt(243)) - sqrt(243)) + -4)**2*-5 + -4).\nAnswer: -468501 + 34560*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**8\/168 - 2*g**7\/105 + g**5\/15 - g**4\/12 - 11*g**2\/2 - 7. Let r(m) be the second derivative of w(m). Factor r(t).\nAnswer: 2*t*(t - 1)**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 q when two letters picked without replacement from {a: 2, q: 2, v: 8}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 67 + 11. What is the third derivative of -x**6 + 2*x**6 - x**2 + q*x**2 + 7*x**6 wrt x?\nAnswer: 960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*l + 82, -p = -0*l - 3*l + 61. What is the remainder when ((-258)\/8)\/(72\/(-480)) - -14 is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -718*a + 680*a = -917 - 3719. Calculate the remainder when 806 is divided by a.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3737792 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-1)*4\/48.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/24*2*(-498)\/83*-35?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = -0*t + 3*t. What is the remainder when t is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 10*g**2 + 8*g + 5. Let m be h(9). Suppose -3*y - 14 = -2. Let j = y - m. Solve 9 = 3*v - j*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 12:57 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/5 (b) 8\/3 (c) 5985\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1215 - 1335 + 2156 + 1743)*(-q + 6 + 3*q - 4) to the form o*q + y and give o.\nAnswer: 7558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 24*r**2 - 90*r - 38. What is the units digit of n(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -17 + 19 + (3 - 0). Suppose 0 = j*u - 3*b - 101, -15 = -u - 5*b + 3*b. Suppose -15*w - 152 = -u*w. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*o**2 - 2*o**3 - o**4 + 2*o**4 + o**4 - o - 8*o**2 to n*o**4 + x*o + y*o**2 + v*o**3 + k and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*t - 19005 + 19225 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7551 + 20486. Is 71 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158836 (base 10) in base 4?\nAnswer: 212301310","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/16203088 and 69\/4282.\nAnswer: 16203088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 divided by 790?\nAnswer: 43\/790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 2. Let m(l) = -161*l**3 + 141*l**2 + 9. Let j(q) = -5*k(q) + m(q). What is the third derivative of j(s) wrt s?\nAnswer: -936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14473578 and 798?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1239 * -0.0832.\nAnswer: -103.0848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*y - 7*y + 360. Let w(k) = -k**3 - 19*k**2 - 41*k + 17. Is w(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 630\/130 - 0 - 132\/(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10165569933290637557299\/8201220 + -1239519234124998. Let c = v + 2\/136687. What is the common denominator of 95\/8 and c?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.60062 + -7.6. Round w to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 3*z + 3 = 0. Solve 4*j = 4*p, 2*p + z + 2 = -j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 + 39 + n)*(37 + 26 - 53) - 2 + 2 - 2*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -133 - -19. Is 19 a factor of (z\/(-12))\/(1\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 0*f**5 - 2\/3*f**3 + 3 + 0*f**4 + 0*f**2 + 0*f - 1\/2*f**6. Find the third derivative of u(n) wrt n.\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-6) - (-4)\/6) + 53. Calculate the highest common factor of j and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8850 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -119 - -140. Suppose -40745 = -v*f - 8*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.427 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -12 (b) 0.08 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 343 + 6\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + (-2 - (5 - 1 - 5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w - 679240. Let j(b) = -2*b**2. Calculate v(j(x)).\nAnswer: -4*x**2 - 679240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*j + 11, 3*j + 4*p = 3*p. Let d be (3 - 3)\/(-2 - j). Let h(v) = -v**2 - 16*v - 61. Let c be h(-8). Solve f = -d - c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216, -210, -144, 12, 288, 714, 1320?\nAnswer: 2136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 668201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.095105584 rounded to 3 decimal places?\nAnswer: 0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from iipiiipiip.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*g = -4, 5*g - 8*g - 21 = -3*s. Suppose -4*x + 1 = -7. What is the remainder when s is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/3 - 754194*o + 426606442227.\nAnswer: (o - 1131291)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 + -3 + -5)*9\/(-6). Suppose 5*o - 794 = -s*n + 397, 3*n = 2*o + 1212. What are the prime factors of n?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**4 + 3370*n**3 - 7*n + 800.\nAnswer: -12*n**2 + 20220*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 339029416 divided by 88\nAnswer: 3852607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-9)*22\/22?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/(h*h**2)*h\/((h\/h**(2\/55))\/h)*h*h assuming h is positive.\nAnswer: h**(112\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9*z**2. Let n(t) = 1873*t**2. Calculate n(o(j)).\nAnswer: 151713*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -5 - (-2)\/(6\/9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2141038, -2141038, -2141048, -2141074, -2141122, -2141198?\n\"Answer: -n**3 + n**2 + 4*n - 2141042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-7)*(-68)\/(-102).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/49*(-2)\/8)\/1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*t - 744 = 101*t + 93*t for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxuxxxxxxxxxxxux. What is prob of sequence ux?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -2\/7, -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 20*p**2 + 55*p - 52. Calculate o(22).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 4 - 1)*(-2265*w**2 + 2 - 2 + 7646*w**2 + 4150*w**2) to g*w**2 + z + h*w and give g.\nAnswer: 76248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62 - -64. Suppose 0 = g - 5*m + 1, 0 = 4*g - 3*m + 3 - 16. Is g bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/84 + 173\/420. Let j = -0.13 - 0.07. Let x = -0.1 + 0.3. Which is the biggest value? (a) h (b) x (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27951\/8 + -3500. Let w(r) = -r**3 - r**2 - r + 2. Let a be w(0). What is the common denominator of u and -17*a - (-1)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -82 (b) -2\/3 (c) 0.0087 (d) 14.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -2, -21, -10063, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -97, -148, -199, -250?\nAnswer: -301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 198 + -183. Suppose 0 = -i*n + 261 - 2511. Round n to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from yssyyyyysysys.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + -18)*(-2 + (-4)\/(-120)*10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**4 + 8261*q - 85 - 8261*q - q**4 + q**4 + 2*q**4 - q**4 - 3 + 3 + (q**2 - q**2 - 2*q**2)*(-q**2 + 2*q**2 + 0*q**2).\nAnswer: -4*q**4 - 85","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 172 + 214 = 0. Let t(z) = 9*z - 64. Let j be t(i). Let x(d) = d**2 + 4*d - 5. Let l be x(-5). Sort j, l, 2, 10 in decreasing order.\nAnswer: 10, 2, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/5, -0.4, -1\/2, 533, 39?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3588, 7011, 10438, 13863, 17280?\n\"Answer: -v**3 + 8*v**2 + 3406*v + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -8) + 1 + -2 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 4\/41.\nAnswer: -5, -3, 4\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.0031, 0.13, 3, -2, 5\/4, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6399235*p**2 + 8461121 wrt p?\nAnswer: -12798470*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i**3 - 33*i**3 + 30*i**3.\nAnswer: 13*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 - c**2 + 6*c - 1. What is the remainder when n(3) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2692 = -240*s + 668 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2949737?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17135016 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*2 + -37 + 1 + 4. Let z = -15 - c. What is the first derivative of -8*q**2 - z*q**2 - 2*q**2 + 20 wrt q?\nAnswer: -50*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39783 by -274.\nAnswer: -39783\/274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 29. Is i equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 19*w - 32. Let f be x(20). Let o(a) = 2*a**2 + 12*a - 18. Does 21 divide o(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -6. Suppose -p*k = k - 10. Suppose -3*o + 0*o - 18 = -5*j, 10 = 4*j + k*o. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 2 - 9 - 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 346 - 6.6\nAnswer: 339.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 4 + 5 - (5*sqrt(243) + sqrt(3))**2) + 4 + sqrt(147)*-5 + -3.\nAnswer: -6338 - 34*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2811 - -4.2811. Which is the third smallest value? (a) -1\/2 (b) -11\/3 (c) 1 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2535727 (base 9) to base 6\nAnswer: -45342211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, s: 7, e: 1, c: 2, x: 6}. What is prob of picking 2 n and 2 s?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 9.4. Let n = m - 0.6. What is the closest to 0.1 in -1\/3, -3, n?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 147725517 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(45)*1 + sqrt(45) - sqrt(5))*-2 - (sqrt(180) + sqrt(180)*2)*2))**2.\nAnswer: 380880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 2)*(5 + 4 - 4)*(2 - 3 - 5)*(0*a + 2*a + 0*a).\nAnswer: 240*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -15*r**2 - 33*r - 2. Let g be n(-2). What is j in 1\/4*j**2 + 0*j - 1\/2*j**3 + 0 + 1\/4*j**g = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 6 - 12)*(-r + r - 2*r)*(1 + 1 - 4) - r - r + r.\nAnswer: -117*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 47 - (-1285 + 1395).\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -21. Let c(g) = 2*g - 8. Let y be c(i). Let h = -355 + 419. What is the greatest common divisor of y and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 63.5?\nAnswer: -63.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5346 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 392, 909, 1612, 2489, 3528?\nAnswer: 4717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h\/(h\/h**0*h))\/h)**50\/((h\/((h*h*(h\/h**0)\/h)\/h))\/(h\/h**(-4\/9))))**(-5))**26 assuming h is positive.\nAnswer: h**(56810\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2043 (base 5) to base 10\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 divided by -10?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 477 and 470 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 549, 537, 515, 483, 441, 389, 327?\n\"Answer: -5*i**2 + 3*i + 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q + 25 + 31. Let f be 24\/84 + 2312\/q. What is the common denominator of 4*2\/20 - 268\/f and -169\/30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + c**5 + 9*c**5 - 5*c**5)*(-17 + 15 + 6).\nAnswer: 20*c**5 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 4:50 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-14 + -9 - -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19978310 by -16511.\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -481.9257 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 7 = 5*i - 2*o, 4*i - 2*o = 2. Suppose q + 8 = 3*w, -i + 19 = 5*w - 3*q. List the prime factors of (2\/(-1))\/(w\/(-11)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((-3 - -1) + 0). Let a = 470\/3 + -158. What is the nearest to -1 in k, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63336 and 1218.\nAnswer: 63336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1292152 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1131953, -2263594, -3395235, -4526876, -5658517, -6790158?\n\"Answer: -1131641*q - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/20)\/(((-324)\/(-330))\/(-27))*-4.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z**5 + 432230*z**4 - 96106*z**3 - 1296654*z**2 + 1152616*z - 192104 = 0. Calculate z.\nAnswer: -24013, -2, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205 + 65 = 20*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 7 = -3*c. Suppose 16 = 2*u - t - 4*t, 0 = -3*u + c*t + 13. What is the derivative of 3*v**2 + 11*v**4 - u*v**2 + 9 - 1 wrt v?\nAnswer: 44*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - q - 20085*q**2.\nAnswer: -20085*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) -8 (c) -0.141 (d) -0.2 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530 = 6*o + 190. Let a = o - -269. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 470 = 7*n - m, 4*n + m = 629. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 23*a**3 + 9*a**2 - 5*a + 8. Determine j(2).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 118 divided by 2\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 47. Let z(g) = g**2 + 7*g + 12. Let a be z(-5). Solve -16 = -a*o + 2*w, 4*w + 11 = -k*o + 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -445*h + 3126. Give r(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 101?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -28\/5. Let u = -2 - 2. Which is the third smallest value? (a) 2\/19 (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9, 0, -15, -36, -63?\n\"Answer: -3*a**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 718 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1747 + 4286. What are the prime factors of f?\nAnswer: 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (0 - 2\/(-16)). Suppose -4*t - 36 = 0, -2*k + 13 = -330*t + 329*t. Factor 3\/8*y + 3\/8*y**k + b + 1\/8*y**3.\nAnswer: (y + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 3*d**2 + 2. What is the units digit of x(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 7:53 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 547961095 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/499?\nAnswer: 2\/499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*-2*-5)\/(sqrt(1210)*-2)*-5.\nAnswer: 25*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12085 - 10?\nAnswer: -12095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(24)*1)\/(sqrt(1728) + sqrt(1728) + 2*sqrt(1728)).\nAnswer: -sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0, 0.060667, -3\/10, 1 in decreasing order.\nAnswer: 1, 1\/2, 0.060667, 0, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 3*r - 11 = 0, -x - 3*r - 19 = 4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(63)\/sqrt(7)*-6)*-3.\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7187799 is divided by 3320.\nAnswer: 3319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-64)\/(-144))\/(((-2)\/6)\/((-3)\/(-2))). Let x(k) = -2*k**3 - k**2 - 3. Let u(l) = -2*l**3 - 2*l**2 - 4. Calculate p*u(r) + 3*x(r).\nAnswer: -2*r**3 + r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 190 - 277. Let w = 90 + i. Sort 4, w, -29 in ascending order.\nAnswer: -29, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f1f - -4?\nAnswer: -2f1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272*d - 60*d + 169*d.\nAnswer: 381*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - 0. Let j = -1698 - -123966\/73. Let v = j - 352\/365. What is the second smallest value in f, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215018017*a - 215018017*a + 2047*a**3.\nAnswer: 2047*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 197 + -193. Suppose u*i - y - 158 = 0, -5*i - 3*y + 185 = 2*y. Calculate the remainder when i is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**4\/6 + f**2 + 23*f. What is the tens digit of j(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, c: 1, z: 1, l: 4, w: 3, g: 1}. What is prob of picking 1 w, 2 e, and 1 z?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 686*k**2 - 18 + 709*k**2.\nAnswer: 23*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 6*a = -2*a - 7 - 32, -23*n = -27*n + 3*a - 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -620 + 365. Let j = 372 + g. Round j to the nearest integer.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214659 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 75735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77 + 541\/7. Let i = 2.3286 - -6.6714. Is i > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*o**2 + 4*o**2 - 6*o**2)*(-2 - 1 + 0)*(-o**2 - o**2 + 0*o**2) as h*o + j*o**4 + f + x*o**3 + u*o**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -11*z - 48. Let s(n) = -9*n - 50. Let t(j) = 5*d(j) - 4*s(j). What are the prime factors of t(-13)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002922 to 7 decimal places.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1836047790 minus 5?\nAnswer: 1836047785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-3) - 2\/3. Let k be -595 - ((9 - 3) + q). Is (-4)\/8 - k\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.948612l in millilitres?\nAnswer: 2948.612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*g - 37, -3*l + 5*g + 83 = 12. Let i(r) = r**2 + 19*r + 8. What is the hundreds digit of i(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 13. Let f(z) = 2*z + 1. Let g be f(u). Suppose 3*o + 3 = -2*k + 2, k - 13 = g*o. What is the lowest common multiple of 16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-3)*1452\/(-3146)*78\/(-16)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**2 - 67*u - 66 = 0.\nAnswer: -66, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-534)\/712*((-6)\/9 + 2\/6)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -17*p - 6. Suppose 3*n = 9 - 24. Is x(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -h - 9, -3*h + 2*h - 2*t = 0. Let f be h\/(-27) - (-2)\/9. Suppose 65*v - 24 - 72 - 164 = 0. Solve 5*g - 6 = -4*p + v*g, f = 2*p - 3*g - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 - 2*r**2 - 46 + 98.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 20 + 80. Let i = r - -98. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34229 + 34*i**2 - 23213 - 29297.\nAnswer: 34*i**2 - 86739","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 - 95. Let v = -122 + 42. What is the tens digit of (0 + 0 - l\/(-2))*v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-6) + 37\/(-6). Let v(a) = -a**3 - 7*a**2 - 7*a + 3. Give v(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 12*v - 8. Let p be w(-13). Suppose 8 = p*t - t. Which is the smallest value? (a) 4 (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**7\/10 + 7*n**3 - 16*n**2 + 27. Let w(x) be the second derivative of z(x). What is the derivative of w(c) wrt c?\nAnswer: -84*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -446015\/94 + 4745. Let l = 32316 + -129189\/4. Calculate the common denominator of n and l.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/((-6)\/2))\/(-1). Let f = 42.1 + -42. Sort f, 4, g.\nAnswer: f, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 7:53 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3258270 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -o + 6*o. Let f(p) be the third derivative of -5\/24*p**6 + 0 - 2\/3*p**3 + 0*p - 1\/12*p**o + 2\/3*p**4 + 2*p**2. Solve f(n) = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.11 and -15?\nAnswer: 31.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*c + 4*c + 3*u, 4*u + 44 = -4*c. Calculate the remainder when 13 is divided by (-168)\/(-18)*(-6)\/c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -72, 3*x + 28*c - 75 = 26*c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -1. Let w(p) be the third derivative of -p**5\/30 + p**4\/6 - p**3\/2 + 15*p**2. Let x(h) = -3*h**2 + 7*h - 5. Give j*x(q) - 10*w(q).\nAnswer: 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*p**4 - 337*p**3 - p**2 - 489*p + 33 wrt p?\nAnswer: 564*p**2 - 2022*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + (-20 + 44 - 5) + -5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - k + 3 = -0*i, -i + 6 = 2*k. Suppose i = -2*p + 4*j + 22, -2*j + 6*j = -16. Solve 0 = -4*u + p - 19 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.80906*-13.6.\nAnswer: -38.203216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 680185?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (60\/16)\/((-3)\/8). Let m(t) = t**2 + 10*t - 5. Let p be m(a). Sort -1, p, 5 in descending order.\nAnswer: 5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 16. Suppose 3*p + 0*p = 36. Let t be g(p). What is the second derivative of n + 2*n - 4*n + n**4 + 6*n**t wrt n?\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -12*r - 2. What is the remainder when f(-4) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -1. Let y be 48\/(-198) - (-4)\/(-6). Let a = 48\/77 + y. Sort a, c, 0.5 in increasing order.\nAnswer: a, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -432390 rounded to the nearest one thousand?\nAnswer: -432000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 546, 1646, 3910, 7920, 14258?\nAnswer: 23506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1 + sqrt(612) + sqrt(612) + 4)**2 + sqrt(612) + 1 + -1 + sqrt(612) - (-5*(sqrt(612) + 1 + sqrt(612)) + -4)).\nAnswer: 864*sqrt(17) + 14796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 7689.303377?\nAnswer: -7689.803377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 214\/17 - -881\/34. Find the common denominator of -14\/5 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 2*t - 18, -9 = 2*i - 26*t + 25*t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w**2. Let r(p) = -143*p - 1. Give o(r(x)).\nAnswer: -102245*x**2 - 1430*x - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -695*p**2 - 1394*p + 18. What is s(-2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2 - 2 + (-2 + 0 + 0)*(-i - i + i))*(2520 + 6756 + 57708*i**2 - 57710*i**2).\nAnswer: -2*i**3 + 9276*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/2)\/(7\/(-2)). Suppose -10 = 2*v + 4*s, 142*s - 147*s = 10. What is the nearest to v in 0, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/5*(-15000)\/250?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12*15\/5 - -1. Calculate the common denominator of 0 + (i\/75 - -4) and -77\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 216 + -208. Let i(m) = m**3 - 10*m**2 + 12*m - 3. Give i(g).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r + 5*n - 22 = 0, n = -2*r + 8. Let x = 6 + -5. Let p = r + x. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from ooxxoxhhxooooxxoo?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2673) - (1*sqrt(297) - sqrt(297))\/sqrt(9))\/(sqrt(135)\/sqrt(5) - sqrt(27) - (sqrt(3) + (sqrt(3) - -2*3*sqrt(3)))).\nAnswer: 9*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 8) in base 6?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 59769 from 567.\nAnswer: -59202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-6 - (-1 + -6) - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - -6. Let h = q + -15. Let t = -11 + h. Which is the closest to -1? (a) -1\/3 (b) 1\/10 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -615*z - 3. Let u(w) = 611*w + 3. Calculate 2*o(f) + 3*u(f).\nAnswer: 603*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqqqqqlqqzzzssqq. What is prob of picking 2 z and 2 l?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2171*z**3 - 38562 + 38562 + (-3*z + 6*z - 2*z)*(3*z - 3*z + 2*z**2))*(1 + 1 - 3).\nAnswer: 2169*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/6)\/((-3)\/12). Suppose -126 = -0*x - 2*x - k*g, -2*x - 3*g = -130. Let n = x + -25. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 9:19 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 170, 348, 528, 710, 894, 1080, 1268?\n\"Answer: j**2 + 175*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r**2. Let y(b) = -1062564*b. Determine y(h(v)).\nAnswer: 5312820*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i - 7*i + i)*(-3*i**2 + 2*i**4 + 3*i**2) + 4 - 4 + 3*i**5 - 2*i**5 + 7*i**5 + 22*i**5 - 2*i**3.\nAnswer: 34*i**5 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -136.1, 2\/3, -8 in decreasing order.\nAnswer: 2\/3, 0, -3, -8, -136.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75*f*m**6 - 33326*f*m**3 - 1414*f*m**2 + 309*f - m**2 wrt m.\nAnswer: 9000*f*m**3 - 199956*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -26*n**2 - 16*n + 20. Let z(s) = -7*s - 5*s**2 - 7*s + 4 + 11*s. Let l(k) = 3*m(k) - 16*z(k). What is the first derivative of l(y) wrt y?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 3*y + 15. Let d be 23393204\/10 - (-6)\/y. Suppose 3*a - d = 1170680. What is a rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 5*h + 119 - 169, 3*h - 9 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = g + 49, 0 = -i - 2*i + 3*g + 39. Let u be (i\/(-4))\/(-1) + -2. Which is the biggest value? (a) u (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*q - 36 + 36)*(17*q + 6*q - 2*q) - 3*q**2 - 2 - 3*q + 3*q as h + v*q**2 + c*q and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 - -5)*(-1)\/1. Let o be l\/(-16) + (-3)\/4. Suppose 2*r = 5*n - 2*r + 285, -2*r = o. Round n to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 1:22 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbqi when four letters picked without replacement from bqqqbiibbqbiqqqq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -0.014267?\nAnswer: -4.985733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9*148.366\nAnswer: 1335.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 664 - 630. What is the highest common factor of h and 255?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(126\/(-27))*40\/(-168)*-7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-12) + 3*95\/(-225)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-9)*3\/(-2). Let o be ((-6)\/t)\/(5 - 1). Let i = 14 - 18. Which is the closest to 0? (a) 3 (b) o (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) 2\/5 (b) 3 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*p - 31. Suppose p = v + 21. List the prime factors of (-3)\/(-12)*v*-8.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1594, -14072, -48384, -115450, -226190, -391524?\nAnswer: -622372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -15. Suppose 478 = 4*b - w, w = a*b - 3*w - 603. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2 + 12. Let h(s) = -s**2 - s. Let x(z) = 5*h(z) + q(z). Let v be x(-7). What are the prime factors of (11 - (4 - -2))*(-30)\/v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -565*m**2 + 0*m + 5*m - 5*m + 580*m**2. Let g(t) = 62*t - 2. Give s(g(c)).\nAnswer: 57660*c**2 - 3720*c + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -34610 divided by -5\nAnswer: 6922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 55542?\nAnswer: -55536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*o = 0. Suppose 5*f - 9*f = -48. Let q be 1\/3 - (-2)\/f. Which is the closest to q? (a) o (b) -5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 145 and 140795?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = -18*h. Suppose s = -h*s. Suppose 7*w - 17 + 3 = s. Solve 0 = 5*i - 2*d + 4, 0 = -w*i - 4*d - 2 + 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66*f**4 + 3*f**2*t**3 + 3*f*t**2 - 8*t**3 - 3 wrt f.\nAnswer: 792*f**2 + 6*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 36 - 21 + 2*w**2)*(-1 + 1 + 2)*(3*w - w - 4*w).\nAnswer: -8*w**3 + 48*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -40 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-6) + (2 + -4)\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + (-26)\/(-6))*(-4 + 19). Suppose 8 = n*c - 2. Let d be (18\/(-45))\/((-2)\/70). Solve -d - 4 = j + 5*b, j - c*b = 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*y + 13*y + 1 + 3*y)*(25 - 25 - 20).\nAnswer: -720*y - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104911864 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/19 - 267222*n\/19 + 267220\/19.\nAnswer: 2*(n - 133610)*(n - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 2, -1, 2.6, 1276 in ascending order.\nAnswer: -1, 2\/11, 2, 2.6, 1276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-106)\/20)\/((30 + -14)\/(-160)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 89 = -9. Suppose j = 4*w - 8. What is the smallest common multiple of w and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - m + m. Let w(y) = 3*y. Let a(v) = v. Let q(l) = 4*a(l) - 2*w(l). Give q(s(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.926511749 to four dps.\nAnswer: 0.9265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - k - 3, 4*k - 1 = -3*f + 1. Which is the third biggest value? (a) -0.5 (b) f (c) -1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j + 8. Let s(x) = x. Let v(y) = k(y) - 4*s(y). Calculate v(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 33536230?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 377?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -242802216 or -242802215?\nAnswer: -242802215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = 5*o + l, 0 = -3*o - 3*l + 6*l + 108. Suppose -27*f + o = -22*f. Solve 2*t = -3 - f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002425135052 to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 7:47 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 615117 or 615082?\nAnswer: 615082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1197*x**6 + 4696*x**2 - 10971*x**2 + 5465*x**2 wrt x.\nAnswer: -143640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + r + 8, 2*w + 184 - 240 = -3*w - 43*r + 44*r for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 41599494 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4512, 20944, 48332, 86676, 135976?\nAnswer: 196232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/126*-4)\/((-90)\/35)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2186548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 28. Suppose 2 = -z + w*z. Let k be (-13 + 3)*(4 - (-44)\/(-10)). Put 2\/7, z, k in descending order.\nAnswer: k, z, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 b, and 1 m when three letters picked without replacement from crjcmrmbcrmrrccm?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2)\/(1\/12). Suppose k + j = -2*k. Let c be 16\/72 - 50\/(-18). What is the nearest to k in c, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 42931870, 85863742, 128795614, 171727486?\n\"Answer: 42931872*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*j + 12, -2*j - 4*h = 2*j + 8. Sort -5, j, -1 in increasing order.\nAnswer: -5, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.8 + 1.4. Let y = 5.8 + -5.8. Which is the closest to y? (a) -0.2 (b) -1\/9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104234?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**4 + o**3 + o**2 - o. Let a(z) = -14*z**4 + 4*z**3 + 8*z**2 - 4*z + 6. Let p(d) = -a(d) + 12*r(d). Solve p(v) = 0 for v.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14633 - -14636. Solve 15 = s*o + 2*j, -12*o + 4*j = -8*o - 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 12 = 4*w, 5*p - 2*w = 1099. What is the remainder when p is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u. Let n(y) = 1972286*y. Give n(v(o)).\nAnswer: 1972286*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 1 - (-494 - -476).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(19) + sqrt(95)\/(sqrt(20) + sqrt(5)) + -1 - (-5 + -3*(sqrt(19) + 0)).\nAnswer: 4 + 16*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -247*k**2*m*n**2 + 288*k**2*m - 19*k**2*n**2 - 3251*k*m*n + 2*k*m + 3*k*n**2 + 2*m*n**2 - m + 8*n wrt k.\nAnswer: -494*m*n**2 + 576*m - 38*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52350, -54562, -56774, -58986?\nAnswer: -61198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/741*-19)\/((-2)\/(-15))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, l: 1, t: 1, h: 1, y: 1}. Give prob of sequence yt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**5\/2 + a**4 = 0. Calculate a.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -8*s - 204. Suppose 0*p - 2*p = -s. Suppose 4*n - 44 = 5*i - i, -5*n + 4*i = -p. What is the greatest common factor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**4 + 42*s**3 + 480*s**2 + 1056*s = 0?\nAnswer: -4, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 10 - ((12 - -1) + 39 + -97)) + -7.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 11*k**2 + 17*k + 15. Let d be u(9). Let s be (11 - d) + (-129)\/27. What is the fourth smallest value in s, -2, 3, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.44063408 to 2 dps.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 20 = -4*w, 2*w = 5*l + w - 5. Put 3, -10, l in descending order.\nAnswer: 3, l, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3982 by 5.\nAnswer: 3982\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*r - 34 + 154. Let v be -11*27\/(-495) + (-4)\/r. Put -10, 5, v, 4 in ascending order.\nAnswer: -10, v, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f. Let d(g) = 6*g**3 - 2*g**2 + g + 79. What is -2*a(p) + d(p)?\nAnswer: 6*p**3 - 2*p**2 - 3*p + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 - 43. Let z(q) = 2*q**2 + 9*q - 18. Let j be z(-8). What is the greatest common factor of d and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/3 - 19252*k\/3 - 32070.\nAnswer: -2*(k + 5)*(k + 9621)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33750 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 + 239 = 7*j. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19924 and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 445410 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3370 - 1240. List the prime factors of w.\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1797 is divided by 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 94482601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -16*o**3 - 5*o**2 + 33*o + 127. Calculate y(5).\nAnswer: -1833","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007980254 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 640 - 328. Suppose -2*j - j + p = 0. Is j a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105a9b (base 15) to base 8\nAnswer: -2760626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/10)\/(2\/(-5)). Suppose 0 = -2*z + 2*u + 22, n*u - 19 = -z + 5*u. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -645 (base 10) in base 6?\nAnswer: -2553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/3 - (2 + (-2 - -3)). List the prime factors of (-594)\/(-81)*(1 - 19)\/u.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/8 and 9\/124.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 13*h**2 - 16*h - 99. Let b be w(-10). Let c = b - 124. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21318019*v - 21318019*v + 2*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31600 and 9443300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*q + 11, 0*q - 4*q + 13 = -o. Let t = q + -2. Suppose 0 = -10*a + 11*a - 2. Put t, -1, a in descending order.\nAnswer: a, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22993 to 2 dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 g when three letters picked without replacement from {g: 5, n: 4, y: 1, s: 1, r: 3}.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 15*o + 28. Let q be z(13). Solve -2*i - 3*j = -11, -9 = -i - q*i - 2*j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (22 + -24)) + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-77) + (-3)\/21.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + sqrt(76))*5 + 1 + 4.\nAnswer: -9 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-78)\/(-10) - (-16)\/80. Suppose -3*m + 20 = m. Suppose 3*u - o*u - 59 = -3*n, -n - m*u = -13. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, u: 6}. What is prob of sequence uu?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -5, -0.3, 0.28, -6, -20, -1\/55, 0.1?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 15651*p - 31300*p + 15652*p + 61 = 0, 0 = b + 2*p + 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1000 + -220?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -708 - -1066. Find the second derivative of 14*k**2 + 358 - 4*k - j wrt k.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 994, -2, -0.05 in ascending order.\nAnswer: -2, -0.05, 994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -3 (c) -2\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21256416.\nAnswer: 2, 3, 23, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**6\/120 + 2*p**5\/15 - 5*p**4\/12 + p**3\/3 + p**2. Is f(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27442.6 rounded to the nearest one hundred?\nAnswer: 27400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*p + p - 1 = 0, 4*p = 20. Suppose u + w - 92 = 0. Round u to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3\/2)\/(15\/20) is divided by (1 + 2\/(-3))*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-11)\/((-1056)\/4960))\/((-15)\/6)).\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010010000110100010 (base 2) to base 6.\nAnswer: 20454310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*4 - (sqrt(5) - sqrt(320))*2.\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1048390 divided by 119?\nAnswer: -8810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 36*f**2 - 36*f - 28. Determine w(-35).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(245) + (sqrt(245) - (sqrt(245) + sqrt(245) + -1)**2*-6) + sqrt(245))*1 + sqrt(245)*-1*-6 + -6*(sqrt(245) - sqrt(245)*2).\nAnswer: -63*sqrt(5) + 5882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-211 - -230) + (4 - (2 - 1))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**2 + 7*l - 9. Let w be n(-3). Solve w = 9*s - 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -9*r**2 + r + 1. Let c be d(3). Let p be c\/(-21) + 2\/6. Let l(j) = -j**2 + 2*j. What is l(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 13, c: 5}. What is prob of picking 1 a and 3 c?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 4. Let i = a + -23. Solve i*b - 10 + 1 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*s = -129*s - 10 - 65. Solve -29*i + 26*i - s*w = 5, -i - 4*w - 11 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 1 = 38*p - 37*p, 14*p - 330 = 60*p - 4*r for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a + 19. Let k(n) = -280*n + 0 - 7 + 7 + 281*n. What is k(f(m))?\nAnswer: 4*m + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*y**3 + 30*y - 16*y - 14*y.\nAnswer: 25*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 4*p + 21 - 61, 0 = 5*h - 7*p + 43 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2))**(-1\/28) assuming g is positive.\nAnswer: g**(1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(252)*3.\nAnswer: 4 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-2)\/((1690\/(-39))\/13))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 361 and 260262589.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-144)\/1044*(-6)\/(-12) - (-288)\/(-29)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 divided by -656?\nAnswer: -19\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k - 2 + 23 + k - 2.\nAnswer: -4*k + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-7293)\/(-858)*(-312)\/(-68)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 10*p + 3*r + 6 = 0, -5*p + 19 = 4*r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -499, -995, -1491, -1987, -2483?\n\"Answer: -496*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 40.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-273*y - 25*y**2 + 273*y)*(1 + 3 - 5)*((2 + 2*y - 2)*(-y + 0*y - y) + (3*y - 3*y + y)*(-4 - y + 4)).\nAnswer: -125*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1485 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 7 = 5*r - 3*g, 0 = 4*r + 2*g + 10. Let d be r\/(-6)*2*-3. List the prime factors of -1 + d*8*-2.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 9:21 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -47. Which is the closest to k? (a) -0.1 (b) -4\/3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 78*s + 7157. Determine y(-92).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 4*o**2 + o + 6. Let r be c(3). Suppose r*l = l - 0*l. Suppose l*q = -3*q + 174. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308*x**5 + 8016*x**4 + 28544*x**3 + 27840*x**2 + 704*x = 0. Calculate x.\nAnswer: -22, -2, -2\/77, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**6\/120 + n**5\/12 - n**4\/12 - n**3 - 19*n**2. Let h be z(4). Suppose -4*x + h*x + 144 = 0. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -4. Let q be 2 + (0 - (-9)\/(-3)). Let f be -5 + (l - q) - 0. Which is the third biggest value? (a) -3\/7 (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 52*d**2 + 51*d - 108. Calculate x(-53).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6568158 to 3 dps.\nAnswer: 2.657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4603756700 rounded to the nearest 100000?\nAnswer: -4603800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 315470621423 and -144.\nAnswer: 315470621279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 11*f - 8*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 5. Let s = 9 + v. Suppose s*y = y - 11100000. What is y rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 4.255?\nAnswer: -0.851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24, 33, 44, 57, 72, 89?\n\"Answer: p**2 + 6*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-40) - 0)\/((-6)\/(-45))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.7071535 hours?\nAnswer: 2545752.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q. Let r(j) = -j**3 + 9*j**2 + 7. Let z be r(9). Let b(m) = z*m - 6*m - 3*m. Give f(b(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from xyyyyxyyyyyyyyx?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -20145030 to the nearest ten thousand.\nAnswer: -20150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m + 28. Let z(f) = 14*f + 126. Let b(u) = 9*s(u) - 2*z(u). Let w(p) = p**2 - 1604. Give b(w(o)).\nAnswer: -o**2 + 1604","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38483256391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1044*u + 1049*u + 4*v + 16, -u + 2*v - 6 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 815134*q - 2. Let v(f) = -f**2. Calculate o(v(t)).\nAnswer: -815134*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*1\/(-164)*818\/818*-4?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 202519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(2)*-1 + ((-2*sqrt(20))\/sqrt(10))**2.\nAnswer: -2*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 + 56. Solve -i + h*i + 10 = 0, -2*i - 6 = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2748 - 18818. What is q rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 - -93. Calculate the remainder when 2*107\/(-10)*(-45)\/9 is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*l + 271 = 1254, 0 = 4*p + 3*l + 781. Is p less than -198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 9*g**2 - 3*g**2 - 3 - 11*g**2 + 2*g. What is k(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 + 18 - 23) + 30?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**7\/1260 + 9*g**6\/20 - 2187*g**5\/20 + 5*g**4\/8 + 21*g**2 + 8. Let b(i) be the second derivative of j(i). Factor b(l).\nAnswer: -2*(l - 81)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**5\/15 + 5*d**3\/6 + 3*d**2. Differentiate s(n) with respect to n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 32*d**2 - 208*d + 25. Let c be f(23). Suppose -4*i + 3*l - 1 = 16, -4*l + 14 = -i. Let b = 5 + i. Solve -b*a = -2*a + c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 12:23 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + i = -38, 4*i - 56 = -3*f + 6*i. What is the smallest common multiple of 88 and f?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5260908*k**3 - 32*k**2 + 187592128*k - 1 wrt k?\nAnswer: -31565448*k - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -93*i**2 + 2*i - 348 wrt i?\nAnswer: -186*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 4*v + 9. Suppose -5*q = -l + 20, -4*l + 20 = -5*q - 2*l. What is the least common multiple of r(q) and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 - -4 - 16\/(-9). Let g = -0.027 - -5.627. Let s = g + -6. Which is the nearest to -1? (a) f (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 321352?\nAnswer: -321346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 261 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + y)*((3*y - 2*y + y)*(y + 2*y - y) - y**2 + 3*y**2 - y**2).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 27110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + ((1 + sqrt(1539) + (3*sqrt(1539) - sqrt(1539) - sqrt(1539)) - (sqrt(1539) + -1 + 0)) + -2)**2).\nAnswer: 4623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 6*s - w - 25245, -3*s + 15119 = 5*w. What are the prime factors of s?\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f - 1790 + 2690 = 0. Let l(m) = 4*m**2 + 7*m - 3. Let v be l(5). Calculate the highest common factor of v and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 861 and 1968?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/387 and -55\/633777?\nAnswer: 1901331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o - 4*o + 3*o)*((-7 + 3 + 2)*(-3 + 7 - 3) + 1 - 7 + 3) - 1284*o - 230 + 230 + 3526*o.\nAnswer: 2212*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 219929 and 385561411?\nAnswer: 12937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -101?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 221023121?\nAnswer: 221023122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 10*r**2 + 10*r - 7. Let j be d(9). Solve j*x - 6 = 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3. Let u = -57 + 9. Let t = u + 46. Let d(a) = a**3 - 16*a. Let p(l) = t*v(l) + d(l). What is the second derivative of p(q) wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*u = -u - 159, -h = -5*u - 77. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88162 is divided by 3673?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(3)*-4 + sqrt(24))\/(sqrt(8) - sqrt(72)\/(sqrt(9) - (sqrt(81) + sqrt(9)))) - ((sqrt(363) + -2 - sqrt(3))**2 + 2 + (sqrt(75))**2).\nAnswer: -381 + 151*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -2\/15, 4862, 12\/11?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00051829 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + -3 + 2*sqrt(500)*3 + (sqrt(500) + 1*sqrt(500) + -1 - (sqrt(500) + -1*(sqrt(500) + -2*sqrt(500)))))**2.\nAnswer: -360*sqrt(5) + 18012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 3*o**4\/32 + 21*o**3\/4 + 987*o**2\/16 + 108*o - 799. Find z, given that a(z) = 0.\nAnswer: -32, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*d - 2984 = d, 0 = -2*d - 8. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2532*g**2 - 3*g**5 - 2532*g**2 + 20*g**4 + (-2 + 0 + 3)*(-g**5 + 0*g**5 - g**5).\nAnswer: -5*g**5 + 20*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axxa when four letters picked without replacement from {g: 3, a: 2, x: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(-39)\/(p*p**(1\/3)\/p*p*p*p**(5\/2)*p) assuming p is positive.\nAnswer: p**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(171)*2 + 6*1*sqrt(171))\/(sqrt(90)\/(sqrt(640)*3)))**2.\nAnswer: 3545856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in -64, 5, -4, 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (16\/8 - -420). Suppose -3*f + 12 = 0, -55*t = -59*t - 2*f + u. What is the greatest common divisor of t and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 222 + -92. Let i = -129.9 + w. Which is smaller: i or -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1534032984?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.8 or -0.3085023?\nAnswer: -0.3085023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7283?\nAnswer: 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k + 6. Let w(u) = 7*u + 9. Let s(t) = -6*p(t) + 4*w(t). Let i(v) = -6*v - 6. What is s(i(j))?\nAnswer: 12*j + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12403 is divided by 344.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/3)*v)**(1\/7)\/(v*v**10*v*v**(-2\/5)*v) assuming v is positive.\nAnswer: v**(-1303\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92376 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crzzmmzccmz. What is prob of sequence mzcr?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 372 + -311. Let w(u) = -129*u**2 + 2*u + 1. Let t be w(-1). Let m = h - t. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3301\/2 - -1604. Find the common denominator of (-18 - -35)\/(-4 - -13 - 1) and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 4, l: 2, r: 1, w: 7}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-842 - 1)\/(2\/(-6)). Suppose -4*c + f = c - 3*a, 4*c + 2*a - 2032 = 0. Let p be -2 + 1 - (2 + c). What is p rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-6) + (-44)\/(-44)*2191\/42 + 13?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-78)\/(-21) + ((-4)\/(-7))\/2. Suppose 3*n + 20 = -n, 4*g = -j*n - 28. Let w be 4\/g*4\/(-2). Solve 4*b + 17 = -h, -w*h - 5 = -5*b - 0*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84583 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -623*v**3 - 22*v - 1. Let u(l) = 208*l**3 + 8*l. Calculate 8*u(h) + 3*w(h).\nAnswer: -205*h**3 - 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9569748 divided by -208038?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*-9 + (-637)\/(-49). Let r(v) = 2*v + 11. Determine r(n).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1.499772m?\nAnswer: 0.001499772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -39853?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -36*-68.6\nAnswer: 2469.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/((12\/6)\/(-10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2727*g + 1665 = -2912*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight fifteenths of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 665*g + 272*g + 173*g + 63*g + 75*g - 159*g.\nAnswer: 1089*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -11*h - 3*u - 1985, 2*h - 1005 = -u. What is h rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18224 + 3531 = 5*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2\/g**(-3)*g*g**(-2)*g**1)\/((g**(-1\/4)*g**(-3\/8))\/(g**4\/(g*g\/g**6*g*g))) assuming g is positive.\nAnswer: g**(93\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - -224. Does 96 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66637 is divided by 47.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*(-2 + sqrt(396) - sqrt(396))*-2*-6)**2.\nAnswer: 57600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + x - x)*(-4 + 3 + 2)*(-4 - 3 + 2).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o + 4*o - 15*o**2 - 4*o)*(316*o + 111*o + 518*o)*(-2*o - o + o) to k*o**4 + f + i*o + t*o**2 + j*o**3 and give k.\nAnswer: 28350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**3 - 231725850*z**2 + 5*z + 231725850 = 0. Calculate z.\nAnswer: -46345170, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310012 (base 4) to base 11.\nAnswer: 2561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*m - 15*m - 20*m + 63 = -4*m + 11*r, 18 = -m - 4*r for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -205466, -411329, -617192, -823055, -1028918?\n\"Answer: -205863*r + 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -1, 0, 1 in increasing order.\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 42254326 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 less than -228?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, -0.3, -3, 586, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 2*i + i)*(2687432 - 2687432 - 6796*i + (2*i + 0 + 0)*(3 + 1 - 3)).\nAnswer: -13588*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 8 = f, -6*f + 2*f - 4*g + 40 = 0. Let s = 53 - f. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32634 by 3626.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43568134*t**2*v**2 - t*v - 10*t - 1572*v**2 wrt t.\nAnswer: -87136268*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 385 - 422. Let f = 66 + r. Does 27 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4951391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 42*y**2 - 2*y - 1. What is the remainder when x(-1) is divided by ((-4)\/6)\/(1*12\/(-396))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 76, 6, -24, 0.4, 0.5 in decreasing order.\nAnswer: 76, 6, 0.5, 0.4, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -331, 5, 2\/5, -0.19, 0.1, -3 in ascending order.\nAnswer: -331, -3, -0.19, 0.1, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 569636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**2 - 300*f - 22500 = 0.\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 17*f**4 - 49*f + 3*f**2 - 27\/4*f**5 - 1 - 25\/2*f**3. Factor l(p).\nAnswer: -3*(p - 1)*(5*p - 2)*(9*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 23 = 23*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -214, -220, -224, -220, -202, -164, -100, -4?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 < -5746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - 6*i - 12. Let t be q(6). Suppose 19*x = t*x - 360. Suppose -x = -a - 4*s, -36 = -a + 2*s + 18. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*b = 95*b - 72. Calculate the lowest common multiple of b and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21288779.\nAnswer: 21288779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 7:53 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17888 - -0.1.\nAnswer: -17887.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 2:10 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/40 and (2672\/160 + -16)\/(114\/(-165) - 2)?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-49) + 110\/14 - (-56 + 40)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 11) + 1 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5155216 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -63, -5, 6103, -7 in descending order.\nAnswer: 6103, -2, -4, -5, -7, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 303053*h**3 - 1040157 wrt h?\nAnswer: 909159*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 65 = o. Let c = 34 - o. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-44) - 1*12\/66. Let m = -0.3 - -1.7. Let p = m + -3.4. What is the fourth biggest value in f, p, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 9*m - 13. Let n be s(-10). Sort n, -2, 1 in descending order.\nAnswer: 1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + -13?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/3, 1\/2, 1\/4, 150 in descending order.\nAnswer: 150, 3, 1\/2, 1\/3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20260 - 4626. Let k = 422189\/27 - t. Find the common denominator of -11\/21 and k.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5250190.\nAnswer: 2, 5, 11, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6407 divided by -4\nAnswer: -6407\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -24, 5, 0 in increasing order.\nAnswer: -24, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0545 rounded to three decimal places?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.35894 + 0.359. Round u to 6 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 23 + -3 - 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.034 - -0.166. Sort n, 0, -5.\nAnswer: -5, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (46\/(-1518)*-22)\/((-3)\/30)\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h**4 + 5*h**4 - 4*h**4 + (h**3 + h**3 - 3*h**3)*(-1 - 2*h + 1) + 6*h**3 - 6*h**3 + 5*h**4 as p*h**2 + q*h + m + o*h**3 + r*h**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -492*i. Let d be h(-5). Round d to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 770.969km?\nAnswer: 770969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3070, -6200, -9336, -12472, -15602?\nAnswer: -18720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -9*v**3 + 5*v**2 + 4*v + 9. Let f be (-1 - -1)*69\/(-138) - 2. Let k(u) = -5*u**3 + 2*u**2 + 2*u + 4. Determine f*g(c) + 5*k(c).\nAnswer: -7*c**3 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - (sqrt(91) + (sqrt(91) + (2*sqrt(91) - sqrt(91)) + sqrt(91))*1))\/(sqrt(7) - sqrt(42)\/sqrt(6)*5))**2.\nAnswer: 117\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2. Let u(k) = 4 + 2*k - 4. Let v(x) be the first derivative of x**2\/2 - 34. Let n(d) = -2*u(d) + 3*v(d). Calculate q(n(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 643.728 milliseconds to microseconds.\nAnswer: 643728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one sixths of a decade?\nAnswer: 820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*s - 98*s - 162 = 161*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -6. Solve 0 = 5*d - k, -5*d + 18 - 3 = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 6*l - 7. Let u be (-5)\/25 + 79\/(-5). Let o = -11 - u. What is z(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -104\/3*b + 8 + 22*b**2 + 14\/3*b**3 = 0?\nAnswer: -6, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b**2 - 9*b + 1. Determine p(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 0*l + l**2 + l - 4*l - 3*l. Let k be d(5). Let y = k + 12. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-106)\/14 - 12\/28. Let z = 11 + u. Is z not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/(f**(3\/5)*f*f)*f)*f)**(-3\/11)*f\/(f\/(f*f**3\/f*f))*f*f**(-2\/7)\/f)**(-34) assuming f is positive.\nAnswer: f**(-35768\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -5. Let k(m) = 1 + 0*m + m**2 + m**2 - m. Let o be k(c). Solve o*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 40 = 4*h. Suppose -4*i + z + 0*z = -22, 4*i - 14 = -3*z. Suppose 0 = -i*l + l - h. What is the closest to l in -2\/19, 5, -5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350\/(-28) + 4941\/405.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -22b6 (base 14) to base 10\nAnswer: -6040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.35 + -0.15. Let j = -6 + s. Let p = -3 - j. Sort 5, p, -2\/5.\nAnswer: -2\/5, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -2126, 8 in increasing order.\nAnswer: -2126, -3, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 8 = -y, 0*f = 4*y + 5*f - 23. Suppose y*w = 4*w + 24. Suppose 4*x + w = -8. Put x, 1, 2 in descending order.\nAnswer: 2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 15*s + 96. Calculate the remainder when x(6) is divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 1 = -17, 0 = j - k + 2. Let v be (-254)\/(-70) - 3\/15. Determine i so that 55\/7*i**3 + 27\/7*i**4 + v*i + 5\/7*i**5 + 4\/7 + 53\/7*i**j = 0.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2. Let s(w) = 108*w - 83. Determine s(o(u)).\nAnswer: 324*u**2 - 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34.01765633 - -0.01712633. Let g = r - -34. What is g rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 354282087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2485, 3569, 4653, 5737?\nAnswer: 6821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2215857 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5771637*i*j**4 - 69*i*j + 257*i - 830086 wrt j.\nAnswer: -23086548*i*j**3 - 69*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64111 and 18544?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 20*a**2 + 21*a - 498. Calculate u(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 3*z - 4*u - 30, -5*z = -u - 50. What are the prime factors of (-152)\/(-5) + (-4)\/z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(4*sqrt(8) + sqrt(8))*3 - 4*(sqrt(3) + sqrt(75) + -2)**2)*-6.\nAnswer: -2898*sqrt(3)\/5 + 2688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*b - 137*b = 0. Let t(a) = -13 + 16*a + b*a - 15*a. What is t(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1796 = 3*y + r, 4*y + 24*r - 19*r = 2413. Let i = y + -597. Let v(a) = -2*a**2 - a + 2. Determine v(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 10. Let v be ((-6)\/3)\/((-2)\/d). Let c(j) = -3*j - 36. Let w(o) = 4*o + 55. Let b(k) = 3*c(k) + 2*w(k). What is b(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 6*n**2 + 7*n + 6. Suppose 0 = 10*a - 9*a - 5. Let g be (-468)\/90 + 1\/a. What is the tens digit of p(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 17*j + 150. Calculate the least common multiple of 140 and d(-19).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 1:01 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g*g**6*g))\/(g\/g**4))\/(g**2*g*g**4*g))\/(g**6\/(g**(4\/9)\/g))**(-8\/9) assuming g is positive.\nAnswer: g**(-581\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 182092043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -1. Suppose -18 = -4*s + 5*r, -2*r - 3*r = -x*s + 4. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2212101 (base 3) to base 9.\nAnswer: -2771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 15*g + 18. Let w(a) = -44*a - 55. Let s be 4\/(-6) - (-310)\/(-30). Let h(v) = s*r(v) - 4*w(v). What is the derivative of h(t) wrt t?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -1\/2 (c) -1\/3170\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + -1*(sqrt(175) + -1) + -4)*1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dacdtso. What is prob of picking 1 o, 1 a, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*2 + 5 + (2*((sqrt(2299)*1 + sqrt(2299) - sqrt(2299)) + sqrt(2299)) - sqrt(2299)))**2.\nAnswer: 550*sqrt(19) + 57500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 159 = 135. Sort 1, 13, t.\nAnswer: t, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3574*i - 264406. What is j(74)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 4*g - 12, u + 0*u = -3*g + 1. Solve -p - 4*p + 5*k - 20 = 0, -u*k + 14 = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 7:06 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-14) + (-18)\/63?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 15505*u - 108549. Determine j(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 34578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzmzmmmlmelzllllml. What is prob of sequence el?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 13*o - 138. Let r be c(11). Find the second derivative of -88*h**r + 171*h**5 - 30*h - 87*h**5 wrt h.\nAnswer: -80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 - 7*h**2 - 3*h + 4. What is r(5)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 6.4. Let l = 10.4 + m. Which is the nearest to 0.1? (a) 4 (b) -2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9402140, -9402145, -9402152, -9402161?\n\"Answer: -l**2 - 2*l - 9402137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0374 < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (133\/(-42))\/(152361\/1188)?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 250561000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + i + 6 = 0. Suppose -3*w + 4 = -i. Suppose 2*z + 0 = 3*m - 7, 4*z - 31 = -3*m. Solve z*q + l - 1 = 4*l, 4*q = -w*l + 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8094, 15810, 23526, 31242?\n\"Answer: 7716*m + 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 351 and 21879?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -75713a91 - 1?\nAnswer: -75713a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = 19*w - 7, -10*x - 2*w + 4 = -14*x - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 7*c**2 - 2*c + 6. Suppose 2*p - 6*p + 12 = -4*a, 2*a - 8 = 0. Let x be t(p). What is the tens digit of (-12)\/(-18) - (-21)\/(-18)*x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2188848182 to the nearest one hundred thousand.\nAnswer: -2188800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 138, -8289, -31164, -75711, -149154?\n\"Answer: -1204*i**3 + i + 1341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-3)*138816\/(-67480).\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13350396?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen quarters of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 931 + -930.9597. What is z rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*n - 21 - 3, -3*n + 5*y = -32. What is the third derivative of 197*z**2 - 138*z**6 - 352525*z**4 + 352525*z**n wrt z?\nAnswer: -16560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d - 65*d**2 + 399*d**4 - 398*d**4 + 1 - 4*d**3 + 4*d**3 to a + c*d**4 + v*d**2 + m*d + r*d**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 875509 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: Multiply 17449567 and 1.5.\nAnswer: 26174350.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 19853*m - 456093. Give r(23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -101412.9558 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/3 + 1462*i\/3 - 1460\/3.\nAnswer: -2*(i - 730)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 889439, 889434, 889427, 889418, 889407, 889394, 889379?\nAnswer: 889362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-10)*(-27)\/297.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1427.27 + -1416. Round o to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12607200 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1853 - -5456?\nAnswer: 71a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**20)**(8\/5)*(u*u*u**(-7\/3))**26 assuming u is positive.\nAnswer: u**(374\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 190*n**2 - 280416*n + 1894. Determine c(-633).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1915 = -58993*m + 58915*m - 277 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 2*u. Suppose 0 = 5*c + m - 6, 0*m + 5 = c + 4*m. Suppose -k + u*y = y - 5, -y = -3*k - c. Solve -2*z = k + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 10, l: 4}. What is prob of sequence ll?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -3229cd?\nAnswer: -3229d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by -13.\nAnswer: 108\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 11*u**4\/12 + u**3\/6 - u**2. Is w(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(420\/16) - 8*565\/(-70). Solve -21*q - 11*q = -s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2256*w + 209 + 2103 + 1252 = 2364*w for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4922942959 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*l = -185 + 17 - 504 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -211 - -78. Let q = 137 + j. What is the second smallest value in q, 0, 3\/2, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81705960*c**3 - 5211*c**2 + 13341*c wrt c.\nAnswer: 490235760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 2211.\nAnswer: 2211.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4515689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2901?\nAnswer: 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/11330 and -41\/1854.\nAnswer: 101970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72.61 - 72. Let i = 0.09 + p. Let m = -0.4 + i. Which is the closest to 3\/10? (a) 3\/7 (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103292843*t*w**4 + 11*t - 4*w**5 - 68611*w**2 + 67 wrt w.\nAnswer: -2479028232*t*w - 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(27\/(-30)) - -2. Let d = f - 5. Suppose -4*a + d*p - 4*p = -16, -3*a + 2*p + 12 = 0. What is the greatest common divisor of a and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 769*t + 706*t = 1539*t + 256 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45714 + 7405705\/162. What is the common denominator of 133\/432 and a?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 243*v**5\/4 + 157599*v**4\/2 - 6767160*v**3 + 5968536*v**2 - 1322880*v = 0?\nAnswer: -1378, 0, 4\/9, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*w + 600 + 4*w - 602 to the form m*w + x and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158a1a (base 13) to base 11.\nAnswer: 334818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*2\/(-8)*-2. Let n = k + -11. Suppose -59400 = 36*y - 59544. Is y at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 3, 0, -2, 247?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/3 - 130153*s**3\/3 + 43384*s**2.\nAnswer: s**2*(s - 130152)*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 595 and 69665099?\nAnswer: 348325495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19192, 12831, 6470, 109, -6252?\nAnswer: -12613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -1.83 (c) -88 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 31\/4, 2\/13961, 2\/17?\nAnswer: 2\/13961","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 6*l + 0 + 11 + 1 + 1.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wprwrrrpwwrwwww. Give prob of picking 1 r and 1 p.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 10. What is the smallest common multiple of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 15*q**2 - 21*q - 32. List the prime factors of h(-16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1112100 (base 4) to base 2.\nAnswer: 1010110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121 + -121?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 981*p**3 - p - 3 + 1814*p**3 + 2099*p**3 - 1508*p**2 + 1508*p**2.\nAnswer: 4894*p**3 - p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 - 9726*r**2 + 2397585*r + 4834098.\nAnswer: 3*(r - 2973)*(r - 271)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51049*x - 5*x**3 + 27572*x + 23477*x - 6*x**3.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in millimeters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 8*g + 18. Let q be m(7). Let w(x) = 5*x - 24. Is w(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1777*a + 2196*a = 1811*a + 10810 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*n = -119*n. Let t(k) be the third derivative of -k**4\/12 + 11*k**3\/6 - 5*k**2. Calculate the remainder when 52 is divided by t(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -252860, -505713, -758566?\nAnswer: -1011419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -339, -289, -191, -33, 197, 511?\nAnswer: 921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 32.8. Is h < 0.17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 4\/(15\/(465\/14)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 m, 1 f, and 1 r when four letters picked without replacement from {d: 1, o: 8, f: 1, r: 1, m: 2, t: 2}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 3*j + 3*u, u - 235 = -2*j - 3*j. Solve 11*q = -q + j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224395 to the power of 1\/2, to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 - 23 = -3*y. Let t be (-5)\/(-80)*y + (-4)\/2. What is the second biggest value in 2\/13, -3, t?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.483, -210\/11, 2?\nAnswer: 0.483","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 13, r: 1, g: 1, z: 2}. What is prob of picking 1 r and 2 z?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3, p = 4*p + x - 5542. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283*p + 303*p + 1368*p + 292*p.\nAnswer: 2246*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21.2518 and -0.1?\nAnswer: 2.12518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(125) + sqrt(125) + 0 + sqrt(125) + sqrt(125))**2 + (sqrt(15)\/(sqrt(3) + 2*sqrt(300)))**2.\nAnswer: -120*sqrt(5) + 885974\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b287 (base 13) to base 16.\nAnswer: -2fd8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0*g - 2*g + 25, 40 = 4*g + 4*v. Let m(z) = -z**3 + 10*z**2 + 13*z. Let a be m(11). Let s = -15 + a. What is the remainder when s is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Let t = u + 0. Let z = -0.07 + 1.07. Which is the biggest value? (a) -0.4 (b) z (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-6))\/(5 - 17). Let x be (-4)\/18 - (-22)\/18. Let r = 2 - x. Which is bigger: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(180\/48)\/(-15)*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 - 4 + 4)*(0*p - p + 3*p) - 1 - 3*p**3 + 1 + (2*p + 3*p - 2*p)*(11*p**2 + 0*p**2 + 7*p**2).\nAnswer: 47*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*l - 35. Let m be (-9)\/l*(-8)\/6. Factor 6*k**3 + 8*k**m - 3*k - 4 + 0*k + k.\nAnswer: 2*(k + 1)**2*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3889063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 7 - 2*a**4 + 155*a**2 - 155*a**2 to h + c*a**3 + p*a**4 + w*a**2 + u*a and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/24 and -11\/156510.\nAnswer: 626040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 10 = 5*k - s, 0 = -k + s - 14. Let m = 5 + k. Let t = -13.04 + 0.04. Which is the closest to t? (a) -0.4 (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 7*d**2 + 174. Calculate f(9).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.216*-0.4.\nAnswer: -0.0864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**2 + 15*z**2 + 17*z**2 - 4*z**2.\nAnswer: 23*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*b + 4 - 0, -b - c = 0. Suppose q = -b*j - 54, 4*j + 5*q - 52 = 7*j. Let w(x) = 5*x**2 - 31*x - 15. Is w(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**(-17\/4))**(1\/24) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 2 = 22 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*k - 6. Suppose 2*q = -g + 21, -k*g - 2*g = -3*q + 37. Suppose -f + 5*f = t + 130, f - 22 = -5*t. What is the remainder when f is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 346, 349, 352, 355, 358?\n\"Answer: 3*n + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8260, -16488, -24716, -32944?\nAnswer: -41172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*d + 21, d = 2*w + 5*d - 28. Factor -6*g**2 - 4 + w*g + 4*g**2 + g**2.\nAnswer: -(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/((d**(1\/3)*d)\/d))\/d))**(-1))**(-1\/15) assuming d is positive.\nAnswer: d**(4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -241 + 241.5. Let k be (-30)\/20*4\/39. Sort k, 5, h in descending order.\nAnswer: 5, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 489 = 3*r - 3*o, -5*r + 440 = 3*o - 407. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34186 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*6\/(-48))\/((-9)\/18).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**5\/20 - 7*d**4\/12 - d**3 + 5*d**2\/2 - 2*d - 77. What is u(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - (-220)\/70)*112\/(-6). What is the highest common divisor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6862*r + 8. Let g(m) = 13725*m + 20. Let n(k) = -7*b(k) + 3*g(k). Is n(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -10. Suppose -s*n - n = -2148. Let m = n + -409. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186 + 140 = 23*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - -123023130?\nAnswer: 123023220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 81\/5 in -12, 0.2, -4\/2311?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7793213355 to the power of 1\/2, to the nearest integer?\nAnswer: 88279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011 (base 2) in base 14?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-6) - (-4)\/8. Let a = -1 + 5. Put 5, a, g in decreasing order.\nAnswer: 5, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(847)*4 + sqrt(847) + -5).\nAnswer: -165*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 6*z + 7. Let d be k(-5). Let o = 93572\/5 + -18713. Determine s so that -o*s**d + 0 + 1\/5*s**5 - s**4 + 2\/5*s + 9\/5*s**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 + 26 = -4*b, 5*c + 2*b = -20. What is the tens digit of 3 + (c + 66)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c**4*y + 10*c**4 + c**2*y - y + 396 with respect to c.\nAnswer: -20*c**3*y + 40*c**3 + 2*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arra. What is prob of sequence rraa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -10 + (-250)\/(-28)*392\/560.\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.2 and 2.8?\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**3\/6 + g**2 - 9*g. Let d be 3\/(6\/4) + 0. What is the units digit of n(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*d + 2*a - 98, -2*a - 38 = -d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8)**(-3\/10) assuming c is positive.\nAnswer: c**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*x - 10 = 119*x - 4*o, -x + 2*o = 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 419, 1714, 3859, 6848, 10675, 15334, 20819, 27124?\n\"Answer: -f**3 + 431*f**2 + 9*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 - 52 = -3*p. Suppose -4*h = 5*b - 153 - p, -2*b + 252 = 4*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5359 is divided by 2588.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-471)\/(-312) - 19\/152. What is the nearest to 0.1 in 1\/3, -3, d, -1\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 800, 1602, 2416, 3248, 4104, 4990, 5912?\nAnswer: 6876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*z - 2*z - 3*z - 4*z - 3*z - 2*z + (-4 + 3 + 3)*(-3 + 2*z + 3) to the form o + l*z and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 3\/2 (c) -2\/3 (d) 9\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i**2 - 14*i + 9. Let d be j(-4). Let y be (-5*d\/(-45))\/(5\/570). Which is smaller: 12 or y?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16172021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1820124 to the nearest integer?\nAnswer: 1349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 + 53*x - 77. Give r(25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-408)\/(-459)*(-3)\/((-240)\/70)?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*m**4 - 488*m**3 + 1452*m**2 - 504*m.\nAnswer: 4*m*(m - 21)*(m - 3)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*1*4 - -2*sqrt(119)*-1)\/(-1*sqrt(847)*-6).\nAnswer: sqrt(17)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 7*i**3 - 2*i**3 - 5.\nAnswer: 5*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -25.8. Let k = 17.62 - 15.1. Let v = a + k. What is v rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 573 in 5127, -3, -1\/20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 20 = 2*x. Let k(r) = r**2 - 3*r - 4. Let t be k(x). Suppose 0 = 5*h - 10, -j = 4*j + h - 242. Calculate the greatest common divisor of j and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*h + 1187, -5*h - 4*d + 1568 = 76. Suppose -3*r + h = -l, 3*l = 5*r - 484 - 12. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21450.3908 to 0 decimal places.\nAnswer: -21450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 37199, -0.5, 0.2, -2, 15 in increasing order.\nAnswer: -2, -0.5, 0.2, 15, 16, 37199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22461, -14156, -50771, -87384, -123995, -160604, -197211?\nAnswer: -233816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 80884 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v**3 + 0*v**3 - v**3)*(1591*v - 928*v + 2336*v) to o*v**2 + z*v**4 + c*v + p*v**3 + u and give z.\nAnswer: -2999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 5*b - 50, 0 = 3*p + b + 30 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28422814.\nAnswer: 2, 7, 101, 20101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2. Let q(o) = -o + 167. What is q(x(a))?\nAnswer: -a**2 + 167","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 39172412 to the power of 1\/3, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -1. Let q be (19 - (-4 - -2)) + -4. Let s = q + k. What is the remainder when 95 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.5698166ms?\nAnswer: 569816.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-6 - -5)) + -1 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4204)\/150 + 2102\/78825.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31531.\nAnswer: 31531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lqey when four letters picked without replacement from {q: 3, c: 1, l: 1, i: 1, e: 4, y: 4}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4)\/u*u**(-1\/10))\/((u\/(u\/u**(-1\/4)))\/u)**(-3\/5)*(u\/u**10*u*u*u\/(u*u\/u**(-3\/8)))**(-3\/22) assuming u is positive.\nAnswer: u**(-4143\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 597043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -60536, -61810, -63096, -64400, -65728, -67086, -68480?\n\"Answer: -g**3 - 1267*g - 59268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44972 - -218?\nAnswer: 45190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**2\/2 - 8*s + 2. What is i(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 1\/50, 4, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -23*t + 18. Let b be c(-3). Let d be b\/18 - (1 + (-7)\/6). Let h(u) = d*u**2 - 12*u**3 - 8*u + 11*u**3 - 2 + 7*u. Calculate h(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((h + 2*h - 2*h)*(-23 + 9 + 48) + 4*h + 0*h - 2*h)*((h - 2*h + 0*h)*(-2*h + 4*h - 5*h) + 2 - 2 + h**2).\nAnswer: 144*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, k: 1, m: 4, l: 2, o: 1, g: 4}. Give prob of picking 1 o and 1 k.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*o - 7. Let b(h) = 56*h - 4. Let v be b(2). Let i = v + -116. Put -5, o, i in descending order.\nAnswer: o, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3658 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217 and 33976.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128236022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*l + 4 - 186 - 24 + 91 to z + w*l and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**8*s**(-7)*s**(-12\/7)*s\/(s*s**8) assuming s is positive.\nAnswer: s**(-166\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + l + 9 = 0, -39*z + 4*l = -34*z - 53 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l - l**3 + 3*l + ((-2*l - l + 2*l)*(-2 + 2 - l) - 3*l**2 + 1 - 1)*(4*l - 2*l - 3*l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/10)\/(4\/(-230)). Round o to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 6:54 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 483 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (-36)\/3 - -1. Let o be ((-4)\/f)\/((-3)\/(-36)). What are the prime factors of (-4)\/(-6)*279\/o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m + 6. Give a(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + x**2 + 11*x + 4. Let n be q(4). Let t(d) = 195 + 34*d**3 + d**2 - 197 + n*d**2. List the prime factors of t(1).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 3006833609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5218865 is divided by 61394.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21661 <= 21661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3293?\nAnswer: 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -15. Which is the smallest value? (a) -1 (b) 0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 475191*h*q**4 + 718*h*q**2 - 595*h + q**4 - 53*q**3 + q**2 + 1 wrt q?\nAnswer: 11404584*h*q + 24*q - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10718498 and 6510?\nAnswer: 160777470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3 = 0, -3*v = 2*v + b - 112. Let k = v + -19. Suppose -2*h - 2*o = -h - 12, -k*o = -20. Solve 3*y - 15 = -7*j + h*j, 12 = 4*j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 308 + -154. Let c = p + -82. Let y = 108 - c. What is the remainder when 67 is divided by y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w. Let n(i) = 473*i**2 + i. What is s(n(k))?\nAnswer: 946*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 141784, 283457, 425130, 566803, 708476?\n\"Answer: 141673*t + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjujujjujjjju. What is prob of picking 2 j?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -798 in -0.2, 0.5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + -0.777. What is v rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.36, -18, -0.3.\nAnswer: -18, -0.3, 0.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 5*j + 5*j)*(-5*j + j + 0*j) + 0 + 2*j**2 + 0.\nAnswer: -38*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 13. Let g = 7 + r. Let n(s) = s**g + 5 - 5. Let x(p) = -p. What is n(x(q))?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - c - 4. Sort -1, c, -2.\nAnswer: c, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 5) to base 6\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1879*z + 43630 - 8747 + 30975 = -52519 for z.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0.55, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13652 and 348126?\nAnswer: 696252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*c**2 + 6*c**2 - 4*c**2 + (-2*c**2 + 0*c + 0*c)*(1 + 5 + 4) + c**2 + c - c + (3 - 3 - 2*c**2)*(4 + 3 - 4).\nAnswer: -37*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(3*1\/(-2)). Suppose -d - 18 = o*d. Let m be ((-18)\/(-8))\/(d\/4). Is 0.1 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 14*z**2 + 12*z - 14. What is the remainder when 130 is divided by m(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/190)\/(150\/100).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.02177 times -81\nAnswer: 1.76337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2837663425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606*j - 611*j - 35 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -49, -87, -113, -121, -105, -59?\n\"Answer: k**3 - 45*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000111111001001010001 (base 2) to base 5.\nAnswer: -4203202444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43.022 - -0.022. Let v = -42.7032 + -0.0868. Let b = a - v. Round b to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(3*y**2 - 4*y**2 - y**2)*(4*y - 3*y - 4*y)*(-2 + 4 - 868*y**2 + 899*y**2).\nAnswer: 372*y**5 + 24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -5417, -549?\nAnswer: -5417","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffy when three letters picked without replacement from {f: 2, y: 2, a: 2, n: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((0 - -3) + -7)\/(-1). Suppose 0 = -2*k + 4*k - s. Let t = k + 2. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368230 is divided by 245?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 6*q**2 + 3*q + 4. Let s be h(5). Let n(a) = -2*a + 1. What is the tens digit of n(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, y: 1, g: 3}. Give prob of sequence gg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1562519 divided by -7.\nAnswer: -223217","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4*o**3 + 117\/4 + 19\/4*o**2 + 87\/4*o = 0. What is o?\nAnswer: -13, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.3, 4, 0.2, -337, -1 in increasing order.\nAnswer: -337, -8, -1, 0.2, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 - 5) + 8\/4. Let x(p) = 4*p. Let a(b) = -4*b + 1. Let m(z) = -4*a(z) - 3*x(z). Let k be m(3). Calculate the highest common factor of g and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 20*t + 3. What is o(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4227.\nAnswer: 3, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 48*z = -52*z + 40874, -4*v + 6*z = -32736. List the prime factors of v.\nAnswer: 2, 3, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2034222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4104.625 decades?\nAnswer: 410.4625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -59353, -118676, -177995, -237310, -296621?\n\"Answer: 2*k**2 - 59329*k - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 46504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6188 + -6183. Calculate the remainder when (3 - -6)*(2 + 9) is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 4*u + 2. Let o = -91 - -103. Suppose p = 3*r + o, -p = 3*r - 2*r + 4. Let h be v(p). Solve -3*t = c - 2, 4*c + 18 = 8*c + h*t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48748 = 696*v - 28486 + 24338 for v.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g - 16. Let d(t) = t + 5. Let w(c) = -11*d(c) - 4*q(c). What is w(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ju when two letters picked without replacement from {u: 2, j: 6, d: 5}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 7 = 2*r, -4*r + 61 = -i + 4*i. Suppose -3*n + 30 = -2*n. What is the greatest common divisor of i and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166164 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 47823.22042 and 0.092532?\nAnswer: 47823.127888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -176*t - 140. List the prime factors of s(-5).\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 131032442031?\nAnswer: 131032442032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21522 is divided by 978.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grrmmrgqr. Give prob of picking 2 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(3*n**5 - n**2 + n**2).\nAnswer: -3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/4050 and -59\/2970.\nAnswer: 44550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1130 or 1129?\nAnswer: 1130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8313 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 9*b + 4. Let l = -388 + 384. What is p(l)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.18 - 46943195773?\nAnswer: -46943195774.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6148405943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-55)\/(-15))\/((2 - 8)\/(-54))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.3, -0.5, 2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l - 18. Calculate f(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 1. Let u = -16.5 + 15.6. Is k < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/d**(2\/61))\/d*(d**19*d)\/d)\/(d**(-1)\/(d**(2\/29)\/d*d)))**(-13) assuming d is positive.\nAnswer: d**(-483769\/1769)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1504144 and -1.\nAnswer: 1504144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - -7256?\nAnswer: 7244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81722.6 + -4780.\nAnswer: -86502.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from irribriubbiiibrrir.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/(-272)*-17 - (-92)\/(-14)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -38586 + 1?\nAnswer: -38585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 129103352 to the power of 1\/2, to the nearest integer?\nAnswer: 11362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**2 + 3*u. Let k(o) = o - 36 + 36 - o**2. Let b(r) = -3*k(r) + s(r). Let q(x) = x. Calculate b(q(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 100000000010100101001011000?\nAnswer: -100000000010100101001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54455 or 53658?\nAnswer: 53658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6531658787 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.2 + 1.1988. Round u to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3515 + -0.013176?\nAnswer: -3515.013176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -136. Let k(r) = -4*r**3 + 22*r**2 + 14*r - 115. Let o be k(6). Is o at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71256 (base 9) in base 10?\nAnswer: 46869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + j**2 + j + 2. Let y be t(0). Differentiate 10 + y*x + 35 + 11 - 36 wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2. Let q = 84 - 123. Let c = 42 + q. Let j(g) = 0 - 3 + c + 2*g. Calculate z(j(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a hour in seconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttc when three letters picked without replacement from {c: 7, z: 3, n: 1, t: 6}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*p + 7250 + 1860 = 66*p - 22640 for p.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 591248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5\/6)\/f)\/(f**(-24)*f) assuming f is positive.\nAnswer: f**(127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 2. Calculate a(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(((n\/((n\/(n\/n**5))\/n))\/n*n*n)\/n)\/n)\/(n\/(n*(n*n**(-7))\/n)))\/(n**(-6)\/n**(-2))*((n\/(n**(-2)\/n*n))**(-46))**(-2\/5) assuming n is positive.\nAnswer: n**(246\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, 4, -5, -4 in increasing order.\nAnswer: -5, -4, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(4\/(3 - 1)). Suppose 10 = -w*v + 205. What is v rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -4, 74, 1\/2, -3, -516\/13, 9\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 247, 491, 737, 985, 1235, 1487, 1741?\n\"Answer: w**2 + 241*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23991374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 7:50 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**6\/120 + z**5\/5 - 7*z**4\/24 + 5*z**3\/6 + 12*z**2. Does 7 divide u(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/5 of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/3 or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**6\/720 - f**5\/60 + f**4\/3 - f. Let k(c) be the third derivative of j(c). Differentiate k(m) with respect to m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/631*1\/(-43). Let j = m + -9740733\/189931. Let w = j - -51. Which is the nearest to -1? (a) 2 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a**3 + 6*a + 283 with respect to a.\nAnswer: -12*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/(j**(-5)\/j))))**26\/((j\/(j**(-14)*j))\/j*j*j*j**(-2\/3)*j*j*j) assuming j is positive.\nAnswer: j**(494\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbunnkz. Give prob of sequence ubk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p + p - 3*p + (-4 + 3 + 2)*(-p - 5 + 5) - 3*p + 0*p + 2*p - p + p - 2*p + 0 + 0 - 2*p + 0*p - p + 3*p + (-9*p - 1 + 1)*(0 + 2 - 4).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 24794.\nAnswer: 24794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, l: 3, o: 1, x: 1, i: 1}. Give prob of sequence nio.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 2. Let b be o(0). Suppose j - 9 = -2*j. Let i = j + 2. Solve b*y = i*y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-690)\/(-18))\/((-2)\/(-24)). Round b to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 17. Let g be (0 + 1\/(-2))*b. Solve -g*a = 3*l - 3, 3*a + l - 13 = 2*l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21303306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7005.102*-4.\nAnswer: 28020.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -y - 2, 3*y - 8 = -18*t + 22*t. Sort 1, 144, t.\nAnswer: t, 1, 144","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 7*o**4\/6 - o**3\/3 - 5*o**2\/2 + 7*o. Is q(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 215, 6 in increasing order.\nAnswer: -3, 6, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -46. Calculate the remainder when (-23 + 1 + 0)\/(5\/s) is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 384 = -110*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 7*y**4\/12 - y**2\/2 + 18*y. Let g(m) = -2*m**2. Determine g(h(f)).\nAnswer: -98*f**4 + 28*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**2\/3 - 1258*c - 8169856\/3 = 0.\nAnswer: -1538, 5312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102 less than 1094?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -7. Suppose 3*m + 5*t + 65 = 0, m - 3*t + f*t = -20. List the prime factors of (12\/(-15))\/(2\/m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*j - 5*j + 54 = 0, 0 = 5*g - 2*j + 81. Let n = g + 17. Suppose n*y - 12 = -2*r, 4*r = -0*y - 2*y + 18. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1348480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(8\/(-673)) + -1. Let t = z + 359. Find the common denominator of -97\/10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1883023295?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*m - 1420, 5*s = -4*m - 0*m + 1775. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-3 + (sqrt(152) + sqrt(152)*-2)\/sqrt(8))*5)**2 + (-4*sqrt(190)*-1)\/(sqrt(10) - sqrt(250)*3).\nAnswer: 1328*sqrt(19)\/7 + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -7\/2*g**2 + g - 3. Let t(w) be the third derivative of -w**4\/8 + w**2. Calculate 2*s(q) - 5*t(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*h**3 + 45*h**3 + 37*h**3.\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 241430, -2 in increasing order.\nAnswer: -2, 3, 4, 241430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 8*z - 7. Let q be l(-5). Let b(x) = -x**2 + 7*x + 10. Let i be b(q). Factor -2 - 7*m**i - 3*m + 8*m**2 + m**4 - 3*m**3 + 6*m.\nAnswer: (m - 2)*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9924837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75 and 2095221?\nAnswer: 52380525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/26 - (3085\/(-195) + 16).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2. Let k be n(-1). Suppose 99 = -k*i + 291. Calculate the common denominator of 59\/3 and 2\/4*i\/(-33).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-1\/2)\/z)*z**(-6)\/z)\/(z**(2\/11)\/((z*z**(1\/19))\/z)))**50 assuming z is positive.\nAnswer: z**(-58825\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 23*x**2 - 2*x + 39. Give m(23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4.84, -4, -2\/19, 4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13356222179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6564\/56 + -2)*(3 + -1). Let p = -230 + n. Factor 27\/7*l**2 + p*l**4 - 15\/7*l**3 + 6\/7 - 3*l.\nAnswer: 3*(l - 2)*(l - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 927750823 a multiple of 8101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 5:43 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 111589 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354737015?\nAnswer: 5, 1087, 65269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Suppose 2*q + 4 = 4*j, -3*q = 4*j - 26 + 2. Let g = -916 - -922. Suppose j*d - g*d = -72. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33698*s**3 + 48778 wrt s.\nAnswer: -101094*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - u - 16, -5*u - 7 - 5 = -3*r. Suppose -4*k + 8 - r = 0. Which is smaller: k or 4\/23?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(6)\/sqrt(2)) + 3.\nAnswer: sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827647.\nAnswer: 71, 11657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2049430 or 2049433?\nAnswer: 2049430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -29 - (-18 - (1 + -12))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4885781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*l = -122*l + 19182. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 6:06 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -780482488?\nAnswer: -780482503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20291*y - 2 + 0 + 20211*y + 4.\nAnswer: -80*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4772 - -4775. Put -1\/994, h, 0.1 in descending order.\nAnswer: h, 0.1, -1\/994","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 8) in base 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8*(4\/(-8) + (-2)\/(-6)). What is the nearest to -19 in w, -0.4, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 18*z**2 - 6*z - 6. Calculate s(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 3*l**2 + 2. Let r be z(2). Is -2 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25074415945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i. Let q = -61 - -66. Let b(z) = 2*z. Let k(r) = q*b(r) + j(r). Let l(t) = 9*t. Give k(l(g)).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 375*a - 376. Let v be c(1). Let g(x) = 4*x - 5. Let n(h) = -h + 1. Let f(m) = 2*g(m) + 11*n(m). Calculate f(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 12*c**2 + 13. Let p be 20\/75*-10*(-18)\/(-4). Determine k(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 4*m - 2*o - 1202, -2*m - 5*o + 504 = 0. Let r(t) = t**3 + 8*t**2 - 40*t - 28. Calculate the remainder when m is divided by r(-11).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -11*w**5 - 35*w**4\/6 - 3*w**2\/2 - 36*w. What is the third derivative of l(j) wrt j?\nAnswer: -1320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -1)*(-3 - 4). Let m(j) = 22 - j + 2*j + j. Let v be m(q). Solve 0 = 2*l + v, 0*l = -4*u + 4*l + 20 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 w when three letters picked without replacement from {p: 3, w: 4, k: 6, r: 1}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 316293260*x**2 + 316293779*x**2 - 3 - 1.\nAnswer: 519*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 17*l**3 - 13*l**2 - 13*l. Let g(b) = -4*b**3 + 3*b**2 + 3*b. Let o be (-12)\/20 + 189\/15. Suppose -3*z = -o - 6. Calculate z*i(y) + 26*g(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 3. Let c = -13 - t. Let h(k) = -8*k - 1. Let j be h(-2). What is the greatest common factor of c and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 7*u**2 - 20*u - 63. Calculate l(-9).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6 + 3*b + 3*b**2 + 5*b**3 + 3*b**2 - 4*b**3. Let s(x) = -3*x + 5. Let z be s(6). Let u = z + 8. Give h(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -13*y**2 - 8*y. Let a(q) = -8*q + 5*q + 4*q. Let t(l) = 5*a(l) - u(l). Find the second derivative of t(n) wrt n.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 320 + -318. Solve 11 = i*g - 3*r, -7*g + 5*r = -3*g - 17 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 7 - 47. Let y(k) = k**3 + 23*k**2 - 70*k + 215. Calculate the lowest common multiple of s and y(-26).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 187 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -26440 rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/3, -1, -3\/668, 0.3, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -267.9 + 282. Let u = 17 - k. Round u to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3596 to 2 decimal places.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1445 and 53380.\nAnswer: 907460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*d - 2*d. Determine v so that 3\/4*v**3 + 3*v + 3*v**2 + d = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 81661*h**2 + 82183*h**2 - 168528*h**2 in the form d*h**2 + m*h + b and give d.\nAnswer: -4684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 456*r - 5 - 23*r**3 + 456*r.\nAnswer: -23*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10885 - -17617521.\nAnswer: 17606636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 8*i**2 + 5*i - 9. Let c be r(-7). Suppose -35 = -c*t - 5*f + 5, f = -1. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -131*y - 10. Let o(b) = 470*b + 41. Determine -9*f(q) - 2*o(q).\nAnswer: 239*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/13 (b) 3 (c) -2 (d) 0.226 (e) -19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*m - 6214 = -1148 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x - 1. Let w be v(-8). What is the highest common factor of w and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3317830?\nAnswer: 2, 5, 71, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -4, -3\/4, -1\/14, 2\/5, -3?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23410356*r**4 - 2*r**2 - 4*r - 1323843 wrt r?\nAnswer: 561848544*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 15 - 9 = 0. Suppose -2*b - d + 11 = 0. Suppose -12*j = 11*j + 16*j - 195. Solve -j*f + 6 + b = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 times -0.927?\nAnswer: 1.7613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -b6a2?\nAnswer: b6a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-3) - -2) + 65\/3 + -21\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -172 - -249. Let o = 80 - i. Find the third derivative of 13*y**3 + 11*y**2 + 6*y**2 + 2*y**o wrt y.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**0*c*c)\/c)\/(c\/c**(9\/4)))\/(c**0)**(1\/10) assuming c is positive.\nAnswer: c**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59444436.00503 - 59445239. Let c = 803 + b. Round c to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329204400.\nAnswer: 2, 3, 5, 7, 39191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.04 and -10.6199568009.\nAnswer: -10.5799568009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**2 - 63*a + 1620 = 0.\nAnswer: -36, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*z**4 - 4*h*z**3 + 3*h*z - 30*h + 4*z**2 wrt z?\nAnswer: -24*h*z**2 - 24*h*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-20))\/(5 - 369\/72). Which is the nearest to 0.1? (a) -10 (b) -1 (c) -4 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -311\/7 (b) -2\/29 (c) 5 (d) -0.5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 - 4033*k + 48117. Determine j(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 91*k - 24. Let n be l(5). Let q = -392 + n. What is the greatest common divisor of 6 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r - 4*i = 4, 3315*i = -5*r + 3319*i - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-3))\/((-6)\/(-4)). Suppose 3*p - 499 = c - 2*c, -318 = -b*p + 3*c. Suppose v - 2*z - 48 = 0, 2*z + 99 + p = 5*v. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-190)\/(-798)*119\/(-2550).\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010001010111101110110 (base 2) in base 13?\nAnswer: caa25b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-604)\/(-36) - (-2)\/9. Suppose 4*h + t = h + o, -4 = h - 2*o. Let d be ((-1)\/3)\/(h\/54). Solve 0 = -c - d*k - 1 - 9, 0 = -4*c - 2*k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m + 9. Let b be -11 - (-14 + (-20)\/(-2)). Give u(b).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 4*x + 24, 4*x = 2*x. Is a\/18 - ((-10160)\/6 + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-108))\/(((-30)\/18)\/5). Put 1\/9, 9, t in ascending order.\nAnswer: 1\/9, t, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 521583 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37465*w + 5678 with respect to w.\nAnswer: 37465","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2422*q + 2421*q + 22 = 0, -4*v - 2*q = -32. Let r be 4\/3*(-6)\/(-4). Solve -v*g - r*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -9 - (1 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2\/5 (b) -2 (c) 0.9 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 1. Let n = 122 + -127. Let g(r) = 1126*r + 3. Let q(j) = n*g(j) + 15*i(j). Is q(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3466092801.\nAnswer: 3, 23, 50233229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1.2. Let g = 0 - i. Let k = -7 + 2. What is the nearest to g in -4, -0.3, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-33)\/234 - 284\/(-923). Let r be 3 + 0 - (12 - 9). Put 5, r, -3, z in ascending order.\nAnswer: -3, r, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 2*s + s)*(3*s**2 - 2*s**3 - 3*s**2) - s**4 + 3*s**4 - s**4 - 7*s + s**4 + 7*s + 2*s**3 - 2*s**3 + s**4 + (4 + s - 4)*(-2 + 2 + 3*s**3).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/3)\/((-1)\/13). Let v = m + -3. Is v <= 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**2 + 5 - 5)*((-2 + 3 - 3)*(0 + 0 - 1) + (-2 + 3 + 5)*(5 + 0 - 1)).\nAnswer: -156*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5774181 not equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6b + -1f7ce2?\nAnswer: -1f7c77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26096105 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -0.03435.\nAnswer: -0.2061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 35, 0.02, -2\/5 in decreasing order.\nAnswer: 35, 4, 2, 0.02, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 976 is divided by 134.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - -7. Let c be 298\/u + 14\/(-49). Let j = c - 11. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 23, 34, 109, 284, 595, 1078, 1769, 2704?\n\"Answer: 6*y**3 - 4*y**2 - 19*y + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**5 + 20*z**4 - 37*z**3 + 18*z**2 = 0.\nAnswer: 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c - 8*c**2 + 15*c**3 + 20*c**3 - 31*c**3.\nAnswer: 4*c*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + 5*t - 5. Let n be u(1). What is the tens digit of -4 + 2 + n*(45 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**2*x**3 - f**2*x**2 + 34668331*f**2 + f*x**3 + 2347*f - 4*x**3 + 39*x**2 - 2 wrt f?\nAnswer: -2*x**3 - 2*x**2 + 69336662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*((-5 + 4 + 2)*(-4*p + 2*p + p) - 6*p + 2*p + 0*p - p + 0 + 0).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by -80?\nAnswer: -39\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*d - 1. Let n(z) = -5*z + 2 - d + 4*z. Let q(c) = 2*c. Calculate q(n(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 take away 523?\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8034, -32136, -72306, -128544, -200850?\n\"Answer: -8034*j**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 32*r**2 - 32*r - 27. Let v be f(-31). Suppose -v*q + 34 = 5*g, -3*g = -2*g + 2. Solve -q*h + 28 = -27 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -123*x - 505 - 1533 - 59 - 978 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, m: 14}. What is prob of sequence mmms?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826313552.\nAnswer: 2, 51644597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -3 + -62 + 43\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -0.105.\nAnswer: -0.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 17*v**2 - v + 40. What is the tens digit of y(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7736638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 30*h - 16. Let m be l(-9). Let a = m + -281. Let r = a - -974. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, d: 3}. What is prob of sequence dy?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -833*u + 221*u + 171*u + 221*u + 217*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19776, 20018, 20260, 20502, 20744?\n\"Answer: 242*j + 19534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66075 and 99885.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3148576.06 rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64952.02l to millilitres.\nAnswer: 64952020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4621 - -234.7621. Let l = q - 248. What is l rounded to 0 decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 4*o - 5*o)*(-12*o + 4*o + 49*o) + (-4 + 3*o + 6 - 4)*(-6 + 7*o + 6).\nAnswer: -20*o**2 - 14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + r**2 - 2*r**2)*(-3*r - r + 6*r) - 5*r + 2*r**3 + 5*r + (0*r + 6*r - 4*r)*(6 - 6 + 4*r)*(r + 1 - 1).\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411 - 411 + 10*g + 162*g.\nAnswer: 172*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - w - 3*w + 14, 5*w - 8 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-63) - 42\/(-135)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.65 (b) -0.5 (c) 563\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 819.927 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -283, -156, -3 in descending order.\nAnswer: -3, -156, -283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/13 + 76062*r**2\/13 + 55608630*r - 389547158.\nAnswer: 2*(r - 7)*(r + 19019)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -2.3. Let m = 62 + -196. Let y = m - -134.1. What is the nearest to y in 2\/7, 3\/4, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 8 = g - 9, 55 = -5*f - 5*g. Let r(w) = -6*w + 17. Let z(m) = 2*m - 6. Determine f*z(d) - 2*r(d).\nAnswer: -2*d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5930435906?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(-2))\/((-11)\/110). Let m be (0 - -14)*t\/5. Let q = -43 + m. Does 27 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62720697 divided by 15923?\nAnswer: 3939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + z + 23, -16*x + z - 12 = -17*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32917215 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f + 790 = 0. Suppose x + b - f = 0, -4*b + b = 4*x - 634. Calculate the highest common divisor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 y when two letters picked without replacement from reeefesssssyyefe?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9727.\nAnswer: 71, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**6\/10 + 4*a**5\/25 - a**4\/20 - 2*a**3\/15 + 105. Let s(r) = 0. Calculate r.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 + 4.04. Let j = 732.9 + -735.9. What is the nearest to m in 5, j, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5477 + 5482. Factor 2*g**o + 4\/7*g**3 + 0*g**2 - 18\/7*g**4 + 0*g + 0.\nAnswer: 2*g**3*(g - 1)*(7*g - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -11*t - 10. Let o be u(-4). Let i = -31 + o. Solve 6 = -g + 5*p + 15, 2*g - i*p - 4 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5*(-4)\/40)\/((-9)\/(-6)). Which is the nearest to 1? (a) g (b) 0.03 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 42, 86, 130?\n\"Answer: 44*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 12*q = 128. Let d be -1*q\/4 - (2 + -2). Solve s = -d*a - 2 + 14, -12 = 2*s - 4*a for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-4))\/(2\/(-4)). Is (-375)\/10*2\/t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 1583.8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/54268 + -31509357\/27134. Let n = y - -1182. Let u = 795\/2 + -419. Find the common denominator of n and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1560 and 136000?\nAnswer: 5304000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o**2 - 5*o**2 - o**2 + (2*o - 2 + 2)*(-2*o + 0*o + o) + 0*o**2 + 2*o**2 - 3*o**2 + 2114*o + 1755*o**2 - 2114*o to s + i*o**2 + j*o and give i.\nAnswer: 1751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88.66 + -85.78869. What is t rounded to 2 decimal places?\nAnswer: 2.87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102 + 42. Calculate the highest common divisor of s and 936.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4016977, 4016964, 4016951, 4016938, 4016925?\n\"Answer: -13*u + 4016990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhzwuuhu. Give prob of picking 2 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 9, -64, 6, 0, -2 in ascending order.\nAnswer: -64, -2, 0, 4, 5, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2357517 (base 8) to base 14.\nAnswer: -12bad9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -26096*z + 130508. Give x(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**8\/2240 - k**7\/1120 - k**6\/240 + 3*k**3 + 4. Let q(m) be the third derivative of t(m). Determine x, given that q(x) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 9*p + 2. Let s be t(2). Let m be (s\/(-15))\/(4\/(-6)). Let y be (20\/m + -1)\/1. Solve -3*w + 0*w = y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 27*n**2 - 6*n - 7. Let g(k) = -25*k**2 + 5*k + 6. Let u(i) = 6*g(i) + 5*j(i). Give u(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 27 + 118*q**2 + 26)*(4*q - 4*q - q) in the form o*q**3 + h*q**2 + v + d*q and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 282556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w - 8. Give z(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-23) + 2\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 t, and 2 c when four letters picked without replacement from {f: 9, t: 2, c: 4, h: 4}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/9307015 or 1?\nAnswer: 3\/9307015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 898779827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 0)\/(10\/5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 52 (b) -3\/4 (c) 0.03 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7113*a - 14304*a - 1500 = -7066*a for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.955019869 - 4?\nAnswer: 15.955019869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6322 + -6133. What is the remainder when b is divided by 1\/1*-1 + 35 + 4?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**3 - 271*o - 10. Let a(r) = -5*r**3 + 271*r + 12. What is 5*a(n) + 6*d(n)?\nAnswer: -n**3 - 271*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2616\/30 - (-1)\/(-5). Suppose 5*x + n = -2*n + 118, -5*n - z = -4*x. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 11*n = 300. Let d = n - -881. Let b = -638 + d. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v. Let l(p) = 8*p**2 - 53*p. What is b(l(h))?\nAnswer: 16*h**2 - 106*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/(-228))\/(19\/(-18) + 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -4, 5, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1626, -1725, -1838, -1971, -2130, -2321?\n\"Answer: -f**3 - f**2 - 89*f - 1535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 6 + 8 + (5 - 1 - 2)*(2 + 3 - 4))*(0 + 0 + g)*(-330 - 599 - 11 - 745) as n*g + f and give n.\nAnswer: -28645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.04 - -0.04. Let d = h + 5. Let f = 439 - 438. Which is the nearest to f? (a) d (b) 5 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8629 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 2719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5. Let r(q) be the third derivative of -q**4\/24 - 5*q**3\/3 - 5*q**2. Let a(j) = 5*m(j) + 2*r(j). Differentiate a(h) with respect to h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 69396?\nAnswer: 69396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = -5*g + 8, -3*g = 5*h + 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -671\/4 - -343\/2. Let g be (-3 + -1)*(-1)\/(-1). What is the common denominator of a and 2\/(-8) + (-102)\/g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 + 0*g + 0*g)*(-20*g**2 + 31 - 31) + (-3*g**4 + 2*g**4 - g**4)*(0*g + g + g).\nAnswer: 76*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 9*x**2 - 22*x - 12. Let b(g) = 10*g**2 - 21*g - 11. Let j(i) = -4*b(i) + 5*z(i). What is the hundreds digit of j(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5522*m - 215421. What is r(39)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*5\/35)\/((-4)\/(-64)*4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 0.3. Let p = 0.7 + u. Let x = -27 + 31. Which is the biggest value? (a) x (b) 1\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(3) + 2*sqrt(3) + 1))**2.\nAnswer: 150*sqrt(3) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -433500*n**3 + 36*n**2 - 356 wrt n.\nAnswer: -2601000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 45, 63, 23, -105, -351, -745, -1317, -2097?\n\"Answer: -5*d**3 + d**2 + 50*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 108*s - 4128. Let m be l(56). Calculate the highest common factor of m and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 + 2 + -24)*4\/(-6) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**2 + 18*u + 45. Let y(f) = -5*f**2 + 27*f + 68. Let a(i) = -8*s(i) + 5*y(i). Factor a(x).\nAnswer: -(x + 4)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v - 244*v - 18 = 249. Let t be 10\/4 + (-2)\/4. Let a = t + -5. Sort -4, a, v, -5.\nAnswer: -5, -4, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (68\/(-6))\/(8\/(-6)*(-9)\/(-72))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1990216*g**4 + 46*g**3*z**3 - 62*z**3 - 2957*z**2 + 16*z + 3 wrt g?\nAnswer: 7960864*g**3 + 138*g**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 4 + -4 + 0 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 11:47 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -35. Suppose -b = 3 - q. Calculate the highest common divisor of 21 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a decade?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -47, -106, -143, -158, -151?\n\"Answer: 11*x**2 - 92*x + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9042 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 186, 5, -13 in ascending order.\nAnswer: -13, -3, 5, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*i**3 - 86*i**3 - 2 + 3*i + 45*i**3 + 2*i**2 as l*i**3 + c*i + m + q*i**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 - l**2 + 4*l**2 + (l - 5*l + 5*l)*(-8 + 8 + l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 13 = -13. Let i(x) = 2*x - 1. Let s be i(2). Is w - (-180 + (s - 4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 22*d**2 + 23*d + 13. Let q be t(23). What is the highest common divisor of 91 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/19707 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*s**3 + 143*s**2\/2 + 127*s + 24.\nAnswer: (s + 2)*(s + 8)*(14*s + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.6 + 10.6. Let g = 3 + -5. What is the nearest to w in g, 1\/2, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3*3\/(-27))\/((-2)\/12). Let u(x) = -5*x**2 - 7*x**2 + 14*x**2 + 0*x**o. Let f(c) = 23*c**2. Calculate f(u(i)).\nAnswer: 92*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29842 or -480\/11?\nAnswer: -480\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, e: 2, p: 1, m: 7, q: 1}. What is prob of sequence mq?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y - 8. Suppose 5*x + d - 3 + 0 = 0, -9 = 4*x - 3*d. Calculate b(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5038360, -10076700, -15115016, -20153296, -25191528, -30229700?\nAnswer: -35267800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 76079.86 days?\nAnswer: 6573299904000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 358.8 - 359. What is the third smallest value in -5, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y + 8*y + 0*y - 1077*y**2 - 211*y**2.\nAnswer: -1288*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 6*j + 2. Let x be i(-6). Suppose 2*f - 3 = 1. Suppose -4*c + f*g - 4 = -2*g, x*g = -c - 4. Let s(d) = -d**3 - 4*d**2 - 2*d - 3. Give s(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -161874549*m**3 - 22401798*m**2 - 2 wrt m.\nAnswer: -971247294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*y = 7*y + 20, 2*y - 30 = 2*b. Suppose 2*j = 3*o + 3*j - 19, 2*o - 30 = -5*j. Sort -1, b, -3, o in decreasing order.\nAnswer: o, -1, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h - 58. Let s(x) = x. Calculate y(s(l)).\nAnswer: 2*l - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23\/7 + 53\/14. Let j = -6 - -11. What is the third smallest value in j, -3, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.6 and -971.146.\nAnswer: -968.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y + 21*y**3 + 25*y - 9*y.\nAnswer: 21*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 4*r + 1. Let p be l(-4). Suppose -w + 2 + p = 0. Let o = 2 + w. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725199793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m + 44 = u + 12*m, 5*m = 0. What is the remainder when u is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -1\/2, -0.4, -2 in increasing order.\nAnswer: -2, -1\/2, -0.4, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 10*x**3 - x**2 - x + 1. Let v be q(1). Let l be (-6)\/(-5)*20\/6. Let o be ((-81)\/1)\/(-5 + l). Calculate the greatest common divisor of v and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (111 - 23) + 15\/(-1). Solve -g - 68*b = -u*b - 29, 5*b + 9 = -4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 - 7*f - 8. What are the prime factors of l(7)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*c**2*k*u - 15*c**2*k + 4*c**2*u**2 - 2*c*k*u**2 + 77*u**2 wrt k.\nAnswer: 4*c**2*u - 15*c**2 - 2*c*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (2 - 91539\/24). Let v = b - -3801. Calculate the common denominator of -31\/14 and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/30 + 1\/(-15). Is q equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 114 + 111. Let c be (-2 - 1\/(-1))\/(25\/t). Suppose c*v + 9*v = 156. Calculate the greatest common divisor of 13 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-two fifths of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-21))\/((-57)\/513)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbkudbckbubi. Give prob of picking 1 u and 1 i.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 862*o - 4*o**3 + 6*o**2 - 4*o**3 - 8*o**2 + 2 + 0 - 861*o to x*o + b*o**3 + v + c*o**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 101001111101 (base 2) to base 9\nAnswer: 3613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 2*o + 24. Suppose 3*y = -2*n + 16, y - 3*y = -n - o. Let b be (0\/(3\/(-1)))\/(-2). Solve l = b, -3*s + s = 5*l - n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -27*l - 15. Determine u(-3).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-237*u**2 - 34*u**2 - 203*u**2)*(u**2 + 0*u**2 - 3*u**2).\nAnswer: 948*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 - 220*q**2 + 698*q - 5894. Calculate b(107).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-3)\/225*6\/(-1)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 3:45 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1945)\/778*212\/(-20)*2?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - (-6)\/(-2))*(-3)\/(-45). Which is the fourth smallest value? (a) 0.1 (b) -3 (c) m (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(65) + sqrt(65)))\/sqrt(5).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*i**2 - 3\/2 + 5\/4*i.\nAnswer: (i - 1)*(i + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.012 from -20.39.\nAnswer: -20.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 11 + 21. Let m = 13 + y. Sort 1, -3, m in increasing order.\nAnswer: -3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7352604.\nAnswer: 2, 3, 7, 163, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 30*f**2 + 33*f**3 - f**3 - 32*f - 30*f**3 = 0.\nAnswer: -16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -237056304*g. Let o(p) = p**2. Give w(o(m)).\nAnswer: -237056304*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -159, -734, -1691, -3030, -4751?\n\"Answer: -191*l**2 - 2*l + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1693*j + 1697*j + 36 = -2*a, -88*j = a + 190 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6*i - 16 = -4*i, 5*j = i + 36. What is the greatest common factor of j and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000012939369 to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*x, -4*u + 23*x = 22*x - 86. Solve 12 = -2*p - 3*q - 10, p + 4*q = -u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 940308?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.51037ms to nanoseconds.\nAnswer: 17510370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 3*f**2 - 4*f - 1. Let u be h(4). Let k be 79\/(-549) + (-1)\/(-9). Is k less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430.3674406 rounded to 2 decimal places?\nAnswer: 1430.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 87380806 or 0?\nAnswer: 87380806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*a - 19. Suppose 71 = -4*m + a*m. Calculate the remainder when m is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/16 at most 369295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 0*p + p)*(-3 - 3 + 0) - 48 + 37 + p - 72.\nAnswer: 13*p - 83","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 d when two letters picked without replacement from qcdnhknhnchqchhhqh?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33236, 66903, 100568, 134231, 167892, 201551?\nAnswer: 235208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.204 + -1.274. Which is the nearest to -14? (a) -2 (b) s (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**2. Let j(c) = -2*c**2 - 39. Give o(j(t)).\nAnswer: -12*t**4 - 468*t**2 - 4563","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 455370 divided by 91074\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -106127991 not equal to -318383971\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 8:53 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1514646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 1) + (90\/5 - 15)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 7*k - 45. Let g = -746 - -1537\/2. Let h = 21 - g. What is the nearest to -1 in 1\/2, k, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5487 divided by -11.\nAnswer: 5487\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 6*q + 21 = 0. Suppose q = -5*p + 2*j + 6, 2*j = 0. Let w = -6 + 8. Sort 4, p, w in decreasing order.\nAnswer: 4, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**2 - 4*n**2 - n**2 + (0 + 0 - n**2)*(0 - 4 + 2).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1292)\/238)\/((-4)\/14).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*a + 6*a**4 - 6*a**4 + 5*a**3 + 19*a - 4*a**4 + 4 to f*a**4 + c + m*a**3 + t*a**2 + p*a and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13233 + -12659. What is the greatest common factor of 21 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*((-4)\/(-3) + -2). Let y = 5 + k. Differentiate 0 - 5*v**3 + 3*v**y - 2 wrt v.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 31*y**2 - 30*y + 50. Let x be o(-32). What is the lowest common multiple of (-1 - (x - -7)) + 115 and 22?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*k + 1665*k**2 - 106*k + 43*k.\nAnswer: 1665*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 8:07 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - -1) + (-56)\/8. Sort 10, u, 2, -4 in decreasing order.\nAnswer: 10, 2, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*y + 18*y - 13*y)*(-2 + 7*y + 10*y - 10*y).\nAnswer: 182*y**2 - 52*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.047 + 20.047. Let p = r - 19.7. What is the second smallest value in -0.4, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9612.894l?\nAnswer: 9612894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h + 0 + 7*h**2 - 4*h + h - 1. Let x(m) = m**2 - m. What is -r(q) + 5*x(q)?\nAnswer: -2*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - u - 3*u)*(-370*u**3 - 273277*u**2 + 273277*u**2) + (-u**4 - 4*u**4 + 4*u**4)*(1 + 0 - 2).\nAnswer: 371*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -231*i + 236. What is x(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r**2. Let k be t(1). What is the greatest common divisor of 6 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.15213 (b) 18.4 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -13*y + 17*y + 9 + 4*y. Let m be j(3). What is the units digit of (m\/(-9))\/((-1)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120770703 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -62 - 5?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -468 - 676 + 1146 - 32*a.\nAnswer: -32*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/22750 and -83\/1055600?\nAnswer: 5278000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 3638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690375?\nAnswer: 3, 5, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -1\/6*u**3 + 0*u + 0 - 6*u**2 - 1\/6*u**4. Let a(l) = 11*l + 3. Calculate 6*a(r) + 17*f(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/49 and 69\/5231828.\nAnswer: 5231828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 4. Determine s(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2732811019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*1*4\/(-48)*-12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -458395\/87952069 - -21\/28037. Is -1 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125322 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, 19, -5, -4, 64, 0 in decreasing order.\nAnswer: 64, 19, 0, -3, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -6 (b) 1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 17. Find the common denominator of ((-6)\/4)\/(49\/273) + w and -1\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 23*t**2 + t + 18. Let x(m) = -m**2 + m - 1. Let q(p) = g(p) + 5*x(p). Let k(u) be the first derivative of q(u). Differentiate k(r) wrt r.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -149809, -149770, -149731?\n\"Answer: 39*g - 149848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/(-48)*(-310)\/(-217)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6637 is divided by 316.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 892.344303 to zero dps.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25555540\/63 - 405656. Let j = l + 110\/9. Let z = 0 - 0.1. Does z = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/10)\/((i*i\/((i*i**13)\/i))\/i) assuming i is positive.\nAnswer: i**(123\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 85963199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -285018.25 rounded to the nearest 100?\nAnswer: -285000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, j: 3, x: 10, u: 1}. What is prob of sequence jd?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + sqrt(539) + sqrt(11)).\nAnswer: -10 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 0. Suppose -3*w - 18 = 5*g, 2*g = -4*w - w - 11. List the prime factors of (-225)\/(-5) + u\/w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -8*z**7\/7 - 7*z**3\/3 - 12. Find the third derivative of p(q) wrt q.\nAnswer: -960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/5871126 and -145\/11742252?\nAnswer: 11742252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (13 + (-9)\/3)\/(8 - 6). Let o = -5 - -3. Sort o, -3, w in decreasing order.\nAnswer: w, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 11:49 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**5\/9 + 4*f**4 + 52*f**3\/9 - 4*f**2 - 56*f\/9 = 0.\nAnswer: -7, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 671618 > 671614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1767?\nAnswer: 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.32 (c) -11 (d) -5 (e) -4\/89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - z. Let c = 999 - 979. Solve -3*p - p - c = z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 8*r**2 + 8*r - 3. What is the lowest common multiple of 32 and y(-9)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -297*x + 295*x + 9566. List the prime factors of x.\nAnswer: 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -731 - 733 + 2198 - 734 + 14684*l.\nAnswer: 14684*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 51 - 39 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1160 is divided by 46?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 8:01 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -739328*y**5 - 27075666368*y**4 + 54420012791*y**3\/2 - 133765503*y**2 + 329607*y\/2 = 0?\nAnswer: -36623, 0, 3\/1216, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -105 times -2\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -18792 at least as big as 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 0.4, 3\/4, 824, -0.7 in descending order.\nAnswer: 824, 3\/4, 0.4, 1\/6, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1331 is divided by 56?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*g + 6*g + 4*g + 3*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*h - 4 = 0, -5*k + h - 47 = -h. Let o = k - -20. Calculate the remainder when 41 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 16) to base 13.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 483 - -434. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 925149989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from {e: 1, a: 2, n: 5, o: 6, j: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from gmmpeeuemeppe?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2000 - 1\nAnswer: 1999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -20*r**3 + 25*r - 2394. Let z(c) = 9*c**3 - 10*c + 1197. Calculate 2*k(m) + 5*z(m).\nAnswer: 5*m**3 + 1197","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 185 times -6643246\nAnswer: -1229000510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 9*g - 13. Determine k(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*h - 1071 = 482*h + 5474 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and 57.\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4) + (-7)\/10. Let w = -0.1113 - -0.1113. What is the closest to -3\/10 in w, -1\/2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36224.84 nanoseconds in milliseconds?\nAnswer: 0.03622484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -44*f**2 - 2811*f + 143. Give w(-64).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -582 + 577. Sort b, 11, -0.8, -2 in increasing order.\nAnswer: b, -2, -0.8, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**4\/3 - 201928*h**3\/3 - 201931*h**2\/3 - 50483*h\/3 = 0.\nAnswer: -1\/2, 0, 50483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 43. Let y(l) = -l**2 - l. Let o be y(-1). Let b be s(o). Suppose -b = -4*m + 65. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 74, 109, 160, 233?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.1 + -9. Let a = 3 - -2. Sort 0.4, j, a in decreasing order.\nAnswer: a, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3) - ((-49)\/((-1029)\/224) + 0)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -32. Suppose -4*r + w = 3*q, 3*q = 5*q - r - 4. What is the units digit of q*-2*(-3)\/4 + 118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19909 is divided by 6272?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -400 divided by 80\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 77, 28 in decreasing order.\nAnswer: 77, 28, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-5) + 156\/15.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7788 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201331100032 + -1?\nAnswer: 201331100031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from vvyyvvvvyvxyy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*a - 117*a = -8. Suppose a*u - 4 = 16. Solve -3*m + u = 2*d - m, -2*m + 16 = 4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.062 + -0.038. Let s = 0.3 + 0.7. Let d = -1.5 - -2. Which is the nearest to i? (a) s (b) 3\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 1996585 = -15996585. What is n rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.13 - -1. Let z = -0.058 - j. Let u = -0.07153 + z. What is u rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.30202 and -1.\nAnswer: 2.30202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22316 - 16714. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 5*b**2 - 2*b + 12. Let l be k(5). Let m(f) be the first derivative of f**2 - 2*f + l - 1\/2*f**4 + 2\/3*f**3. Find p, given that m(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.588 times 0.9114\nAnswer: -0.5359032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-6)*(-44)\/(-33). Let n(g) be the first derivative of 5\/6*g**4 + 0*g - 8\/15*g**5 - 3 - b*g**3 + 0*g**2. Factor n(p).\nAnswer: -2*p**2*(p - 1)*(4*p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200, 318, 582, 1022, 1668?\nAnswer: 2550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-82*3\/18)\/(1\/(-3)). Let w = -7 + d. Suppose p + p = w. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaeaesaseae. Give prob of sequence ees.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9374 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6791, -6790, -6791, -6794, -6799?\n\"Answer: -b**2 + 4*b - 6794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - 197*u + 4527. What is y(30)?\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7367.52 less than 1.023?\nAnswer: -7366.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.44 - -13.44. Let r = -5 + 0. Sort -3, r, n in descending order.\nAnswer: -3, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171160581.\nAnswer: 3, 29, 443, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -4*v - 46, -20 = -5*o + 3*o - 3*v - 58 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**2\/2 - 6*q + 1296. Let n(h) = 8*h. Calculate n(w(a)).\nAnswer: 8*a - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -25. Suppose k*g - 2 = 4*b - 1, 3*b + 2 = 5*g. Which is smaller: 2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -3, -119912?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**4\/12 - w**3\/6 - w**2\/2 - 9*w. Let t(r) = -6*r**2 - 5*r - 5. Give 5*m(c) - t(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 161710321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*m**5 + 21155*m**4 - 21155*m**4 + (-1 + 0 + 2)*(0*m**5 + 3*m**5 - m**5).\nAnswer: -35*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(2 + -1) - 2. Let x = -2501\/6776 + -5\/847. Sort n, 0, 1\/23, x.\nAnswer: n, x, 0, 1\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/8)\/(((-6435)\/(-120))\/13)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2817421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*a = -51303 - 14690, -2*a + 52794 = 4*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m. Let l(a) = -a. Let f(n) = -6*l(n) - 5*v(n). Let y(h) = -h + 19. Let u be y(20). Calculate f(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, d: 2, e: 2, x: 1, a: 4, t: 2}. Give prob of sequence edxe.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15800\/60)\/79)\/(2\/(-18)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -29552 - -0.933\nAnswer: -29551.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4544265042 + 1?\nAnswer: 4544265043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240 (base 9) to base 5.\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -52, -267, -668, -1303, -2220?\n\"Answer: -8*j**3 - 45*j**2 - 24*j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16669 + -5938. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 17*u + 56*u - 51 + 28 - u.\nAnswer: 72*u + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13607)\/5 - (-6)\/15. Let v = c + 52982. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1010*q + 2751*q + 4 - 4.\nAnswer: 3761*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 5*j**2 + 6*j + 7. Let i be b(6). Let x = i - 2. Suppose 3*a - 36 = m, 0 = 5*a + 2*m - m - 68. What is the remainder when a is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = 3*p + 199. Let d = 33 + -22. Let n = p - d. Calculate the remainder when 11 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3579 from -4790037973.\nAnswer: -4790034394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 768379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22850419?\nAnswer: 22850419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2724\/(-9)*(-297)\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 171129 and 3019422?\nAnswer: 848457582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 452 - 4971\/11. What is the closest to -1 in -1.5, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2536 (base 12) to base 6\nAnswer: -31310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 (base 6) in base 8?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 7*v + 3. Let l be y(7). Solve i + 0 = -l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 26. Let c(v) = 9*v**3 - 8*v + 23. Is c(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 6*u + 13. Let c be i(-2). Let t(d) = d**2 - 5*d - 1. Let h be t(6). Is c less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 4:03 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - (4 - 1))\/1. Suppose j = -x + 5, 7 = 2*x - 4*j - r. Find the second derivative of 5*z**x - 11*z - 2*z**5 - z**5 - 3*z**5 wrt z.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-21)*(-35)\/10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**6\/720 + a**5\/40 + a**4\/12 + 3*a**2. Let z(k) be the second derivative of t(k). Differentiate z(y) wrt y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 0*w - 10*w**5 + 0*w**3 - 1\/2*w**4 + 91 - 9*w**2. What is the second derivative of x(c) wrt c?\nAnswer: -600*c**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 49*p + 1115. What is the hundreds digit of m(50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 476 + -474. Suppose 7*t = 3*t. Let i(j) = -j + 6. Let m be i(t). Put m, -5, d in descending order.\nAnswer: m, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11917*k - 624 = 11869*k for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/8 (b) -2 (c) -0.09 (d) 1\/32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5\/9 + 29052*z**4 + 1568968*z**3\/3 + 21966532*z**2\/9 - 8541778*z\/3 - 29898624 = 0. What is z?\nAnswer: -7, 3, 130752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4153377376 divided by -4.\nAnswer: 1038344344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = -5*x + 1640. Let a = x - -296. Calculate the remainder when a is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33135 divided by -783\nAnswer: -11045\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - -1100001011101?\nAnswer: 1100001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*q = 2*w - 272*q + 58, -3*w + 21 = 3*q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 173*f**3 - 854*f**2 + 145311*f wrt f?\nAnswer: 1038*f - 1708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 5*i - 4 - 19, -d = 3*i - 15. Let h = d - 6. What is the units digit of (1 - -2) + (h - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 2763175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, c: 1, r: 2, x: 1}. Give prob of sequence rr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*t + 56 - 16, -5*t - 28 = -c. Let w be (4\/t)\/((-16)\/432). Suppose -3*d + w = -0*d. Solve -3*i = -d, -2*x - 3*x - 2 = 4*i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) -79 (c) 0.3 (d) -1\/280 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4\/9, -2\/17 in decreasing order.\nAnswer: 4\/9, -2\/17, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*z**3 - 85*z**2 + 11*z - 272623?\nAnswer: -15*z**2 - 170*z + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*g - 3 = 0, 3*g = -b + 4*b - 12. Let h be (9\/(-18))\/((-1)\/36). Suppose 4*t - 18 = h. Calculate the remainder when t is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 3*h + 9344 = -4*l, 4*h + 11680 = 5*l. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -33. Let k = -1 + 1. Suppose -5*s = -0*u - 4*u + 8, -3*u + 2*s + 6 = k. Which is the closest to u? (a) 0.4 (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*((-p - p**2 + p)*(-3*p + 2*p - 2*p) + 2*p**3 + 3 - 3).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22334 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011553 to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45200 rounded to the nearest 1000?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 15080*z**2 - 521495*z - 536580.\nAnswer: -5*(z - 2981)*(z - 36)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owzlwlzozwrcl. What is prob of sequence lwlw?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ishf when four letters picked without replacement from pssiippihiqifsf.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14974?\nAnswer: 2, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 622.6968nm to kilometers.\nAnswer: 0.0000000006226968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*r - 6*r - 10, -v + 5*r + 6 = 0. Let p = 0 - v. Suppose i - p = 2*i, 5*i = -4*c + 196. Calculate the remainder when c is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**4*u - 206*d**4 + 5*d**2*u - 8*d**2 - 4*u wrt d.\nAnswer: 120*d*u - 4944*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - h - 3. Let j be w(-3). Let a(r) = -r**3 - 7*r**2 - 9*r. Let i be a(-7). Calculate the greatest common divisor of j and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.33711 times 0.4?\nAnswer: 1.334844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16700231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tltp. What is prob of picking 1 p and 1 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -6*d - 21*d**3 - 3*d**5 - 51\/4*d**4 - 33\/2*d**2 - 195. Determine q, given that u(q) = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*z - 76, 12 - 2 = -5*z. Let b = 34 - k. Let w = -1750 + 1841. What is the highest common factor of b and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18806?\nAnswer: 2, 9403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**11*v*v**(-5\/3)*v*(v*v\/(v**0\/v))**(-1\/55) assuming v is positive.\nAnswer: v**(1861\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of (6 - 1994\/(-4)) + 1\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/18)\/((51250\/(-300))\/205)*2\/14.\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*t + 2*q, -59*t - 3*q = -55*t - 104. Solve 0 = 2*d + 4*n + 18, -d - 23*n = -t*n + 11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (2 + 1)) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*h - 86*h - 30*h + 8880 for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -111220012110021?\nAnswer: 111220012110012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 29 + 14 - 208*z)*(11*z - 17*z - 6*z).\nAnswer: 2496*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.424 + 0.224. Which is the nearest to -0.1? (a) -5 (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 - (3 - (11 + -9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3*x\/x**6)**3\/(((x**(5\/4)*x)\/x)\/(x*x\/x**(1\/7)*x))**(-5\/11) assuming x is positive.\nAnswer: x**(-2073\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*(10\/(-15))\/(66\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 100.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 smaller than -92\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -672515*o - 7. Determine t(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2128850, -4257675, -6386500, -8515325?\n\"Answer: -2128825*w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -95, 0.5 in ascending order.\nAnswer: -95, -1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*x + 1533. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540*b**2 - 8479082*b + 31404 = 0.\nAnswer: 1\/270, 15702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -34 (c) -0.5 (d) 0.5 (e) -2\/5 (f) -130\/7 (g) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.61 + 0.09. Let r = 0.756 + 0.244. What is the nearest to j in 3\/2, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1389168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, 3, 1, -23 in ascending order.\nAnswer: -23, -4, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/437394926 and 75\/22?\nAnswer: 4811344186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*i + 98, i + i = -2*c + 58. Suppose -3*d - i - 16 = 0. Round d to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*sqrt(7) + 4.\nAnswer: 4 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2557, -2552, -2547, -2542, -2537?\n\"Answer: 5*b - 2562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 181 - 179.22. Let k = u - 0.92. Round k to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/15974?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 863 - 1363. Round x to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -42.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6234 (base 7) to base 13.\nAnswer: cba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.4 - -9.1. Let o = 0.18 + 0.22. Which is the closest to 1\/3? (a) -4 (b) o (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210002 (base 3) to base 11.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99188356 and 6606.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*47*(-208)\/(-26). Let q = -266 - d. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/(-8) - (-30)\/40. Suppose 2 = -h*z - 2. Which is greater: z or -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -344365775 divided by 598897.\nAnswer: -575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 2. Let v(g) = -219 - 330 - 224 + 771. What is -4*o(d) - 6*v(d)?\nAnswer: -4*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15713\/126 or 125?\nAnswer: 15713\/126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 27, 3, 5, -3 in descending order.\nAnswer: 27, 5, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -279 - -395. Let j = -108 + v. Suppose 0 = -j*x + 112 - 16. What is the greatest common factor of 108 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 542162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 + -44.9. Let t = g + -0.1. Let r = 4 - t. Which is the nearest to -1? (a) r (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 9*i**2 + 2*i + 10. Let u(x) = -19*x**2 - 4*x - 21. Calculate -13*q(h) - 6*u(h).\nAnswer: -3*h**2 - 2*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 4*w - w + 3*w + 1. Suppose 0*t = 6*t - 42. Suppose -t*s = -s - 24. Let d(i) = 3*i - 3. Give s*n(f) + d(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, v: 6, x: 2}. Give prob of picking 1 d, 2 v, and 1 x.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d - d)*(0 + 4 + 2)*((4 + 0 - 2)*(2 + 3*d - 2) - 2*d - 3*d + 3*d + (-d + 4*d - d)*(2 + 1 - 4) + 4*d - d - d)*(-d**3 + d - d).\nAnswer: 72*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16842.8 and -1.168.\nAnswer: -19672.3904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*p - 6 = 0, 4*u - 3*u = -4*p - 10. Find the common denominator of -37\/22 and u + 63\/18*55\/7.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*d = 12, 4*d + 16 = 3*p + 2*p. Suppose -5*t + 15 = -5*h, p = 5*t + 4*h + h - 5. Which is the biggest value? (a) 2\/193 (b) -2\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s + 23. Suppose -5*b = -3 - 17. Suppose 5*d - b*f - f - 20 = 0, -3*f + 3 = 0. Let g be y(d). Solve -19 = -4*u + 3*c, -c = -3*u + c + g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - 4863 + 2427 + 2436.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q + 47. Let h(b) = 7*b - 54. Let x(z) = 5*h(z) + 6*k(z). Let d be x(-33). Solve -s = d - 42 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.332 - 0.543. Let q = 27.211 + b. What is the second smallest value in 1\/4, q, 1\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cppc when four letters picked without replacement from {p: 1, c: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-36) - (-60)\/27. Let b(m) = 5*m**2 + 4*m**3 + 2*m**3 + 2*m - 7*m**3. Let u be b(5). Solve -5*w = -5*c + 2*c - u, -10 = -l*c - 5*w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 4\/61, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -5, -1, 3, 688.\nAnswer: -5, -1, 3, 49, 688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319 = -11*q + 3*j + 263, -q = -5*j + 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6480 = -2*b + o, -5*b + 694 = -4*o + 16891. Let d = 859 - b. Round d to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-14)\/(-8))*(-49)\/14. Suppose -4*k + 284 = 5*j - l*k, 106 = 2*j - 3*k. What is the highest common divisor of 42 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/4 or -22807696?\nAnswer: -22807696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 - 7*x**2 - 26*x + 8. Let j(w) = 2*w**2 - 69*w + 43. Let t be j(34). Let b be y(t). What is the highest common divisor of 70 and b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 4 = v - 4*t, v - 3*t + 10 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 225529 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45396*r**2 - 3 - 45397*r**2 + 3.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*t - 40, -2*t + 27 = 2*r - 3*t. Let k = 23 + -16. Calculate the highest common divisor of k and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*o - 952, 5*d - 3*d - 2*o = -634. Let l = 3763\/12 + d. What is the common denominator of l and 53\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, -2\/3, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290137145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 7*s**3\/3 + 13*s**2\/2 - 11*s. What is the first derivative of y(u) wrt u?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, -54\/5, -3, -16\/7?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 224 or 5?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 6 = -3*x - 3, -3*x - 2*a + 3 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 822 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 7*m - 6. Calculate q(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -40 + 0?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -59*c**2 + 167*c - 98 = 0. What is c?\nAnswer: 49\/59, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1064*f + 6593. Calculate g(-6).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1198, 2399, 3598, 4795?\n\"Answer: -h**2 + 1204*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -248, -725, -1568, -2879, -4760, -7313?\nAnswer: -10640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-64 - (0 - -3)). What is the remainder when -2*s*2\/4 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291 = 2*l - 3*z, 2*l - z - 256 - 29 = 0. Let u = -13 + l. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 2*g**2 + 12 + 3*g)*(399*g + 2340*g**2 - 399*g - 25*g**2).\nAnswer: 4630*g**4 + 6945*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**5\/4 - 807*h**4\/4 - 3933*h**3\/2 - 6240*h**2 - 6216*h = 0.\nAnswer: -259, -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 3*x**2 + x + 3. Let o be (-12)\/8 - 6\/(-4). Suppose 5*g = 0, i + 5*g - 9 - 3 = o. Let u be 12\/10*30\/i. Determine b(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l = -3. Let f(i) = -4*i - 2 + 3*i + 3. List the prime factors of f(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19168779.6ns to days.\nAnswer: 0.000000221860875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121042 or -121039?\nAnswer: -121042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29231679 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 44533 and 44484 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*1*-4*2*sqrt(121))\/(4*-4*sqrt(55)\/(2*sqrt(5))))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1.11 * -15\nAnswer: -16.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -56 + -18 - -51.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 124, -17 in descending order.\nAnswer: 124, 1, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -27*y**2 + 3*y - 2. Determine i(1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**5\/9 + 28496*d**4\/3 + 512980*d**3\/9 - 455968*d**2\/3 = 0.\nAnswer: -8, 0, 2, 85494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1656)\/(-15)*50\/20. Suppose -v + 4*v - i = 0. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = -11 - 25. Suppose 4*v = g + 2*v, 5*g = -v - 22. Calculate the common denominator of -1 + g\/32 - b and -83\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10512 - 4?\nAnswer: 10504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) -1338 (c) 0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 + -1.08. Let z = -36 - -106\/3. Which is the third smallest value? (a) z (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372 divided by -133?\nAnswer: -196\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**3\/6 - 51*b**2\/2 - 2*b + 7. Let f be c(53). Let n = -5 + 8. Solve 0 = 3*l - 3*j + 6, -f*l - 3*l - 2 = n*j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 9*m**2 - 2*m + 8. Let u = 1557 - 1548. Determine c(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89 + -45. Is x a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 8*x**2 + 12*x - 13. Give k(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-16) - 45\/6. Let g(j) = 20*j**3 - 8*j**2 - 8*j. Let c(m) = 13*m**3 - 5*m**2 - 5*m. Calculate o*c(b) + 5*g(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2695.025 tonnes?\nAnswer: 2695025000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6*2\/3)\/(-1). Let n = 19.4 + -17.4. Let b = -28 - -80\/3. Put r, b, n in decreasing order.\nAnswer: r, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 11 = -3*h + 6*t, -3*t - 6 = -h. What is the fourth smallest value in 0, -0.1, h, -1\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1628 and 1628?\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 11*h - 11. Let c be x(9). Solve -2*t + c*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 4 - 1. Let v(t) = -t**2 - 1. Let y(a) = 5*a**2 + 4*a + 13. Let h(c) = k*y(c) + 4*v(c). Does 14 divide h(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -5*l + 24, -63*l = -2*k - 59*l - 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-330)\/(-440)*80\/(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, 3\/7, -4\/31, -16\/7, -2\/7, -5, 3?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 + 0*n + 0*n - n**4 - 2*n**4 + 5*n**4 + (2*n**3 + n**3 - 2*n**3)*(-1 + 1 + n) + 3*n**2 - 3*n**2 + n**4 - 129*n**4 - 172*n**4 + 88*n**4.\nAnswer: -210*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 7*l - 4. Suppose 5*y - 3*y - 22 = 0. Suppose -y = -7*t - 4. Suppose -v - 3 = t. Let r(z) = -15*z + 9. Determine v*r(q) - 9*i(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g = -134 - 26. Solve 5*d = 3*y + 27, g*d - 13 = y + 2*d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 961, 2\/17, 5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 430\/(-15)*((-1548)\/8)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = a - 4*o, 2*a - 3 = 2*o + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, y: 2, o: 2, l: 3}. Give prob of picking 1 b and 1 l.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82136.\nAnswer: 2, 10267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 6*s + 6*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96696 and 952?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(304) + (-1*sqrt(304) - sqrt(304)) + sqrt(304))*6 - (sqrt(304) + ((0 + sqrt(304))*4 + sqrt(304) - sqrt(304)))))**2.\nAnswer: 273600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1701 + -1705. Let u = -1.2 - -1. Which is the closest to -0.1? (a) -1\/6 (b) t (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(2\/9)*c)\/c)\/c*c\/(c*c**(3\/4))*((c*(c*c**0*c)\/c)\/c)**(1\/3))\/((c**(2\/19)*c)\/(c**(-8)\/c))**(-32) assuming c is positive.\nAnswer: c**(220367\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 92587?\nAnswer: 4\/92587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 43*k + 197. What is the remainder when 69 is divided by c(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -414, -1156, -2402, -4158, -6430?\n\"Answer: -h**3 - 246*h**2 + 3*h - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -20*q - 16. Let f(r) = 39*r + 32. Let w(x) = 5*b(x) + 3*f(x). Differentiate w(n) with respect to n.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026253633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3464908 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1999404397.\nAnswer: 223, 8965939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2*b - 5 + 9)*(-9*b + 31 - 31) as u*b + w*b**2 + o and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (576\/(-27) - 2\/3)*-1. Suppose n*j - j - 1050 = 0. What is the least common multiple of 32 and j?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + (sqrt(637) + 1 - sqrt(637)))*6 - ((sqrt(637) - sqrt(637)*-2) + 2 + 4*(sqrt(637) + 2*sqrt(637) + sqrt(637))))*-4)**2.\nAnswer: -119168*sqrt(13) + 3691856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 q when three letters picked without replacement from {l: 2, x: 1, q: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11101111110011001011001 (base 2) to base 10\nAnswer: -7857753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28737 + 28747. Solve -5*g - 5*x = f, 5*g + 7*x - 6*x - 6 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/5 + 468*k\/5 - 27378\/5.\nAnswer: -2*(k - 117)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 293925800?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.10451 - -56.80549. Let k = 57 - r. Let u = -4 - -4. Is k less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 146 (b) 5 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2211 (base 5) to base 8.\nAnswer: -462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19776\/(-515) - 3\/5) + 13.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**5\/6 + f**4\/3 - 7*f**3\/2 + 11*f**2\/3 + 10*f\/3 - 4 = 0.\nAnswer: -6, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -144 - -16. Let c = -128 - o. Is 36*((3 - 0) + c) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -17*h - 13. Let r(o) = o + 33. Let p(j) = -3*j - 56. Let q(a) = -3*p(a) - 5*r(a). Determine -18*q(y) - 4*x(y).\nAnswer: -4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 11*s**2 - 11*s + 10. Let t be k(10). Suppose -2*a = -8, 4*h - 5*a + 4 + 20 = t. List the prime factors of (-3 - (h - -1)) + 13.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 - 26702168*w\/5 - 89125721987528\/5.\nAnswer: -2*(w + 6675542)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 5. Let c(f) = f - 7. Let x(i) = 5*c(i) + 7*t(i). Let u(s) = -24*s. Determine x(u(w)).\nAnswer: 48*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*n - 14. Let p(v) = v + 166*v**2 - v**3 + 2*v - 164*v**2 - n. Let z be p(2). Solve 0 = 2*f - b - 1, -3*f - 7 = -2*f + z*b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**8\/336 + 58*w**6\/15 - 349*w**5\/20 - 816*w**2. What is the third derivative of a(q) wrt q?\nAnswer: 60*q**2 + 2784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 3) + -4 + (-78)\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**2 + 420*p + 8820 = 0. What is p?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1923)\/2564)\/(-1*(-1)\/4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and 346341.\nAnswer: -4848774","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 544 + -550.03. Let b = -6.9 - l. Round b to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g + 8. Let p be s(2). Let w be ((-6)\/(-4))\/(p\/(-208)). Does 2 divide (w\/3)\/((-22)\/33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -979 = -m - 462. Is 516 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z + 2*z**2)*(263*z + 154*z - 38*z).\nAnswer: 758*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*h + h**2 - 22 - 10 + 32.\nAnswer: h**2 - 63*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.40164 rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32364)\/58590 + ((-8)\/(-12))\/(14\/(-1)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 285 or 336?\nAnswer: 336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**2\/2 - s - 2. Let d be j(-3). Let l(t) = 3 - 4*t**d - 2 - 4*t**2. Determine l(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/18 - 902\/861*2\/3?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, a: 3, d: 1, k: 1, e: 1}. What is prob of picking 1 a, 1 d, 1 e, and 1 m?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*u = 2*f + 5, 0 = -4*u + 20. Solve -25 = -f*v - x, 3*v + 35 = 7*v + 3*x for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1895\/(-1575) + (-2)\/7 and -3?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -11*n - 1. Let q be h(10). Let u = q + 51. Is u\/1*(-4)\/10 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 8. What is the greatest common factor of 44 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112.32 - 2.32. Let z = 110.06 - o. Sort z, -0.4, 3, -0.2.\nAnswer: -0.4, -0.2, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -524 divided by 4?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 38.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 449 + -448.9. Let o be (-12)\/(8\/(-2))*-16. Let b be 2 - (-2)\/o*39. What is the second smallest value in h, b, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 666*n = 667*n. Let j(z) be the first derivative of n*z**4 + 10 - 5*z**2 + 0*z**3 + 4\/3*z**6 + 0*z + 0*z**5. Find the second derivative of j(o) wrt o.\nAnswer: 160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/314 and 29\/11.\nAnswer: 3454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 784?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t*t\/t**(5\/2)*t)\/t)*t)\/t)**(1\/35) assuming t is positive.\nAnswer: t**(1\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 74\/5*o**3 - 4*o**4 + 0 - 24*o**2 + 72\/5*o + 2\/5*o**5 = 0?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/4)\/(2\/(-8)). Let f(i) = 0*i - o*i - 6 - 4*i. Let r(k) = 4*k + 4. Let n = 21 + -14. What is n*r(m) + 5*f(m)?\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-20)*0)\/(-3) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 - 705\/(-55) - 4*(-1)\/22. Solve u = 5*f - 24, -m*f - 40 = -12*f + 5*u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from iiililiiillllilill.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -4*g**3\/3 + 2*g**2 - 2*g + 1227. Let d = 7 + -10. Let q(r) = -r**2. Let a(i) = d*q(i) + n(i). What is a(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16905697961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.24 and -42?\nAnswer: 41.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 117?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y = 16*y - 25, 3*x - 133*y + 721 = x for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -131.46 + 103. Let d = h - 9.44. Let j = -56 - d. What is j rounded to 0 dps?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 4389*j**4\/4 - 1550*j**3\/3 + 2681. Find the third derivative of d(w) wrt w.\nAnswer: 26334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i = -2*d + 3163249, 7908100 = 5*d + 2*i. Suppose d + 536378 = -3*o. What is o rounded to the nearest 10000?\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 432816 divided by 5.\nAnswer: 432816\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 - -15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + -1 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -269.7.\nAnswer: -539.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 212897 by -2.\nAnswer: -212897\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -335\/3 in -0.3, -106.3, 1\/3?\nAnswer: -106.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 6. Suppose -15*n - 29 - 3 = 103. Calculate y(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 4 - 3 + 11)*(-54*h - 26*h - 15*h).\nAnswer: -285*h**2 - 380*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t. Let z(i) = 32714*i**2. Calculate v(z(p)).\nAnswer: -65428*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 446 in 0.9, 54, -3\/8?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 920539\/60 + -15344. Find the common denominator of 1\/10 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 1:18 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -10238*o - 20513. What is w(-2)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/((((w\/(w**(-4\/7)*w))\/w)\/w)\/w)))\/w**(-1\/3)*w\/w**14*w\/(w**(-10)\/w*w*w) assuming w is positive.\nAnswer: w**(-107\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 - 16*g + 6. Let y be x(8). Solve 4*b = -5*h + 2 + 33, 3*h - 3*b = -y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1005 + -450. Suppose 0 = -563*t + d*t + 10840. Is 95 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7230*u**2 + 60*u**3 - 14423*u**2 + 7203*u**2.\nAnswer: 60*u**3 + 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82.2 + -34.9. Let q = v + -46.922. Let b = -0.074 + q. Round b to two dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {i: 1, v: 1, s: 1, t: 1, a: 1, h: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -3*j + 32 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2161913 is divided by 270238.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000263936 to six dps.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 16\/(1 + -3)*-33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = d + 21 - 14, -5*d = -2*a + 125. Suppose -o = 7*j - 3*j - 12, 156 = 5*o - 4*j. Let k = d + o. What is the remainder when k is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 246 - 426. Find the common denominator of 83\/2 and ((i\/(-44))\/(-3))\/(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213401 (base 6) to base 13.\nAnswer: -8050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 9. What is the highest common factor of 64 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 10:06 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -236 - -218 - (0 + -7 + 40).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -9 + -15 + 32.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -100*a + 3450. Let d be s(28). Calculate the greatest common divisor of d and 4420.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g - 24 = 0. Suppose 0 = -2*t - 2*t + g. What is the second derivative of 3*m**t + 5*m - 4*m + 2*m**3 + 2*m wrt m?\nAnswer: 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from {b: 8, k: 5}?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p + 7. Calculate the remainder when j(-6) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/23 and 9\/2380.\nAnswer: 54740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 16*d + 2. Which is the smallest value? (a) -0.5 (b) 82 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 26*i - 960 = 0. Let c be 8\/3*90\/i. Solve c*l = -3*l + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 17*c**2 - 136*c + 155. Let x be n(7). Solve 0 - 126*u**2 - 10\/3*u**5 - 102*u**3 - 94\/3*u**4 - x*u = 0.\nAnswer: -3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c - 12 + 12. Let y(u) = -3*u. Let j(b) = -5*g(b) - 4*y(b). Determine j(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16721819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000030574 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than -6.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001247 to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9283 - 9003. What is the highest common divisor of l and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 10*j - 1, j = -2*o + 2378 - 2339 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48495617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 1. Let p = 17 - 13. Let s be g(p). Suppose -8*h + 39 = -s*h. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1367, 1848, 2327, 2804, 3279, 3752?\n\"Answer: -d**2 + 484*d + 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 862 + -296. List the prime factors of s.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 11*u - 5. Let m(d) = -78*d + 36. Let f(z) = 36*j(z) + 5*m(z). Let n(t) = -2*t. Calculate n(f(w)).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2950*a + 1264. Calculate the least common multiple of h(3) and 10.\nAnswer: 50570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 19 = 11 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/111 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 4. Let m = n + 0.4. Let o = 0.8 + m. Round o to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 10:50 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -18406431 + l - 111*l**2 + 18406431. Let j(k) = 5*k. Give j(x(s)).\nAnswer: -555*s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -500 by 1.\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 - 48*o + 22. Give m(-17).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 - 47*m + 47*m + (m**2 + 2*m**2 - 2*m**2)*(-2*m + 4*m + 4*m) - 6*m**3 + m**3 + 3*m**3)*(21*m - 1 - 9*m - 7*m).\nAnswer: 35*m**4 - 7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33\/165857 + -255924149\/34166542. Let d = 1\/103 - h. Let n = 311 - 932\/3. What is the common denominator of d and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 8*r + 9. Let s be u(7). Let y(t) = -13*t + 2. Let m be y(s). List the prime factors of 1*-2 + m\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 5*u + 13, 0 = 2*j - 4*u + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14739 and 1053405?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*l**2 + 10*l**2 - 43*l**2)*(0 + 4 - 7)*(-5*l - 4*l - 13 + 11*l) to o*l**2 + z*l**3 + j*l + t and give o.\nAnswer: -1638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 87424673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 3137, -4, 1 in decreasing order.\nAnswer: 3137, 8, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 9. What is the remainder when 30 is divided by o(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-1)\/(((-3)\/18)\/((-7)\/42))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 291?\nAnswer: 29.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -137*n + 136*n + 4*g - 8, -5*n + 36 = -g for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i - 69. Let h be u(12). Solve -p - h = -3*p - k, 5*p = -4*k + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - -7)*1\/2. Suppose 10*a = 5*a - 50. Let s = 15 + a. Solve -m + x - 1 = 3, q = -s*m - 2*x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 5*h = 361 - 452, -239*w - h + 3088 = -4011 + 173 for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 19557\/656 + 9*-1.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 7*m**2 - 6*m. Let r be u(6). Suppose -t + 14 = -r. Let b = t - 10. Put 3, b, -10 in increasing order.\nAnswer: -10, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 199597932 and 2781.\nAnswer: 2781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 180*v**5 - 908*v**4 - 3020*v**3 + 3916*v**2 - 168*v = 0. What is v?\nAnswer: -3, 0, 2\/45, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -722.7? (a) -126 (b) -2 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -753*j**2 + 6794 + 6814 - 13632 + 138*j wrt j?\nAnswer: -1506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 10*c - 8*c + 4, 0 = -c - 4*t - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 21*p + 312 - 186 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*l - 3 - 42 = 0, 5*l = 10. Solve 0 = h*u + 10*u + 325 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(2\/17)*h)**14)**(1\/11))**(-17))**37 assuming h is positive.\nAnswer: h**(-9842\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 9:26 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -85, -595, -1915, -4429, -8521, -14575, -22975?\n\"Answer: -64*j**3 - 21*j**2 + j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 7 + 17. Let a be q\/24 + (-32)\/6. Let h(f) = -2*f + 4. Calculate h(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.48, -68, 0.7, 1.7 in descending order.\nAnswer: 1.7, 0.7, 0.48, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*p + 31, 4*p = 5*p + 5*u - 25. Let o(i) = -17 + 11*i + p - 17*i**2 + 13. Let a(n) = 6*n**2 - 4*n - 2. Calculate -11*a(d) - 4*o(d).\nAnswer: 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*p + 38 = 46*p. Suppose p = -0*l + 3*l - t, 3*t = 2*l - 22. Sort 1, l, 4 in decreasing order.\nAnswer: l, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2961\/2820*(1 - (-11)\/77)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 8:54 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25611 + -12501. What are the prime factors of p?\nAnswer: 2, 3, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 29389206?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4, 3*m - 2*f - 26 = 2. Suppose -m = -p - p. Suppose -4 = 4*w - p*b - 8, 4*w - 25 = -3*b. What is the second biggest value in -4, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 - 2*r**2 + 3*r**2 + (-5*r**2 + 2*r**2 + r**2)*(-1 + 1 + 4) + 3*r - 3*r - r**2.\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25\/(-75) - (-4)\/(-6). Let a be ((-6*(-3)\/9)\/(-2))\/i. Solve d + z - 3*z - a = 0, 2*z = -2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/17 - 94\/221. Let r = k + 7\/65. Let m = -50 + 49. Which is smaller: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1845076 is divided by 461258.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 20, 26, 1 in ascending order.\nAnswer: -3, 1, 4, 20, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (348\/17110)\/((-4)\/35) and 97\/590.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 81668 (base 12) to base 2\nAnswer: 101001001001110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/419 at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -9. Suppose z + 0*z = d. Let s be 1\/2*(z + 6). Solve 2*k + 3*k = s*q - 3, -5*q - 5 = -5*k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1. Let x(y) = 4*y - 9. Calculate -6*g(f) - x(f).\nAnswer: -4*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -72544 * 2.\nAnswer: -145088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pydtpjy. What is prob of sequence dty?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -12*q**2. Suppose 0 = 5*p - b - 2331, 2*b + 1866 = 6*p - 2*p. Let g(h) = p*h + 468*h - 931*h. Give w(g(d)).\nAnswer: -108*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1633 + 6196 - 13496*s + 18473*s wrt s.\nAnswer: 4977","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 7:25 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 70 = -5*i, -840*v - 4*i = -838*v + 34 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**5 + 2*p**2 - 1. Let q(x) = -2*x**5 - 3*x**4 + 9*x**3 + 2*x**2 - 2. Let u(n) = 10*o(n) - 5*q(n). Determine f so that u(f) = 0.\nAnswer: -2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 97*x**3\/6 + x**2\/2 + 349*x + 2. Let a(y) = 2*y**2. Give o(a(n)).\nAnswer: 194*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347456495.\nAnswer: 5, 1361, 51059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1518484*h + 9303337.\nAnswer: 1518484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2, 4 in descending order.\nAnswer: 4, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1056)\/220)\/((-54)\/9390). Is q greater than 835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(396))**2*-6 + (3 + sqrt(704)*-4)**2.\nAnswer: -192*sqrt(11) + 1769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(14)\/(sqrt(28)\/sqrt(4)) + (-3*sqrt(20)\/sqrt(2) + sqrt(10))\/sqrt(5).\nAnswer: -sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -195.06 - -123.06. Put -1, 4, d, 0.5, -2 in descending order.\nAnswer: 4, 0.5, -1, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-6))\/((-25)\/600). Suppose 0 = -6*f - d*f + 44772. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 400 and 1557925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, m: 9}. What is prob of sequence mrmr?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 7:23 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*r + 24. What are the prime factors of r + ((-284)\/(-4) - 2)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1*3\/6*(8942\/(-935) - -12) and 49\/121?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 5970\/319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*v - 11. Suppose -v*t + 5*y = 85, -4*t - 39 = 3*y + 22. Let b be (t\/6)\/(32\/(-432)). Calculate the greatest common factor of 36 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -11. Let d = i + -9. Suppose 0 = 2*z + 2*y - 8, -d*z + y + y + 16 = 0. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -2*b + 5, 9*b = 55*f - 36*f - 18*f + 33 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**4\/4 + 7*p**3 + p**2\/2 - 20*p + 49. Let s be v(21). Solve s = -3*c + 7*c + n, 0 = c + 3*n - 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11\/2 - 4. What is the second smallest value in z, 4, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 1. Let q = -19 + 21. Let o be (-2)\/q*(0 - 2). Let d = 152 - 155. Let y(a) = -a - 2. Give d*y(t) + o*c(t).\nAnswer: t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 10\/21*i**3 + 0*i + 1\/21*i**6 - 2\/7*i**2 - 3\/14*i**4 - 2\/35*i**5 - 4. Factor l(z).\nAnswer: 2*z*(z - 1)**3*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 5.3. Let n = 0.2689 - 4.2689. Put n, 1\/3, c in ascending order.\nAnswer: n, c, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 3*h + 21. Let t(l) = l**2 - 8*l + 17. Let w be t(-7). Let x be 4\/(-16) - (1 - w\/8). List the prime factors of y(x).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 25 = 3*g. Suppose 0 = 2*t + 3*o - 6, -2*o - 11 = -3*t - 2. What is the remainder when g is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72488 by -697.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13133152347 from 60.303.\nAnswer: 13133152407.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -918 (base 12) to base 5\nAnswer: -20231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.081, -1\/3, -3 in increasing order.\nAnswer: -3, -1\/3, -0.081, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/43799 and -53\/4786.\nAnswer: 209622014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-20)\/36*-6*(-354)\/(-4) and 15.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 13, x: 3}. Give prob of sequence xx.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 8 = -4*x, -x + 3*d - 2*d + 2 = 0. Suppose 0 = x*v + v - 3. Let i be (-170)\/3*6*v. Round i to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 190755, 382036, 573317, 764598, 955879, 1147160?\n\"Answer: 191281*j - 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80.53 - -80. Let q = d + 0.43. Let y = 2 - 1.7. What is the nearest to 1 in y, -0.2, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + -448. Let o = -860 + 513. Let h = o - g. Does 44 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.165 + 0.135. Let n = -263.5 + 274.07. Let h = n - r. Round h to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2119*r + 5. Let k(y) = 12*y - 1. Give -4*k(w) - n(w).\nAnswer: -2167*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 4. Suppose -14 = -w*p - 2. Calculate the remainder when 8 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-8)*3*1012\/759 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -378.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 4*m + 6*m + 3 + 6 as o*m + g and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10 - -91)*8\/6. Sort 5, d, -1 in ascending order.\nAnswer: -1, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 24*h + 4*h + 21*h)*(0*h**4 + 4*h**4 - 2*h**4).\nAnswer: 2*h**5 - 8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2589746 rounded to 3 decimal places?\nAnswer: -0.259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgj when three letters picked without replacement from {g: 5, j: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 2*u + 219, 3*j = 12*u - 9*u + 144. Calculate the least common multiple of j and 138.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 11:05 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2278.\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h**4 + 22 - 43 - 2*h**4 + 8 wrt h.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4860, -4864, -4870, -4878, -4888, -4900, -4914?\nAnswer: -4930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000117934 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20189 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -195 - -299. Suppose -4*c + 8*c = f. What is the remainder when c is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-29)*z)\/(z\/z**(-45)) assuming z is positive.\nAnswer: z**(-73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2116126849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 9*g**3 - g + 1. Let o be h(1). Let t = o + -4. Let i be t\/(-20) - 13\/(-4). Which is the second biggest value? (a) -0.5 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117*k - 2*k**3 - 234*k - 2*k**2 + 115*k + 1 - 3*k**4 to the form w + c*k + t*k**4 + v*k**2 + h*k**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 71*r - 1253. Let m be g(-37). Solve 4*y + 2*q = 5*q + 8, m*y + 4*q + 21 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 72 = -8*m. Let p = m + -11. What is the least common multiple of p and ((-4)\/6)\/(1\/(-3))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4608, -4681, -4796, -4959, -5176, -5453, -5796?\n\"Answer: -a**3 - 15*a**2 - 21*a - 4571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**2*c))**(-4\/19)*(c\/(c\/(c*(c*c**(-5)*c)\/c))*c*c)\/(c**(-1\/2)*c))**(1\/11) assuming c is positive.\nAnswer: c**(-3\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*u = 5*u + 22, -4*t - 5*u = 40. Suppose -9*l = -16 - 11. Suppose 0 = -2*k - 4*m - l - 17, 19 = -k - 5*m. Sort 0, k, t.\nAnswer: t, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 304 and 128?\nAnswer: 2432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 5. Let k be h(10). Let s(u) = 4*u + 17. Calculate the common denominator of 41\/5 and s(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (627\/(-7))\/(-11) + -8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.2, 0.4, -0.021, -0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2882.413 * -1.\nAnswer: -2882.413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/4 + 9810099*p - 32079347463267.\nAnswer: -3*(p - 6540066)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -521 + 524. Let l(j) = 2*j + 0*j**2 - c*j + j**2 + 10 + j + 10*j. Determine l(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25 + 6314\/(-238))*51\/(-3)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3839 - -6422. Is c a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + 2)\/(((-36)\/96)\/(-3)). Suppose -3*s + 87 = 5*z + 16, s + 19 = z. What is the greatest common factor of w and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.93 + -12.1. Let f = c - 46.83. Let m = 48 + f. Put 4, m, 1\/7 in descending order.\nAnswer: 4, 1\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 1:26 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*b**2 + 44*b - 183*b + 69*b + 70*b.\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.1 - -397.3.\nAnswer: 394.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 19*z**2 - 5. Let v be (40\/16)\/(375\/450). Suppose 2 = -y + 3*m, 2*m - m + 21 = -4*y. Let i(k) = 10*k**2 - 3. Determine v*o(h) + y*i(h).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 + 60. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = -81 - 87. Let x = h + 34. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 6*d + 5. Let u be q(6). Suppose -79 = -2*f - 85. Let m = u + f. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 7. Let s = a - -0.9. What is the closest to 2 in 3, -0.3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 - 3*m**5 - 2*m**4 + (2*m**4 + 0*m**2 + 0*m**2)*(-m + 7*m - 4*m).\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence udj when three letters picked without replacement from jjffjujd.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ioooioo?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 s, and 1 p when three letters picked without replacement from {w: 2, e: 4, t: 3, p: 1, s: 6, m: 3}.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.412 - 0.512. Which is the closest to 0.1? (a) 3 (b) -5 (c) n (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-4)*12\/2. Calculate the common denominator of -2*(-2)\/((-4)\/q) and -45\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/((-35)\/553*-1). Put c, 8, 3 in decreasing order.\nAnswer: 8, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -325.4 - -325. Suppose -4*x + 15 = 3*i, -3*i - 4*x = 2*i - 17. Sort i, z, -3 in ascending order.\nAnswer: -3, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ndan when four letters picked without replacement from nnnda.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 6*h + 7. Give g(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/80 - 18*(-20)\/(-2880)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-7 - -7) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4153420?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 14 = 4*v. Suppose -6*m + m + 2*x + 41 = 0, -v*x + 8 = 0. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -493*f + 6957. Let t be j(14). Solve 28*r + t = 17*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/(36\/27).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cayaayyyacayaaaay. Give prob of picking 4 a.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 26358283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -8*j + 4. Calculate h(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 13 = 27. Let m be (-8)\/s - (-4)\/(-10). Which is the third smallest value? (a) 4\/3 (b) m (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 7*v + 10. Let p be i(-8). Let a be -1*p\/5*10. Let k = -2 - a. What is the remainder when 2 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2484 is divided by 172.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -888 (base 14) to base 13\nAnswer: -9cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31311646?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/5)\/(4\/(-10)). Let i = -5 + s. Let p be -1*(-2 - i - 1). Is p smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njn when three letters picked without replacement from jnjqxnnxjqjjpnnqnqq?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 16.1. Let k = -3 - d. Let j = 0 + k. Which is the smallest value? (a) -2\/11 (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 598 + -582. Calculate the least common multiple of 12 and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v - 1. Suppose -5*s = -8*s - r + 29, -5*r + 17 = -s. Suppose 0*u = -3*c - u + 1, -s = -2*c + 3*u. Calculate g(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, -172, -519, -1026, -1693, -2520, -3507?\nAnswer: -4654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 281 = -5*v - i, 5*v - 2*i = 282. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drvkw. What is prob of picking 1 d and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c**2 - 1247*c + 8920. Determine d(131).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcrc when four letters picked without replacement from ccrrc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -4, -4\/9, -6, 14, -0.4.\nAnswer: -6, -4, -4\/9, -0.4, 14, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 + -0.16. Let y = -327\/2 - -4247\/26. Which is the nearest to z? (a) -5 (b) -0.09 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79206503399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -67 < -61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3190586 = -19317*f + 51874*f for f.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 11*r**3 + r**2 - r. Let k be s(1). Suppose -k = 5*c - 41. Let h = 1035 - 1033. Solve c - h = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -4. Let r be (-2)\/a*(-11 - 3). Suppose r = 5*c - 37. Solve 4*j + c = -3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**3 - 3*l + 5*l + 959 + 973 - 1939 in the form m + d*l**2 + q*l**3 + x*l and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*v**3 + 622*v**3 + 713*v**3 - 252*v**3.\nAnswer: 1209*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -0.2 (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 = 35*w + 18*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 35\/((-630)\/24) + (-17)\/(-6). What is the second biggest value in -18, -0.07, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1731.12060914 from 1.\nAnswer: 1732.12060914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, m: 3, c: 4, g: 5, d: 3, a: 1}. What is prob of picking 1 c and 1 m?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -342806, -342793, -342776, -342755, -342730, -342701, -342668?\n\"Answer: 2*w**2 + 7*w - 342815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7500, -14963, -22426, -29889, -37352, -44815?\n\"Answer: -7463*m - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-918)\/612)\/(-6*2\/(-128))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -98 (b) -0.4 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2472*b - 2 + 3 + 3609*b)*(-2 + 2 - b)*(4 - 4 + 1).\nAnswer: -1137*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -606 times -283972?\nAnswer: 172087032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -4\/9 (b) 1\/300 (c) 2 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**3 + 2*f**2 + f + 2. Let n be b(-2). Let h = 30 - n. Let m be h*(-3)\/6 - 1. Let l(g) = -g**2 - 4. Give l(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 10*x + 1. What is j(-8)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2, -16, -52, -122, -238, -412?\n\"Answer: -2*r**3 + r**2 - 3*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12960335?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*t - 5*n, 4 - 7 = t - 2*n. Suppose 10 = 5*q + h, -8*q = -3*q - h - 10. Differentiate 2 + 3*x**2 + q*x**3 - t*x**2 + 0 wrt x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154 and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 * -47.93.\nAnswer: 7.6688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24*(-46)\/(-30912)*-2?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.948 - 13.948. Put z, 0.4, -0.3, -3.3 in ascending order.\nAnswer: z, -3.3, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1850 (base 16) to base 3\nAnswer: -22112112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 12:50 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 682 - 459. Let p = 415 - g. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4995264044 to the power of 1\/5, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 918 divided by 27.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**2 + 8*k**2 - k**3 + k - 2 - 7 + 1. Let w be i(5). Let d be 3450\/(-4)*(-800)\/w. What is d rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/14512 and 33\/8?\nAnswer: 14512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - 4.5. Let c = -109\/3 + 37. What is the closest to -1\/2 in w, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 2 + 6 - 2)*(5*h - 5*h + 8*h**2).\nAnswer: 40*h**3 + 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-21) - 1\/(-7). Which is bigger: -14 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 222467389\/10321872 + 7\/312784. Let q = x + -43\/33. Find the common denominator of 1 + 3 - 201\/(-12) and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36 + -168?\nAnswer: -1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -16. Let u(d) = -d**2 + 6*d - 3. Let q be u(a). Sort 4, 1, q in ascending order.\nAnswer: q, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22603547 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01282 * 0.3.\nAnswer: 0.003846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -171 divided by 57\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*2\/(-6))\/(462\/99)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131 - -131. Suppose -5*u = 3*l - 12, -4*u + l - 3*l + 10 = p. Suppose -5*v + 7 = -u. Solve -v*o + 3 = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from ccccoscccccscscsccsc.\nAnswer: 91\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 6*w = 5*j - 10, 2*w = -j + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 170.8838ml?\nAnswer: 0.1708838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332 = 3*v + 5*w + 342, -4*w = v - 13. What is the second smallest value in -0.2, v, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/5 - (-2 + -55). Round n to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32281\/2773800 - -2\/69345. What is the common denominator of t and -41\/8?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 3*f + 5. Let v be h(2). Suppose 2*g - 150 = 4*j - 0*j, 0 = -5*g + v*j + 340. List the prime factors of g.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.72 * -3275.\nAnswer: -2358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from qjqjqqjvvjjjqqjqzjqj.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 846435 divided by 1.\nAnswer: 846435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 481.01 - 481. Put x, -1, -3\/8, 5\/6 in descending order.\nAnswer: 5\/6, x, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 7 + 15 = 0. Suppose r*d = x + 6, -7 = -4*x - 4*d + 9. Suppose 5*l = -6 + 16. What is the greatest common divisor of l and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-323)\/(-340) - 1) + (-2630)\/(-600)\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-12)*-3 - 1. Let i be 2\/s - 4\/(-6) - -2. Let o(h) = -h**2 - 2. Give o(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v. Let i(q) = -3*q - 11. Let r be i(-4). Let k(z) = -5*z. Let y = -14 - -18. What is r*k(b) + y*m(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*o + 4526 = 52*o - 3322 + 11142 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(45\/27)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**3 - 4*s**3 + 6*s**3 - s**4 + 0*s**4 + 2*s**4 - 3*s**4 + (s**2 + s**2 - 3*s**2)*(0*s**2 - 3*s**2 + 8*s**2).\nAnswer: -7*s**4 - s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-405))\/(2\/(-48)) + -2.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1518.\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert a12c3d (base 14) to base 2.\nAnswer: 10100101100010110100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6115 and -4701.\nAnswer: 28746615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + u - 347 = 0, -135*w + 4*u - 208 = -137*w. Calculate the remainder when 670 is divided by w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0*j + 5*x + 1, 0 = -5*x + 15. Solve 4 - j = -2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - n + 2*n + 241, 2*j - 189 = -5*n. Let c = 43 + -102. Let i = j + c. Solve 31 = -3*q - 4*t, -q - 2*t - i = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1199, 1201, 1205, 1211, 1219, 1229, 1241?\n\"Answer: s**2 - s + 1199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24450056?\nAnswer: 2, 443, 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102 + -50 - -138) + (1 - (4 - 3)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2. Let z(u) be the first derivative of u**3 - 2 + 0 - 2. What is z(i(c))?\nAnswer: 3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 3) + -13 + 12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ba65 (base 12) in base 4?\nAnswer: 110030231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -6236, -1\/4, -8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1168295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*k + 176901 = 19821. Calculate the lowest common multiple of k and 12.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3699.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -629 + 317 - 66*d + 103*d + 312.\nAnswer: 37*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**3 - 2*j**2 + 3*j - 2. Let t(b) = b**2 + 2*b - 23. Let l be t(-6). Let d be c(l). Factor 0*z**d - 2\/5*z**3 + 2\/5*z**4 + 0 + 0*z.\nAnswer: 2*z**3*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-16 + 4 + 23 + -6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229916241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from {k: 1, l: 1, w: 2, s: 2, b: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.00704 (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzzeiqqux. What is prob of picking 1 i and 2 q?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381620 is divided by 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4) - 30\/44. Suppose 45*m - 46*m - 5*l = 0, 0 = 3*m + 3*l. Which is the smallest value? (a) 0.1 (b) 2\/3 (c) m (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + 1*(-1*(1 + sqrt(567)) - (((sqrt(567) - -1*sqrt(567)) + -2)**2 - sqrt(567))).\nAnswer: -2271 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 141 - 702\/5. Which is the closest to -2.6? (a) 5 (b) k (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u**3 + 192*u**2 - 412*u + 432. Let y(v) = v**3 - 61*v**2 + 139*v - 144. Let c(z) = 5*k(z) + 16*y(z). Factor c(q).\nAnswer: -4*(q - 4)*(q - 1)*(q + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k + 41. Let i be u(-18). Solve 0 = 4*j + 3*t + 12, 5 = -3*j - i*t - 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-1)\/6)\/((-837)\/186))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*u - 14*u - u + 2 to v + h*u and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159027 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -3115 and 185134702638.\nAnswer: 185134699523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1078\/147 - (5\/(-3) + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**3*i**3*o**2 - 116*f**3*i**2 - 2*f**3 - 2*f**2*i**3*o - 2*f*i*o + 9*i**3*o**2 - 104*o**2 wrt o?\nAnswer: -2*f**3*i**3 + 18*i**3 - 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66 - 767.\nAnswer: -701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 176 - (0 + 3). Let c = -448 + n. Let s = 461 - c. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44.977 + -44.9791875. What is u rounded to 4 decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*r - 49*r + 94*r)*(3*r - 3*r + 2*r)*(4*r - 4*r + r).\nAnswer: 56*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77)\/(21560\/(-1750))*16\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -20767618 and -20767624 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4) + 9\/12*-6. Let i be -2 + (460\/(-30))\/(4\/v). Let j = i + -19. Solve 0 = j*n + 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66\/5 - 27\/2. What is the common denominator of 282\/54*-3 + 6\/(-4) and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 555 and 125?\nAnswer: 13875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -655106 (base 12) to base 15\nAnswer: -21aa5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 15) to base 12.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(5*(-6)\/90)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 10 = 4*d, -6*d + k + 23 = -d. Let r = d + -1. Let u be 6\/9*r\/(-7). Which is bigger: 10 or u?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (84 - 28 + 116)*(27*f**2 - 2 + f + 0 - 25*f**2) in the form g + o*f + y*f**2 and give y.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4\/7*w**4 + 0*w + 2\/7*w**2 - 2\/7*w**3 + 0 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17342741 at least -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24677080?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/4)\/(70\/112). Sort -0.022, z, 3, -0.4.\nAnswer: -0.4, -0.022, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.406, -1, 1.7?\nAnswer: -1.406","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooosooossossssoo. What is prob of picking 1 o and 3 s?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11649188, -11649192, -11649196, -11649200, -11649204, -11649208?\n\"Answer: -4*u - 11649184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 3 - (-1 - 5)) + 193 + -191\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 290 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.422 - -0.422378. Round s to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/4 - 2931*g\/2 - 41083\/4.\nAnswer: (g - 5869)*(g + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -65\/544?\nAnswer: -65\/544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 2381ca?\nAnswer: 238201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33 - 5*b + 33 + 2*b**2 wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 16*s**2 + 0*s + 3*s - 9*s**2 + 23*s**2 - 2. Suppose 3*o + 0*o - 9 = 0. What is x(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 526*d**2 - 494*d + 233 + 519 + 487*d wrt d?\nAnswer: 1052*d - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/7 in -42, 0.06, -0.1, 3\/8, -4, 73?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -23.79 times -0.2\nAnswer: 4.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 11*g - 12. Let w be k(3). Let j(y) = -y**2 - 5*y + 7. Let u be j(w). Solve 3*t - s + u = t, 3*t + 2 = s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 13 = 14, l + 2*h = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*j - 59*j - 53 + 822 + 1439 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + (-48960)\/1105 - (-251)\/858.\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24976 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/4)*o*o\/(o**(-37)\/o)*(o\/(o*o\/(o*(o**(-6)*o*o)\/o)*o))\/o**(12\/13) assuming o is positive.\nAnswer: o**(1733\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1591 and 629.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.77 times 5?\nAnswer: -3.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 24. What is u(-16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1005 and -0.104371.\nAnswer: -1005.104371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h + 32. Let v be a(-11). Is v greater than or equal to -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwhibbwhikbwwkww. Give prob of picking 1 h and 1 k.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4154*i**2 + 403. Let l(z) = -62*z**2 + 6. Determine -6*k(x) + 403*l(x).\nAnswer: -62*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41.9371 - 0.8521. Let k = 41 - h. Round k to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -5*j**8\/336 - 3*j**7\/14 + 35*j**6\/12 - j**2 + j - 310. Factor x(l).\nAnswer: -5*l**3*(l - 5)*(l + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10 and 58367.\nAnswer: 58357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5*l - 18 + 9 = 0, p + 3 = 4*l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**1)\/k)\/k)**(3\/7)*k\/k**(-5)*k\/((k**(1\/7)*k)\/k)*(k**(-3)\/(k*k**(3\/4)*k))**(-2\/13) assuming k is positive.\nAnswer: k**(179\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005700648 rounded to six dps?\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viffk. Give prob of picking 1 k, 1 v, and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1560127*w**2 + 1234377.\nAnswer: 3120254*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1.13. Let j = l + -0.03. Which is smaller: j or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*d - 408, 0 = -5*d - f + 162 + 882. Suppose -16 = -o - p, 8 = -2*o + 3*p + 40. What is the greatest common divisor of o and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 18 = 2. Let q(u) = 6*u - 7. Let m be q(b). Let l(s) = 20*s**2 + 17*s + 17. Let n(o) = -7*o**2 - 6*o - 6. What is m*n(f) + 6*l(f)?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 5 (c) 21690 (d) 0 (e) 4 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8935303598 take away 29.1?\nAnswer: 8935303568.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -3. Let x = -4220.6 + 4220.7. What is the closest to r in 5, -1, 4, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2820*d - 10237. Is o(135) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 520850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 13*c**2 - 6*c - 22. What are the prime factors of r(-13)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7360, 30699, 70018, 125317, 196596?\nAnswer: 283855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4285354397*c + 7*c**2 - 4285354395*c - c**2.\nAnswer: 6*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2\/11, 6, 3, -2, 2974 in ascending order.\nAnswer: -12, -2, -2\/11, 3, 6, 2974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -358807, -358777, -358727, -358657, -358567, -358457?\n\"Answer: 10*w**2 - 358817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(3\/4)*c**(-1\/13)*(c**(-2)*c)\/c**(2\/17))**(-2\/43) assuming c is positive.\nAnswer: c**(835\/19006)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34561, -69121, -103681, -138241, -172801, -207361?\nAnswer: -241921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 462.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24253.\nAnswer: 79, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 2 - 30. Let p(g) = 5*g**2 - 3. Let h(f) = -6*f**2 + 4. Give u*p(d) - 3*h(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4001612 divided by 63?\nAnswer: 4001612\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -5. Let k be (-20)\/(-15)*-3 - (-69)\/15. Sort p, -1\/4, k in increasing order.\nAnswer: p, -1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 4*a - 1. Let h be q(2). Let t(o) = 29*o - 9. Let m be t(6). Let k be -3 - h - (3 - m). What is the highest common divisor of 20 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2451941.4 + 1715.86.\nAnswer: -2450225.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.4.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12681280 and 7360?\nAnswer: 12681280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3135 and 198?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -706*t + 477*t = 400*t - 6919 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 2*i**7\/21 + i**6\/15 - 3*i**5\/10 - i**4\/6 + i**3\/3 - 2*i - 1. Let m(d) be the first derivative of l(d). Solve m(r) = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41442, 83163, 124884, 166605, 208326?\nAnswer: 250047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 321190381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 724*r**2 - 17*r + 54. Is q(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 3*l - 13. Let c be (156\/(-5))\/(-6) - (-1)\/l. Suppose -3*v - 15 = -3*f, 21 = -3*v + f + 4*f. Put 0, c, 2, v in decreasing order.\nAnswer: c, 2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - 2) + (-80 - -13).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9492, 2, 0.1, -1\/3, 33\/25, -0.2, 4?\nAnswer: 33\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**5\/60 + x**4\/12 - x**3\/2 - 7*x**2\/2 - 19. Let c(n) be the second derivative of o(n). Suppose c(v) = 0. Calculate v.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 529 + -515 + 0 + -24\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -12*c**2 - 175*c - 19. Let f be d(-13). What is the highest common divisor of f and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = y - 3. Suppose -2 = -y*z - 0. Let l be 6*(-8)\/12 + 4. Solve l = k + 4 - z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2282971*o**6 + 753131*o**2 - o wrt o.\nAnswer: 273956520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47.4 - -48. What is z rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 2*r + 2*r. Suppose -3*j + j + 6 = r. Suppose -5*d - j*s = -5*s - 87, -d = 4*s - 35. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45*((-50)\/45)\/((14\/(-84))\/((-3)\/12)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/5 + 128358*v - 1283588\/5 = 0. Calculate v.\nAnswer: -320897, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 156621 (base 7) in base 5?\nAnswer: 1444204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -121*k - 80*k + 4422 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 346, 523, 702, 883, 1066?\nAnswer: 1251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 116525394583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w = 13*w - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1364*0.4.\nAnswer: 545.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*p**3 - p + 6*p**2 - 64*p**3 - 52*p**3 + 148*p**3 - 4*p**2 as v*p**3 + o*p + q + n*p**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 0.04, 0.3, 1\/8?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*r**4*t + 2*r**4 - 16*r**2*t + 2*r*t + 10*r - t + 26 wrt r.\nAnswer: 108*r**2*t + 24*r**2 - 32*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*p + 32*p + 1635 + 48 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -4*k + 3*s + 3661, 5*k - 4*s = 4758. Suppose 19*b - k = b. Calculate the remainder when 112 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11665406.\nAnswer: 2, 53, 110051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 350, 1704, 5384, 12554, 24378, 42020, 66644, 99414?\nAnswer: 141494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/(-22))\/(24\/3)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/2739077 or 0?\nAnswer: 4\/2739077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28\/117 + -599\/2691. Which is greater: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-429)\/792 + 1\/6. Let m = -2\/937 + -1856\/8433. What is the closest to -0.1 in -4, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)*w*w*w)\/((w**(-2\/13)*w)\/w)*(w**9*w)\/(w\/w**(1\/3)) assuming w is positive.\nAnswer: w**(292\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7100, -13493, -19888, -26285, -32684?\n\"Answer: -x**2 - 6390*x - 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21095 (base 12) to base 11.\nAnswer: -2a5a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 153 in -1\/5, 22\/5, 0, -1, -5?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25448 - -36897. List the prime factors of j.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + 3. Let b(q) = -q**2. What is -5*b(m) + j(m)?\nAnswer: 7*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + -1 - (5 + (-3 - 1)). Suppose -5*o + 63 = g*o. What is the greatest common factor of 81 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 1 - (-79 - -66)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-4)\/f))**26 assuming f is positive.\nAnswer: f**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 43 * -324597\nAnswer: -13957671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*a + 143*a**3 - 147*a**3 - 119*a**2 - 19*a**5 + 0*a wrt a?\nAnswer: -1140*a**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -3 (c) -1\/885 (d) -2 (e) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnf when three letters picked without replacement from ffnxxxnnfxnfnnxn.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 13, 0 in increasing order.\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 708\/590*(-5)\/(-7)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 25, 5*d + 9*b - 35 = 5*b. Suppose -14*t - d = 39. Is -11 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 - 33*y**2 - 8*y + 546. Determine x(-16).\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1581 + 1579. Let x = -101\/2 + 52. What is the third smallest value in -0.3, x, 0.4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-403)\/52 + 8)\/((-3)\/36)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5061 + 2283. Which is smaller: 7345 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 1994*m + 35884. What is x(-18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 35092685 = 7087315. What is a rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-84))\/(3\/((-9)\/(-7)))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -5, 41 in descending order.\nAnswer: 41, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.16626 in 2, -0.06, -1\/12, -0.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -11 + -11 + 12. Let i(f) = 2*f**2 + 17*f - 7. Let x be i(z). Solve 2*t = x - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37.73 * -2.574.\nAnswer: -97.11702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 371538, 371642, 371814, 372054, 372362, 372738, 373182?\nAnswer: 373694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 5*g**4 - 2*g)*(1 + 2 - 5)*(33 - 17 - 21) + (1 - 1 - g)*(4*g**3 - 2*g**3 + 0*g**3) + 2*g**4 + 0*g**4 + 0*g**4 + (3 - 4 - 2)*(0*g**4 + g**4 + g**4).\nAnswer: 44*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4400 - -5?\nAnswer: -43a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*4*(-5*(sqrt(648) + -1*sqrt(648)))\/(sqrt(64) - (sqrt(64) - (sqrt(64) - sqrt(64)*-2 - sqrt(64))*-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 8*b**2 - 21*b + 25. What is d(10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.049756 or 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = u - 0. Suppose -2*d + 8 = -2*s, -2*s + u*d - 16 = 2*s. Suppose -x + 0*x + m - 6 = 0, -4*m = -x - 21. Sort x, s, 0.\nAnswer: s, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5\/7)\/s)\/s*s*s*s*s**(-3\/10)*s*s*s**(-5)*s*(s*s*s**(3\/5)\/s)\/s*s assuming s is positive.\nAnswer: s**(-29\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/75*10\/44?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -13*w**2 + 0*w + 0 - 7*w**3 + 1\/12*w**4 + 0*w**7 + 0*w**6 + 1\/28*w**8 + 1\/30*w**5. Find the second derivative of r(g) wrt g.\nAnswer: 240*g**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 1134 = 45*w + 327, 5*w + y - 89 = 0 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 39. Let r be (4\/(-6))\/(4\/(-6)). Is r smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4741*o = -4885*o + 12816 for o.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88291, 176495, 264711, 352945, 441203, 529491, 617815?\nAnswer: 706181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 30544, 61089, 91634, 122179, 152724, 183269?\n\"Answer: 30545*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(2\/37))\/y)**(-13\/6) assuming y is positive.\nAnswer: y**(13\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 2*s - 31, 4*h - 4*s + 0*s = -8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**5\/5 - a**4\/12 + a**2\/2 - 3*a. Let q be i(-1). Which is smaller: -5 or q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.8 + 10.61. Let z = 51.21 + -50. Let l = z - v. Which is the second biggest value? (a) 0.2 (b) l (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10 - -1)*(-10)\/6. Suppose 0 = -1692*v + 1687*v - 4*f + 36, 3*v - 6 = -5*f. What is the greatest common divisor of q and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(88\/(-8)))\/((-3)\/2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -4, 0.2, -3\/4, 0.02, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/49)\/((-2)\/(-56)*-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.116 + -0.116. What is the nearest to 5 in -0.4, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m + 8 = 0. Let o(s) = s**3 + 3*s**2 + s + 2. Let q be o(-2). Find the first derivative of 6*w**4 - 2 - 3*w**m - q*w**4 wrt w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - -5. What is the greatest common factor of n and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -218607076 divided by -6.\nAnswer: 109303538\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 2*z + z)*(2*z - 2*z - 2*z)*(3*z + 22 - 22)*(2*z + 4*z - 4*z).\nAnswer: 24*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -8*z - 68. Let j be t(-9). Solve -n + s = -6*n - 3, 0 = -2*n - 3*s + j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 6*q + 5. Let m be d(5). Let z(k) = -17*k - 5. Let i be z(-10). Suppose 0 = -m*h - 5*h + i. Are h and 33 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + -2 + sqrt(1377) + -1)**2.\nAnswer: -72*sqrt(17) + 5512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 3, -13\/4 in decreasing order.\nAnswer: 42, 3, -13\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (2 - (9 + (0 - 6)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 581344 and 14.\nAnswer: 4069408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11\/3, 6, -1\/2, -3, -2 in increasing order.\nAnswer: -4, -11\/3, -3, -2, -1\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (14 + 0 + -20 + -46)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 14 = 4*t. Suppose p + d = t, 5*p - 21 = 3*d - 10. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 13.7. Let t = r - 1. Let b = -0.1 + t. Round b to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3122 - -6870. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34632 and 318792?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*p - 376 = -78*p. Suppose 863 = t + p. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**2 + 8*q**2 + 2*q**2 + 0*q**2.\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37\/10 + -343\/90. Let v = -0.27 - 0.03. What is the second smallest value in v, t, 3\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*b + 16, -2*a + 5*b - 10 = -47. Suppose 5*n = 4*s - 9, -2*n + s - a + 3 = 0. What is the units digit of ((-3)\/5)\/(n\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/3 - 299936*h\/3 - 99978.\nAnswer: -2*(h + 1)*(h + 149967)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 5*r - 4 + 19, -5*u + 2*r = 0. Suppose 40 = 9*c - 50. Solve -u*n + 0 = -c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -32*r**3 + r + 1. Let o be a(-1). Let b(k) = 33*k - 2 + 2 - o*k. Let i(p) = -3*p**2 + 3 - 3. What is b(i(x))?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 + 0*v + 0*v)*(-334*v**2 + 477*v**2 - 285*v**2)*(-5*v + 2*v + 4*v).\nAnswer: 710*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -31.\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 9*l - 61. Suppose -114*x = -113*x - 6. Let y(u) = 4*u - 30. Let v(c) = x*j(c) - 13*y(c). What is the first derivative of v(r) wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 64001827, 64001824, 64001821, 64001818, 64001815?\n\"Answer: -3*f + 64001830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021062 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-73 - -66)*(-2)\/70.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -4b?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 266349011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 14) to base 10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 1. What are the prime factors of t\/(1*2\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2202200122 (base 3) to base 10\nAnswer: 54449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 b when four letters picked without replacement from bxyjxxbhjyxxxxxxhjx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6*d + 3*d - 7*d + 13 + d**2. Let a be z(9). What is the second derivative of 5*l + 0*l - 162*l**a + 171*l**4 wrt l?\nAnswer: 108*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -3*k**5\/10 - 15*k**4\/8 - 3*k**3 - 31. Find b such that i(b) = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1761, 3847, 7323, 12189, 18445, 26091?\nAnswer: 35127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3127 is divided by 58.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -14*d**2 - 12*d + 18*d**2 + 3 + 67*d + 2. Let v = 128 - 89. Calculate the remainder when p(-16) is divided by v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -95 - -100. Suppose -12*a + 7*a = -b*y - 145, -2*a + 4*y + 68 = 0. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4348*v + 1993*v + 2046*v + 99*v**3.\nAnswer: 99*v**3 - 309*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7055*m**3 - 754*m**2 - 974*m - 2445?\nAnswer: -42330*m - 1508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 16 + 0*t - 4*t + 32.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1863313, 1863313, 1863321, 1863343, 1863385?\n\"Answer: x**3 - 2*x**2 - x + 1863315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 10:56 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 274 - 270. Which is the biggest value? (a) l (b) -0.3 (c) -0.5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -20*o**3 + 30141744*o**2 + 54255212*o - 12056712 = 0.\nAnswer: -2, 1\/5, 1507089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50 or -8?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*t - 44269 = -44077 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 69, 2 in decreasing order.\nAnswer: 69, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 122 + -127. Let h = -22.11 - -22. Let l = 4.7 + -3.7. What is the biggest value in l, x, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 353 + -342 + (-1 - 3) + 8\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 4*l + 51, -s - 3*l = -5 - 14. Let k(n) = -n**2 + 7*n + 2. Let c be k(s). Solve 0 = 5*w - 3*m - 13, -w + c*w - 5 = 3*m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2092 divided by 2.\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 535873 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 21*w**3 + 18*w**3 + 0*w.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*v + 4*v. Let f(k) be the first derivative of 4\/3*k**6 + k**2 + 15\/2*k**4 + 26\/5*k**5 + v*k + 3 + 14\/3*k**3. Factor f(q).\nAnswer: 2*q*(q + 1)**3*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.98 + 0.02. Let q = 42484 - 42484.3. What is the biggest value in s, q, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + sqrt(19)*-4) + -3.\nAnswer: -4*sqrt(19) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 22583.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -530 - -1.7?\nAnswer: -528.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/(-10) + -19 + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2. Suppose 2*i + o - 7 = 0, 2*o = -i - o - 4. Suppose l = i*f - 4*f - 2*h - 4, 2*h = 0. Calculate the remainder when 11 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8409754.8 microseconds in days?\nAnswer: 0.000097335125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 844 + 438. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1518831?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 b when three letters picked without replacement from {g: 2, b: 2, i: 6, o: 3}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*t - 61*t - 1352282 - 911768. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*i - 55 = 0. Suppose i*j - 15*j = -2004. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 3*q - 4. Suppose 3*t = 2*t + 6. Let r be k(t). Let l be (-6)\/15 + r\/(-5). Solve 0 = -l*j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -76*x - 114. What is q(-2)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 130 times -0.0809\nAnswer: -10.517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 6 = -1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/((-9)\/(-102)) - -3) + -2. What is the greatest common factor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 0 + 2*b**2 - 2*b + 1\/6*b**3. Let y be g(0). What is the highest common divisor of 10 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 15*t**2 + 5*t + 24. Let s(n) = -n**3 + 2*n**2 - 2*n - 9. Let c be s(0). What are the prime factors of o(c)?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*o - 73*o + 18585 + 24496 - 1692 = 1478*a, -3*o + 99 = 3*a for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**2\/3 - 42026*o - 1324638507 = 0.\nAnswer: -63039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-180)*-261*18\/6*-2?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 + 50 - 50. Let a(b) = 2*b - 5. What is m(a(y))?\nAnswer: 8*y**2 - 40*y + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -14*t + 27. Let j be (-14)\/((-12)\/(72\/30)). Factor -4\/5 + 18\/5*m - j*m**t.\nAnswer: -2*(m - 1)*(7*m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 16*n**3 + 1. Let d be l(1). Suppose -1 = 2*o - d. Suppose 2*j = z + o, 3*z - 4*z = -5*j + 17. Solve -w + 5 = 4*i, -3 - 12 = -j*i - 3*w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27181 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 12:50 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20955932 to the power of 1\/3, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -4. Let i = 4\/13793 - 1310599\/910338. Let a = -2\/33 + i. What is the third biggest value in 0.3, t, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(152) + -5*sqrt(152)*2))\/((-1*sqrt(88) - sqrt(88))\/sqrt(11) + sqrt(8) - sqrt(8) - (sqrt(8) + sqrt(8) + sqrt(24)\/(sqrt(6)\/sqrt(2))))*6.\nAnswer: -324*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 1 + (0 - 1 + 3)*(-2 + 10 + 37))*(-29*j**2 - 41*j**2 + 19*j**2) to the form f + i*j + y*j**2 and give y.\nAnswer: -4692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 881\/893 + 3 + -4. Let i = 124055\/5358 - h. What is the common denominator of i and -91\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - u + 2. What is k(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41042*k**2*m**4 + 79*k**2*m**2 - 80935*k**2 - 140 wrt m?\nAnswer: -164168*k**2*m**3 + 158*k**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 23*y**2 + 2*y - 200. Calculate the smallest common multiple of 32 and f(-22).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**3 - 48*b**2 - 2*b - 29. Let g be t(-16). Let x = -5857\/2 - -2991. Let -15\/2*l**2 - x + 75\/2*l + 1\/2*l**g = 0. Calculate l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*k**4 - 16854*k**3 - 2*k**2 - 99331*k + 1 wrt k.\nAnswer: 84*k**2 - 101124*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a week in minutes?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y - j = -12, -5*y + 34 = -3*j. Suppose 0*i + 5*i = 3*m + 10, -2*i + y*m = -4. Put 0, i, 7, -3 in descending order.\nAnswer: 7, i, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 6*k**2 + 6*k + 5. Let a be g(7). Let u be 19\/3 - a\/3. Let z be 96\/7 - 2\/(-7). What is the greatest common factor of u and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*s - 39 - 12, -j = 4*s + 3. Solve -46 = -j*q - 19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-2 - (-2 - 1))) + -9 + 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 1. Let s(y) = 71 + 5*y**2 - 134 + 66. What is s(z) + 2*w(z)?\nAnswer: 7*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 271944973 to the power of 1\/3, to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75642 and 67326.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-6*(-4 + (sqrt(192) - (sqrt(192) + sqrt(192) + 1 + sqrt(192))) + sqrt(192)) - (-1*sqrt(192) + 5 + -4)) + 3)**2.\nAnswer: 3584*sqrt(3) + 10432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -36. Which is the nearest to 0? (a) u (b) -5\/4 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 3450?\nAnswer: 24150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.04 and -77696?\nAnswer: 77695.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -65, -91, -117?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-176)\/(-96))\/(-11)*(-16)\/(-6).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*f = -0*f + 9, -5 = -m - 2*f. Which is smaller: m or -57\/26?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from gyjjnymjjjjm?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/180)\/(1\/(-4))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**6\/360 - g**5\/10 + 7*g**4\/12 - 17*g**3\/2 + 9*g**2 + 2*g. Let m(n) be the first derivative of k(n). What is m(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 1. Let n(j) = -j**2 - 6*j + 47. Calculate -6*i(g) + n(g).\nAnswer: -g**2 + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -600 (b) -12.18 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/s**(5\/2))\/s)\/((((s**2*s)\/s)\/s)\/s)*s**(-1\/14)\/((s**6\/s)\/s) assuming s is positive.\nAnswer: s**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-556)\/(-3) - 0)\/(156\/5382)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 - (-7860)\/100. What is the greatest common divisor of 3160 and l?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8522.25992 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 402, -1, 2, 5, 3, -4, -5 in descending order.\nAnswer: 402, 5, 3, 2, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4670 - -4692. Solve -g*v + 28 = -15*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*u + 7, -18 = -5*y - 5*u + 12. Suppose 10*s - 30 = y*s. Suppose a = -5*o + 30, 3*o + 16 + s = a. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33093, 66149, 99179, 132183, 165161, 198113?\nAnswer: 231039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 807 - 806.99187. Round s to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 590.968km in micrometers?\nAnswer: 590968000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**6\/40 + 17*f**5\/20 + 9*f**4\/4 - 6*f**2 - 2. Solve r(x) = 0.\nAnswer: -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 187 + 10. Suppose 2*a - 275 = g. Calculate the remainder when a is divided by 68.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150 - -147 - (1 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.06108 - 0.06108. Which is the nearest to 0.3? (a) 2\/9 (b) v (c) 8\/3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 3*t**2 + t + 13. Let m = -83 - -83. Suppose 3*o - 3*z - 11 = 2*o, m = -2*o - 2*z - 18. Let d be j(o). Solve d = -p - 4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 242 and 16?\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7*l + 8. Let s be n(-7). Let o = -25 - s. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ilew when four letters picked without replacement from ewrcwilr.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(2) + 1)*-3 + (sqrt(16)\/sqrt(2))\/sqrt(4))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4 (b) 0.01 (c) -0.04 (d) 19 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/70)\/(42\/7)*(-30)\/(-204).\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(832) + -2 + sqrt(832))*-4 + sqrt(832)*1 + -2) + 1)**2.\nAnswer: -17360*sqrt(13) + 1020161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 324*q**3 + 474*q**2 + 154*q + 16. Let a(x) = x**2 - x. Let k(z) = 6*a(z) - w(z). Factor k(p).\nAnswer: -4*(p + 1)*(9*p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147\/(-6)*-25*(-66)\/5775.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -46, -2, 4 in ascending order.\nAnswer: -46, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(((l\/((l*l\/(l*l**(1\/4)))\/l*l))\/l)\/l)*l)\/(l\/(l*l*l\/((((l\/l**(3\/2))\/l)\/l)\/l*l)*l)))**15 assuming l is positive.\nAnswer: l**(555\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-15)\/(-6))\/((-12)\/72))\/(6\/(-164)). Put -6, -2, m in decreasing order.\nAnswer: m, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -137*l + 133*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-12)\/(2 + -4). Suppose 6973*r + 38 = 6992*r. Which is smaller: o or r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1548 is divided by 193.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q. Let s(x) = 11*x**2 - 7. Suppose 21*p - 16*p = 35. Let g(j) = -6*j**2 + 4. Let c(h) = p*g(h) + 4*s(h). Give l(c(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 3*v + w + w, -106 = -5*v - 3*w. Let b = v - 33. Let o(u) = u**3 + 13*u**2 + 5*u + 7. Is o(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/42 - (-6)\/(-21). Let m = 286 - 287. Let t = -268 + 263. Which is the second smallest value? (a) m (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 790 + 8*d**3 + 3*d**3 - 1580 + 790.\nAnswer: 11*d**3 + 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -335300 divided by -16765.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4880 > -4757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/12264 and 111\/22484.\nAnswer: 134904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4537*m**5 - 2*m**4 - 2 + 138*m**5 + 2 - 13803*m + 2421*m**5 wrt m?\nAnswer: -39560*m**3 - 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((sqrt(187) - 6*1*sqrt(187)) + sqrt(187))*2)\/(-5*sqrt(11)*1 + sqrt(33)\/(-3*sqrt(3) + sqrt(3))))**2.\nAnswer: 108800\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 256 = 4*n, n + 1 + 0 = 0. Let v = d - 59. Solve 2*r - v - 2 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5263.5 - 5263. Sort 3\/5, m, -2.28, -0.2, 3.\nAnswer: -2.28, -0.2, m, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 0*x**5 + 3 + 0*x**4 - 2\/3*x**6 + 0*x**3 - 3\/2*x**2 + 0*x. Find the second derivative of n(i) wrt i.\nAnswer: -80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 - 6.47731984093.\nAnswer: -44.47731984093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11355 - 3206. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -43, -152, -331, -580, -899, -1288, -1747?\n\"Answer: -35*n**2 - 4*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 4*t = 38, -3*n = -0*t + 3*t - 24 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 826*x**3 - 318*x**3 - 1045*x**3.\nAnswer: -537*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 424\/318*58362\/(-568)?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.04 + 18. Let o = f - 2.96. Let v = o - 2. Which is the biggest value? (a) -4 (b) v (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2 - 13. Let v = 17 - u. What is the highest common factor of 4 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + (4 - 0) - 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.1 and -2?\nAnswer: -8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2 + (-6)\/(-4). Let s be (g + 2)*18\/8. Factor -2*w**2 - 148*w + s + w**2 + 156*w.\nAnswer: -(w - 9)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 10 + -3 + (5 - 6) + 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2c5 (base 14) to base 5\nAnswer: -4230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 38 = 2*x, 5*x + 4*o + 0*o = 101. Let t be (-2)\/15 + -19 + (-7964)\/(-330). Solve -1 = -5*g - t*q + 4, -g + x = -3*q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 7) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1644 and 1599?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 - 64*h**2 + 17*h**2)*(-3 - 2 + 0 + (-4 + 0 + 5)*(-4 + 4 - 2)).\nAnswer: 350*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -376, -1427, -3176, -5623?\n\"Answer: -349*f**2 - 4*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 1 = 5*v + 36, 2*v - 22 = 2*w. Is 616\/40 + 4\/w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-330)\/11*(3 + 42\/(-10)). Let y be (-1)\/(-2)*(-216)\/k. Suppose 0 = -5*o - 10, o = 3*r - 2*o - 21. Sort y, 0, -2, r in decreasing order.\nAnswer: r, 0, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-5 - -1 - (94 - 59))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/15*46095\/439\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, -1, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (8 - 2) - (1 - 13 - -6 - -46)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1402961.\nAnswer: 7, 43, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**2 + 7*g**2 - 3 + 3. Suppose -4*o + 3*p + 24 = 0, 4*o - 5*p = 19 + 13. Let v(s) = o*s + s - 2*s. Determine v(y(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0 (b) -3\/7 (c) 0.6 (d) 0.352 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8997 divided by -5518\nAnswer: 8997\/5518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (687\/297 - (-38)\/(-418))\/((-26)\/(-9))\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2 + 46*u - 831. Is 12 a factor of p(-43)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46805 is divided by 79?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 103*a - 719. Let g be n(7). Solve 0 = -r + 1, g*f - 5*r = -0*r - 13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*c**2 + 129*c**2 + c**3 - 3*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y**2. Let p(i) = -26*i. Determine p(h(s)).\nAnswer: -104*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52318 is divided by 163?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 0.03.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.027, 1, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 292392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1838*0.056077\nAnswer: -103.069526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1431342 divided by -5.\nAnswer: 1431342\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(125)*-3)**2.\nAnswer: 90*sqrt(5) + 1134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25470 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 403 + -361. What is the remainder when t is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, c: 3, w: 1, y: 3}. Give prob of picking 1 c and 3 r.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**3 - c**2 + 4. What is t(3)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 110 - 54. Solve -22*v + 15*v + r = 0 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 6. Calculate l(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 11 - 38)*(4*p**5 - 101*p**4 - 4 + 101*p**4 + p**3).\nAnswer: -304*p**5 - 76*p**3 + 304","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109337224.\nAnswer: 2, 13667153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2\/3*k + 4\/9 + 2\/9*k**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 371*q**2 - 15510*q + 284. What is h(48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/187*41\/82.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-44) - (-35 + (-4521)\/(-132))\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 20806036?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14160 + 1222?\nAnswer: -12635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*j, 57401*j = -5*r + 57397*j - 48 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = r + 4*w, -r + 3*w + 3 + 4 = 0. Let m be (0 + (-1)\/(-2))*r. Let l be 6\/33 + (-141)\/(-11). Solve -l = -m*j + 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -560079 and -560080 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -3*t - 12, t = -2*v - 0*v + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 12*n - 16. Let l be f(13). Let m(q) = q**2 + q - 1. Let a be (-1 - -1)*9\/(-18). Let u be m(a). Sort l, u, -1\/3.\nAnswer: l, u, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222110 + 10?\nAnswer: 222120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 4*u + 12 = 0, 5*u + 5 = 79*y - 79*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -491.377 - -4.377. Which is the closest to 1? (a) -0.1 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -835*w**2 - 62 - 61 + 177 + 839*w**2 - 59.\nAnswer: 4*w**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 22*w + 679 = -17*w, 4*r + w = 683. What is the highest common factor of 95 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 721223.\nAnswer: 721223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -30 + 10 + 25 - 24.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p*t*u**2*y**2 - 2*p*t - 140*p*u - 117*t*u**2*y - 2*t*u**2 - 193033*t*y**2 wrt y.\nAnswer: 2*p*t*u**2 - 386066*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkaiazflzfkf. Give prob of picking 1 f and 1 k.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*j = -10*j + 3014 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-7\/5))*j**(-1\/8))\/(j\/j**(-2\/7))**(-7))**10 assuming j is positive.\nAnswer: j**(411\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 8*m**2 + 2*m. Let a be o(-7). Calculate the common denominator of (-2 - a)\/(-10 - 0) and -87\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (12 + -12 - 8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((1\/3)\/(10\/60))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -3\/13, -2\/15, 0 in decreasing order.\nAnswer: 1\/4, 0, -2\/15, -3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3712 = -71*v - 5629 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -111 (b) -16 (c) 0.6 (d) -1 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = -5*r. Let i(l) be the first derivative of 52*l**3 - l + 8. Is i(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -11227.014.\nAnswer: 44908.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*d**2*k*n + 300*d**2*k + 326*d*k*n + 5*d*k + d wrt n.\nAnswer: -6*d**2*k + 326*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(117)\/sqrt(9)*3 + sqrt(130)\/((sqrt(80)*-1)\/sqrt(8)).\nAnswer: -1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -299548062 divided by -23067\nAnswer: 12986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 + 17*g + 122. Determine y(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 6 - 3*(-2)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*y - 15. Suppose 2*v = 88 + y. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3498\/7579 - 3729\/1573?\nAnswer: -21\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or -67424\/59?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3574.18 to the nearest 10.\nAnswer: -3570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1\/21)\/(230\/690)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i - 30*i**2 - 32*i + 10*i + 14*i.\nAnswer: -30*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 16*f**2 + 374*f + 76. What is g(-23)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -1766?\nAnswer: 1769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 304841 (base 10) to base 2\nAnswer: 1001010011011001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*i - 2*i - 14 = 0, 5*c = 3*i + 18. Suppose -v - v = -6. Suppose 0 = -c*n - o + 2 + v, 3*o + 3 = -3*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 167*h*r*t + h*t**3 + h*t + 8*h + 2*r*t**3 + 14*t**2 + 29*t wrt h?\nAnswer: 167*r*t + t**3 + t + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxpccvfoocxocxo. Give prob of sequence pvo.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292852 is divided by 169?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -7, 146 in ascending order.\nAnswer: -7, -1, 4, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.88 + -109460.7923602?\nAnswer: -109462.6723602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.94 - 0.06. Let g = 1.9 + k. Let l = g - 0.4. Sort -4, l, 0.3 in increasing order.\nAnswer: -4, l, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -6*g - 258. What is the units digit of (g\/(-3))\/((-8)\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.174 - 0.173999256. What is j rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/2)*d**(-2\/11)*d**(4\/7)*d*d**(3\/14))**(-4\/9))**(-14\/9) assuming d is positive.\nAnswer: d**(1912\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 517239413 to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 256 and 4?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.0473846 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -5*g**7\/84 - 43*g**6\/60 + 139*g**5\/20 - 13*g**4\/3 - 135*g - 3. Determine x, given that m(x) = 0.\nAnswer: -13, 0, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.655852us to seconds.\nAnswer: 0.000002655852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2. Let h be (-111)\/185 - 5\/((-50)\/56). Let y(b) = 5*b**2 - 38*b - 6. Let d(c) = 9*c**2 - 77*c - 10. Let m(t) = h*y(t) - 3*d(t). Determine m(g(n)).\nAnswer: -2*n**4 + 41*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.073 to one dp.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -42, -50, -58?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 5 - 4. Let o be (0 - u)*26\/2. Suppose -8 = -3*c + o. Calculate the lowest common multiple of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1303000 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*a + 41 + 243. What is the biggest value in 6\/11, a, 0.2?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7228934735.\nAnswer: 5, 11, 17, 53, 8581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 64082 divided by -2\nAnswer: -32041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**2 - 243*p + 240 = 0?\nAnswer: 1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g + 1. Suppose 9*w - 2*n = 10*w - 12, 5*n - 24 = -w. Give m(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7238, -7235, -7226, -7205, -7166?\nAnswer: -7103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 1:54 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 - 439*v - 288. What is w(140)?\nAnswer: -2948","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*r - 12 = 0. Suppose 485 = r*b + b - 2*v, v - 185 = -2*b. Suppose 5*m + b = 10*m. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 468 and 4336332?\nAnswer: 13008996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2093571\/2710 - 48\/1355. Let b = q - 10901\/14. Find the common denominator of (-69)\/(-8) - (-1)\/4 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 9*w**2 + 7*w + 15. Let y(f) = -5*f**2 - 4*f - 7. Suppose -3*z - 142 = 4*c - 158, 0 = -3*z. Determine c*i(o) + 7*y(o).\nAnswer: o**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -768*x. Let h(q) = -7*q + 11. Give h(n(w)).\nAnswer: 5376*w + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 11250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 divided by -1?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 3) + -22 + 9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/14 (b) -0.224 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 2*a**2 - a - 7. Let s be g(-3). Let i = s - -20. Let b = 13 - i. Is b at least -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229566.\nAnswer: 2, 3, 38261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3434069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1248 and 88?\nAnswer: 13728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4302 by -650.\nAnswer: 2151\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1716130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 88095324 divided by 2?\nAnswer: 44047662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - j + 30 = 4*j, 21 = 5*w - 4*j. Suppose 0 = w*i - 5*f - 35, 3*f = -5*i + 3*i + 14. Let l be 0\/(2\/1*-1). Solve 2*y + 2 - i = -a, 3*y - 12 = l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 20*h + 12. Let t be m(6). Suppose 0*y - t = -6*y. What is the least common multiple of 16 and y?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a day in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 557269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4650 divided by 25\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - ((-12)\/(-3))\/2. Let a = f - -8. Let j be (-2)\/8 + 27\/a. Put -1, -3, j in ascending order.\nAnswer: -3, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*o**5 + 78941908*o**3 + o**2 - 19870542*o - 11 wrt o.\nAnswer: -360*o**2 + 473651448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - (-10)\/2)*2. Let z(u) = u**3 + 2*u**2 - u. Let k be z(-2). Suppose -56*x + 43*x = -39. Sort m, x, k.\nAnswer: k, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 5:46 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x - 2. Let c(g) be the third derivative of -5*g**4\/6 + 3*g**3\/2 + 2*g**2. Let f(j) = 2*c(j) + 11*v(j). Is f(4) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 88568\/1267 or 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 2 = 13*q. Suppose 4*l - 378 = q*l. Let c be 1\/(-1) - 88\/(-4). Calculate the highest common factor of c and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y - 9. Let a be w(5). Let g be (15\/(-30))\/(a\/(-112)). Calculate the highest common factor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-127)\/(44196\/(-58))*-168\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 10, g: 2}. What is prob of sequence zz?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 9:19 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 188.299371 to zero dps.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 20 = 2*l. Let o = l + -7. Suppose -3*h + 36 = o*s, -3*s - s - 12 = -h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 129. Give r(0).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 14\/19*a**5 + 0 + 22\/19*a**3 + 0*a + 32\/19*a**4 + 4\/19*a**2 = 0?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 33\/(-77) - (2 - (-9)\/(-3)). Let c = 2 - -1. Suppose 5 = c*j + 2. What is the nearest to j in t, -4, -2\/17?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -926259.52 rounded to the nearest 10000?\nAnswer: -930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2043415 (base 6) to base 12\nAnswer: 4956b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzxxxxzxxxxxx. What is prob of sequence xz?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1486.459 to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -0.12 (b) 0.016 (c) -0.4 (d) 265\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -34 + -52b6?\nAnswer: -52ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33220.46 millennia in centuries?\nAnswer: 332204.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40013 or 40914?\nAnswer: 40013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8004528 and -0.5?\nAnswer: 4002264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 996 and 168781330?\nAnswer: 1012687980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-32)\/24)\/((-14)\/(-3)). Which is the third smallest value? (a) 2 (b) z (c) -0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -4*a - 27. Let d = a - -26. Let t(p) = -15*p - 4. Calculate the remainder when t(-3) is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.633743 rounded to one decimal place?\nAnswer: -22.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7379*i**2 + 13*i + 21 + 7380*i**2 - 21.\nAnswer: i**2 + 13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/406 and 25\/2?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 + 2*k - 4. Let f be j(-8). Suppose 8*i = 4*i + f. What is the greatest common factor of i and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(1\/6)*g\/g**(3\/7)*(g\/(g**(-2\/5)\/g))**(-5\/8) assuming g is positive.\nAnswer: g**(5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6761, 6783, 6819, 6869, 6933, 7011, 7103?\nAnswer: 7209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3981 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-8 + 0 + -4)) + (-25 - -25).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 + 504 = 52*d - 500 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-15) - (-54)\/5*1. Differentiate -11 - 29*o + z + 16 with respect to o.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 122120212022?\nAnswer: -122120212110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 72\/(-4)*(-6)\/9. Suppose 5 = m*k - 7*k. Suppose -2*b - 2*s - k = -s, 4*b + 5 = -s. Put 5, -3, b in descending order.\nAnswer: 5, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6 = -3. What is the second smallest value in -0.4, -0.2, -0.3, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0434 + 0.9566. Which is the closest to -1? (a) 2 (b) u (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78647 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 h when four letters picked without replacement from {v: 2, h: 6, l: 4, f: 6}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5 = -23. Let t be (-3*(-6)\/i)\/(-3). Let p = 1157 + -1162. What is the third biggest value in p, t, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3483*l - 20275 + 20275 - 15191*l + 3*l - 3*l - l + (1 - 3 + 4)*(-l + 3*l - 3*l) in the form g + o*l and give o.\nAnswer: -18677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + i**2 + i + 19. Let k(w) = w**2 + 0*w - 5 - 4*w - 2*w**2 - 3*w. Calculate the remainder when f(0) is divided by k(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81531 and 5517.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 44 + 2 - (86 + 32).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 5, 4594484, 4 in ascending order.\nAnswer: -4, 0, 4, 5, 4594484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2938550191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-4)*(-5)\/10*1*(-42)\/(-441).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1765 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/425881 - -31941067\/851762. Factor 5\/2*t**2 - u + 5*t.\nAnswer: 5*(t - 3)*(t + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 8*o + 76. Let b be g(-8). Suppose -3*h - 17 = -4*v, 8 = -2*v - b*h + 8*h. Suppose 0 + 2\/5*f - 1\/5*f**v = 0. What is f?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-7))\/(73\/(-33726)*-374).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4178709666 a multiple of 267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -4, 0.3, -5, 44, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 21 - 67. Let n = r + -44. Solve 3*q - 5*m + 3 + 8 = n, 4*m = -q + 19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.72 take away 384.8?\nAnswer: -384.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(117\/(-18)))\/(4\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4480057.52 - -4649426.5258. Let i = 169383 - u. Let m = 14 - i. What is m rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/15)\/((-2)\/(-522)). Let h be 20000\/30*l*1. What is h rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((260\/50)\/(-26))\/(2\/26)\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1963929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -44. Is 7167\/6 + t\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/528 and 97\/660.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/19 (b) -2\/7 (c) -994 (d) 72 (e) -5 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(441)\/(sqrt(35)\/sqrt(5)) + sqrt(63))\/sqrt(9) + 4*(sqrt(7) - (sqrt(112) + sqrt(112)*-2 - sqrt(112))).\nAnswer: 38*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10397 - 4888. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -70366, -70369, -70374, -70381, -70390, -70401?\n\"Answer: -q**2 - 70365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4950)\/(-33))\/15*4*(-2)\/(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2dd252 (base 16) in base 10?\nAnswer: -3002962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/23 in 1, 0.0865, 16\/3?\nAnswer: 0.0865","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2. Let l(o) = -5*o**2 + 17*o**2 + 30*o**2. Calculate l(s(h)).\nAnswer: 42*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -306, -4\/7, 0, 1\/175, -3.\nAnswer: -306, -3, -4\/7, 0, 1\/175, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 2*q - 8, -2*m - 3*q + 1 + 6 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23.46 - -22.6592. Let q = 5 - 4.2. Let b = d + q. What is b rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4691*v**2. Let g(i) be the third derivative of i**4\/8 + 5583*i**2. Give g(b(q)).\nAnswer: 14073*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 2\/3*n**6 + 110*n - 25\/6*n**4 + 11\/4*n**5 - 60*n**2 - 110\/3*n**3 + 0. Determine k so that a(k) = 0.\nAnswer: -2, -3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/18 and 47\/19630617.\nAnswer: 117783702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -34*l - 2. What are the prime factors of d(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -887*y**2 - 15*y - 10. Let a(r) = 887*r**2 + 18*r + 12. What is -5*a(i) - 6*n(i)?\nAnswer: 887*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-9) - 141\/27. Let k be (-6)\/(-4)*(-20)\/(-15). Let w(g) = 3 - k + g**3 + 5*g**2 + g - 3. Calculate w(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**2\/2 + f - 1. Let o(y) = 2*y + 4. Let h(d) = 4*b(d) - o(d). Let r(a) = -3*a**2. Give h(r(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -10. Put 2\/9, x, 0.3, -0.02 in decreasing order.\nAnswer: x, 0.3, 2\/9, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000018644 to 6 decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.614303 rounded to 2 dps?\nAnswer: -5.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3886 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-11\/6))**(1\/6)\/((((n**(-18)*n)\/n)\/n*n)\/n**(1\/4)) assuming n is positive.\nAnswer: n**(323\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.374 + -206.626. Let p = s + 211. What is the nearest to -1 in p, -8.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.4 or -69.7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 12*w + 9. List the prime factors of z(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 119*v - 1. Let w be g(3). Suppose -15*c + 7445 - 7505 = 0. What are the prime factors of c\/(4 + (-1432)\/w)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 3*l - 5. Suppose 0*c = 4*c - 28. Calculate the lowest common multiple of c and w(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1217447 by 110677.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(5 + -6) - 134\/(-14) and 7\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197724423 to the nearest integer?\nAnswer: 14061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 15 = -s, 16*s - 17*s + j + 3 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 879603 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 15 = 0, -5*t + 5*x + 30 = -85. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-226)\/5424 + (-273)\/(-72)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -688.8632 to the nearest integer.\nAnswer: -689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 3 + 5 + -5 + -7?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055 a factor of 78600968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 9:25 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1\/4, 10, 5\/13, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 3 + 3)*(-3*a + 2*a + 0*a) + 3*a**2 + 4*a**2 - 5*a**2 + (281*a - 204*a + 260*a)*(22*a + 19*a - 52*a).\nAnswer: -3706*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-50))\/((-585)\/650)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 6:17 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2097.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1409\/7 - 610\/3. Calculate the common denominator of d and -35\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1304 divided by 1304\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 3 (c) -0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + f = 13, o - f - 4 - 1 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2. Let j(n) = n + 31. What is 2*j(d) + 6*x(d)?\nAnswer: 2*d + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 - 4*x + 2. Calculate m(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52587155.\nAnswer: 5, 19, 553549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/27)\/(4\/36). Let n = -7 - -10. Suppose 0 = -5*d - 2*q - 3*q + 30, 14 = 3*d + 5*q. Solve 4 = 5*y - y + p*f, 4*y - d = -n*f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghggggggghggghg. Give prob of picking 2 h and 2 g.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7178\/22451 - -48\/157. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a - 1. Determine m(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jni when three letters picked without replacement from ikihhjiniihhhh.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*t - 3316 = -1285 + 1693 for t.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -10*t - 6. Let h(l) = -2*l**2. Calculate h(y(v)).\nAnswer: -200*v**2 - 240*v - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywy when three letters picked without replacement from ywwywy?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3369859?\nAnswer: 17, 19, 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzvvzvzzzvv. Give prob of sequence vzzz.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -43, -47, -53, -61, -71?\n\"Answer: -k**2 - k - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/28*-4*270\/162?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 1893 = -3*o, 0 = 3*o + 2*l - 3*l + 1897. Let x be 7924\/(-18) + 12\/54. Let q = x - o. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*c + 17*a + 46 = -52*c - 22, 0 = c - 4*a - 16 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -706, -1223, -1746, -2275, -2810?\nAnswer: -3351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15.6 (b) 2\/15 (c) -0.1 (d) -0.4 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**5\/22 + 7*p**4\/11 - 21*p**3\/11 - 54*p**2\/11 + 903*p. What is f in z(f) = 0?\nAnswer: -3\/5, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -0.12 (c) 12\/7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.3, -2\/29, 1.6 in decreasing order.\nAnswer: 1.6, 0.3, -2\/29, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4)*g**(1\/2))\/(g**(1\/3)*g*g*g**4))**(2\/31) assuming g is positive.\nAnswer: g**(-59\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3905 divided by 11?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (2 - (-14 + (-1 - -5))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 291 = -3*k, -4*o = -k - 60 - 237. Does 19 divide 7\/((-63)\/(-6))*o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14586\/858)\/(((-15)\/(-12))\/(1\/(-8)*-2))?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 - d. Let h be i(-2). Let l be 27\/(-45) - (-36)\/h. Let t(f) = 2*f - 4. Is 2 a factor of t(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 0*s + 23\/60*s**4 + 7 + 1\/100*s**6 + 8\/75*s**5 - 10*s**2 + 2\/5*s**3. Let m(h) = 0. Calculate h.\nAnswer: -3, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 122 = 6*n. Let l = n + -13. What is the lowest common multiple of 20 and l?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 50*g + 503. What is o(36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 144*h**6 + 42*h**5 + 13*h**4 - 53070*h**2 - 51*h.\nAnswer: 17280*h**3 + 2520*h**2 + 312*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 8 + 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 48551*u - 2233335. What is d(46)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-4*sqrt(275))**2.\nAnswer: 158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92 + -217 + 69 + -19?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -64*j + 378. Determine h(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 997, 1\/4, -1\/4.\nAnswer: -4\/3, -1\/4, 1\/4, 997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(972) - sqrt(12))\/(2*sqrt(16)).\nAnswer: 17*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 9*m**2 + 16*m + 2. Let n be w(7). Let f(s) = s**3 - 17*s**2 + 15*s + 10. Let z be f(n). Is (-20 - 0)*(1 - z\/(-2)) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -802 less than 1854?\nAnswer: 2656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -13 (c) 2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 326, -294, 0 in ascending order.\nAnswer: -294, -1, 0, 326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*c**5 + 15965*c**2 + 474015*c wrt c?\nAnswer: -680*c**3 + 31930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 4. Let q = c - 7. Let y(b) = b + 3. What is the least common multiple of y(5) and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7540 by 580.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/38)\/(f\/(f*f\/(f\/f**(-1\/4))))*(f*f**(1\/9)*f*f*f)\/f**(-6) assuming f is positive.\nAnswer: f**(6763\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2. Let w(h) = 10 - 10 + 16*h**2. Give w(l(j)).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4260, 1, 4.\nAnswer: -4260, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) + (-5)\/(-12). Suppose 3*h - 3*g = -54, 2*h + g = -15 - 12. Which is the second smallest value? (a) -0.2 (b) -2\/11 (c) y (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 + 3*k**3 - 3*k**3)*((4 - 5 + 0)*(3*k + 1 - 1) - 9*k - 3*k - k).\nAnswer: 32*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/25)\/((-4)\/10). Let b(a) be the second derivative of 0*a**2 + 0*a**4 - q*a**5 + 1\/6*a**3 - a + 0. What is the second derivative of b(u) wrt u?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -3. Let m = 34243\/3 + -11414. Which is the third smallest value? (a) q (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2 + 3\/(-2) - (-2230)\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7798 by -7.\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 31. Solve 2*z = u - 2*z - 12, 2*u + f = -5*z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (0 + 5) - 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - o + 2*o**4 + o**4 - 4*o**4 + 2*o**4 + (-3*o + 3*o - o)*(4*o**3 - 9*o**3 - 24*o**3) + 8*o**2 - 8*o**2 - 3*o**4.\nAnswer: 27*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102.9 + -12.9. Let i = -11132 + 11222.59. Let h = i - j. What is h rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**6\/30 - m**4\/24 - m**3\/6 + 5*m**2. Let d be n(-1). Let b = d + 9. What is the third biggest value in 1\/2, b, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 45 = -6*s. Suppose -3*m = -4*f + 4 + 7, 0 = -s*m - 2*f + 19. Suppose -4140 = -t - m*t + 4*w, -t = 3*w - 1019. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 1 = 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 181283918 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 313073062 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(539) + sqrt(539)*1 + sqrt(539)))**2.\nAnswer: 43659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/4 (b) 56 (c) 2\/9 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k**3 - 2*k**2 + 3*k + 3. Let j be c(-2). Let x be 4\/(-2)*(11\/(-2) + 3). Calculate the highest common divisor of x and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 - 2*k + 2*k)*(-4 + 5 + 2)*(k - 3*k + k)*(-9*k - 20*k - 11*k)*(-1 + 2 - 2).\nAnswer: -360*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-4) - 1*-2. Solve -s = 2, 2*j + 6 = -0*s - x*s for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 29304 = -6*k, -4*n = 2*k + n - 9794. Does 43 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*v + 33 - 95, -3*v = -5*r - 58. What is the highest common factor of v and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-85)\/(-5) + -78 + 74.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-8)*((-3 - 1) + 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 15*d**2 + 2*d - 25. Let a be v(15). What is the greatest common divisor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/30581096 and -43\/2473471.\nAnswer: 336392056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -144*k**2 + 6*k + 7. Let g be l(-2). Does 12 divide (-7)\/((-21)\/(-12)) - g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6060 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15.6 from 13.947360752.\nAnswer: 29.547360752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133334999?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*g**2 - 81*g**2 - 59*g**2 + 335*g**2 - 39*g**2 - 46*g**2.\nAnswer: 52*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8514436987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 0.5. Let y = 5 - 2. What is the nearest to 0.1 in u, y, -2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3286*w - 2394?\nAnswer: -3286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qk when two letters picked without replacement from {k: 2, x: 5, h: 1, q: 2, i: 6, s: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 1. Let k(s) = -7*s + 5. Let t be ((-32)\/24)\/((-6)\/9). Suppose -3*r = -9*p + 7*p - 11, 0 = -t*r - 5*p + 20. Give r*m(x) - k(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 53*y - 4. Let j be u(1). Suppose j = n + 6*n. Calculate the greatest common factor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.04944 and 352.59.\nAnswer: 356.63944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38298 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -22*z - 4. Let v be a(-4). Suppose 2*t - v = -4*s, 4*s + 125 = 4*t - 67. Suppose 96 = 4*m - 4*j, 4*j = 2*m - 0*m - t. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 2*(-1)\/(-1). What is the second derivative of -r**5 - r - 3*r**4 + 0*r**g + 3*r**4 wrt r?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-7)\/(-49)*1*(-60)\/(-945).\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-5 + -1)) + 7 + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*a - 4, g - 2*g + 3 = -3*a. Suppose -p + 23 = 2*v, v = -g*v - 3*p + 14. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.4061, -2, 0.04 in descending order.\nAnswer: 3.4061, 0.04, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18283 + 149087 = 1234*z for z.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19*11\/836*52?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2. Let o(y) = -68428*y. Give z(o(u)).\nAnswer: 9364782368*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-100 + 99)\/((-3)\/229029) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 21*z**2 - 25*z - 58. Let a be k(-22). Solve 2 - a = 2*r + 2*b, 5*b + 15 = 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 1 + 9, 3*k = -5*i + 19. Let h(y) = y**2 - 7*y + 11. Let q be h(i). Let c be 164\/(-564) - q\/(-3). Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*h + 275*h + 2*y = 12, -2*h - 8*y + 20 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.735746 centuries to millennia.\nAnswer: 0.3735746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/667 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 170937 = 5*h + 48498, 0 = 3*k - h - 183650. List the prime factors of k.\nAnswer: 13, 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54099 > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-2) + (-22)\/220*-433905 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27 + 1544721?\nAnswer: 1544683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*d + 2*w, 3*d - 5*w + 0*w - 15 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 427e (base 16) in base 5?\nAnswer: 1021042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1. Let p(y) = 1. Let x(j) = -4*p(j) - 3*v(j). Let l(r) = -r + 2. Let s(z) = -2*l(z) - 3*x(z). Calculate s(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.17 (b) -3 (c) -2 (d) -4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15986*q + 12002 wrt q.\nAnswer: 15986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n + 60 + 24. Let p(k) = -2*k - 26. Let d be p(n). Factor l + 6*l**3 + 0*l**3 + d*l**4 + 5*l - 14*l.\nAnswer: 2*l*(l - 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8.6 or -7438?\nAnswer: -7438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**3 - 6*v**2 + 15*v - 8 = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 1516116?\nAnswer: 1516116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-192)*(1\/5)\/((-1)\/1)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11002120220012 (base 3) in base 8?\nAnswer: -10233316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/10*(-6 - (-3 + 0)). Suppose -3*q + 4*c = k*c - 2023, 0 = 4*q + c - 2688. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9.871, 2\/501, 0.049 in increasing order.\nAnswer: 2\/501, 0.049, 9.871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 256 + -136. Let v be 4*(318\/66 - (-4)\/22). What is the greatest common divisor of v and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 10*u - 6. Let b be m(-10). Let a be 78\/b*(-1 + 2). Let t = 53 + a. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d - 109. Let q(w) = -2*w. Calculate y(q(g)).\nAnswer: -4*g - 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 6 - 9. Let s(d) be the first derivative of 0*d + 0*d**2 + 3 - 1\/12*d**j. Factor s(n).\nAnswer: -n**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34271 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2 - 2*d - 2. Let q be x(2). Let p be q\/2 + ((-381318)\/(-16))\/7. Let g = p - 3400. What is the common denominator of -40\/11 and g?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.177 rounded to 1 decimal place?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t + 2. Let h(n) be the third derivative of n**8\/5040 + n**5\/30 + 107*n**3\/6 - 51*n**2. Let w(g) be the third derivative of h(g). Calculate w(b(z)).\nAnswer: 144*z**2 + 96*z + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-b**4 + 4*b**4 - 4*b**4) + 0*b - b**4 + 0*b - 216*b**3 - 16*b**4 + 220*b**3 - 22*b**4 + b**4 + 5*b**3 - b**2 - 5*b**3.\nAnswer: -39*b**4 + 4*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n**3 + n**2 - n + 1. Let f be o(1). Suppose -a - a + f = 0. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((j**2 + 2 - 2)*(-j + j + j) - 16523*j**3 + 9411*j**3 - 11825*j**3)*(1 - 1 + 1).\nAnswer: -18936*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -144 + 159. Calculate the remainder when g is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-11)\/s**(8\/7) assuming s is positive.\nAnswer: s**(-85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 87 = s - 2*s, -3*s - 3*z = -252. Does 27 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, 222, 1, 3, -120 in decreasing order.\nAnswer: 222, 9, 3, 1, -4, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 3*n - 8*n)*((1 + 1 - 3)*(1 + 0 - 3) + 6 - 4 - 1).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -569, -445, 1599, 6523, 15287, 28851, 48175, 74219?\n\"Answer: 160*s**3 - 996*s + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1983489 by 17553.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2. Let m(n) = 12*n**2. Let s(o) = -o**3 + 4*o**2 + 2*o - 6. Let y be s(4). Give y*m(p) - 20*a(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 244849?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 + l - l + (l - 3*l + l)*(2*l + 0*l - 4*l) + 6*l**2 - 3*l**2 + 0*l**2 + (4*l + 2*l + 2*l)*(1 - 2 - 69*l + 71*l).\nAnswer: 23*l**2 - 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14803.0015658 + 14803. Round f to 5 decimal places.\nAnswer: -0.00157","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 159 divided by -18\nAnswer: -53\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1395 divided by 465\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - d + 240 = 0. Let l be d\/(1\/225 - 0). Let j be (88\/6)\/(6\/l). What is j rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 2*k - 1. Let s be v(3). Let n be (1 - 0) + (s - 3). Find the second derivative of -5*z + n*z**2 + 4*z + 0*z**2 - 2*z**3 wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 46. Calculate the remainder when -1 - 0 - -3 - g is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (231\/99)\/((-1)\/(-3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((1 - -1) + -8)*(-32)\/6. Calculate the highest common factor of 224 and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4 + (sqrt(2057) - (4*(sqrt(2057) - (0 + sqrt(2057))))**2) - ((sqrt(68) - (sqrt(68) + 0)**2)*-1 + -2*sqrt(68) + -1)).\nAnswer: -62 + 17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6.5 * -18512.08\nAnswer: 120328.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.975272 to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7.489 or -37\/88?\nAnswer: -7.489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 + 6 - ((-1 - -4) + 92). Let v = z - -101. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16038003 is divided by 5219?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctjctcctccjtj. Give prob of sequence cttt.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*z + 9682 = -19*z - 72*z. What is the second smallest value in 68, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 8 + -10 + 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98226 = -2*l - 5*n, 2*l + 9*n = 14*n + 98186. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 147*o - 2201. Calculate i(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**2 - 261225*h = 0 for h.\nAnswer: 0, 52245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/93393 and 13\/54.\nAnswer: 186786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5024094.\nAnswer: 2, 3, 19, 44071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -14*z**3 - z**2 - z + 1. Let x be g(1). Let o be (-1 - -3)*1 - x. Let w = -12 + o. Calculate the highest common factor of w and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -r**6\/120 + r**5\/4 + r**4\/12 + 11*r**3\/3 - r**2 + 5*r. What is the hundreds digit of l(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5\/2, 5\/7.\nAnswer: -2, 5\/7, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 5. Calculate y(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -105207, -842440, -2843729, -6741102, -13166587, -22752212, -36130005, -53931994?\n\"Answer: -105338*q**3 + 133*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)\/sqrt(112) - sqrt(56)\/(sqrt(8)\/sqrt(4)))**2 - (((-1 + sqrt(112))*5 - (3 + sqrt(112) + 0 - sqrt(112))) + 0)**2.\nAnswer: -11393\/4 + 320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbbbbbzbzbbbzbczz. What is prob of picking 2 z?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 7, -3, -1568, -1 in increasing order.\nAnswer: -1568, -3, -1, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/312*5\/(55\/(-11)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 9*r + 44. Let t be f(0). Suppose -3*x + t = -4*i, -2*x + 0*i - 5*i = -37. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -64 - 1. Suppose -r = d*r + 196. Which is smaller: r or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -69.\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -6*h**3 + 16*h**2 - 30*h - 17. Let u(m) = 11*m**3 - 30*m**2 + 61*m + 33. Let l(t) = 13*s(t) + 7*u(t). What is l(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = 6, 3*w = i + 8. Suppose -3*j - 46 + 2 = -q, 0 = w*j - 20. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 5. Let v be 2\/(-4)*(h - 2). Suppose -4*c + c + 84 = 3*i, v*i - 6 = 0. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 - 21890*g - 21895.\nAnswer: 5*(g - 4379)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5690104 to the nearest integer?\nAnswer: 2385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -160*t + 1092 + 28 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.1365 - -1.8635. Which is the closest to -0.1? (a) 2\/5 (b) -2 (c) -6\/23 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide (1 - (-115)\/2)\/(24\/1104)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 874 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 308*y + 2189. Calculate a(7).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/6)\/(16\/(-984)). What is the remainder when 8 is divided by (5\/(-2))\/(41\/y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, s: 4}. Give prob of picking 1 l and 1 s.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3908600 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -1 (c) -2\/5 (d) 4.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/48 - -3) + (-579)\/24?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnmzznnzmtnn. What is prob of picking 1 t, 1 z, and 2 n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t - 18. Calculate m(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 m when two letters picked without replacement from atmtl.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 21*t + 111. Let z be s(10). Let q = -0.067 - -0.167. Which is the third smallest value? (a) q (b) 0.5 (c) 1\/30 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -497 (base 13) to base 15.\nAnswer: -385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 946?\nAnswer: 6622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2978, 2968, 2928, 2840, 2686?\n\"Answer: -3*l**3 + 3*l**2 + 2*l + 2976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12913339 + 1342639. Let y = -14256019.999915 + k. Let v = y - -42. What is v rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 60 = -3*g + 3*w, 2*w - 20 = -g. Suppose 0 = 5*r + 38 + 162. Let h be (r\/(-16))\/((1 - 0)\/72). What is the greatest common divisor of g and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48554132 less than -3?\nAnswer: -48554135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p. Suppose -d + 5 = 2*i + 25, -5*i - 35 = -5*d. Let z be -2 - (4 + i - -1). Let n(w) = -z*w**2 + 5*w**2 + 12*w**2 - 4*w**2. Determine k(n(j)).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, z: 5}. What is prob of sequence zzzb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -39*b - 2. Let n be f(-1). Suppose 0*v + v = n. What are the prime factors of v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/10 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 234990.01496?\nAnswer: -234986.01496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 234605 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 944711732.\nAnswer: 2, 31, 283, 26921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 1:22 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/18 and 20\/10 + 87\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 13. Let a = -2.6 - w. What is the nearest to 0 in a, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.166 - 0.034. What is the closest to k in -1, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a**2 + 9*a**6 - 5*a**6 + 2*a**6 wrt a?\nAnswer: 720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12900\/125)\/(-43))\/(63\/30).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12260683 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -36*(3*(-4)\/(-45))\/((-16)\/(-20))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/7)*w)**(-21))**(-6\/13))**(2\/37) assuming w is positive.\nAnswer: w**(180\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*d**3 + 1)*(-61*d + 33*d - 19 - 12*d).\nAnswer: -80*d**4 - 38*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x + 12. Let k be l(-1). Solve 0 = -0*v + k*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 + 6*j - 56. Let d(n) = 2*n**2 + 4*n - 56. Let i(x) = -6*d(x) + 7*z(x). Let c be i(-11). Let m(r) = r + 3. Give m(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + 57 + (-34 - (6 - 18)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3551.190296 to the nearest 100.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l - 31*l - 5 + l.\nAnswer: -9*l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) - (sqrt(78) + sqrt(78)*-3))*-4)\/(sqrt(6) - (sqrt(6) - sqrt(216)*4)))**2*-4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -q - 15, -11*u + 47 = -461063*q + 461066*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 792 = -26*u - 19*u for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f**2 + 115 - 41 - 2*f**3 - 7*f**2 in the form w + g*f**2 + y*f + u*f**3 and give w.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 times 0.0503961\nAnswer: -0.008063376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 * 4.49\nAnswer: 0.6735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 424566781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -49. Suppose -2*k + m = -5*u, 5*k - 39 = 2*k + 3*u. What is the remainder when 14 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.1642744, -2, -3, -0.1.\nAnswer: -3, -2, -0.1, 0.1642744, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12946 = 3900*x + 1246. What is p in -6\/11*p**4 + 36\/11 + 62\/11*p**x - 70\/11*p**2 - 2*p = 0?\nAnswer: -2\/3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2374905 is divided by 1476?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198, -244, -364, -594, -970, -1528, -2304?\nAnswer: -3334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11025 divided by -49.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, f: 15}. Give prob of sequence jff.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**9\/3024 - o**7\/840 + o**4\/2 + 5*o. Let q(z) be the third derivative of a(z). What is the third derivative of q(v) wrt v?\nAnswer: -120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1338737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.18765ml to litres.\nAnswer: 0.05618765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 3:48 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 4)\/((-3)\/2). Let b(s) = -s**3 + 5*s**2 + 7. Let h be b(5). Suppose -w*k - h = -2*u - k, 25 = 5*u - 5*k. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 975 and 19719960.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*s = 13349, 2*w + 3*s - 235 = 8663. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11)\/(-8) + -1 + ((-335965408)\/256)\/(-83).\nAnswer: 2, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.4256939 rounded to one dp?\nAnswer: 21.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 99*l**2. Let y(w) = -11*w. Calculate c(y(x)).\nAnswer: 11979*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -137402430?\nAnswer: 137402430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/105 and -227\/62432370.\nAnswer: 62432370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m. Let n(l) be the third derivative of -199*l**5\/60 - 13*l**3\/6 + 3*l**2 - 88. Calculate n(d(a)).\nAnswer: -199*a**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*g - 4 = 0. Let i be (5\/g)\/((-2)\/(-24)). What is the units digit of 10\/i + (-14)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427295 = 20*b + 21*b - 58*b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58.52 - 60.52. What is the third biggest value in j, -1, -3\/2, -1\/35, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-336)\/35)\/(2\/(-10)). Suppose g + n = 144. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.15 + 1.52. What is g rounded to one dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 2*k**2 + 7*k**4)*(-93 + 63*k + 93)*(12 - 1 + 2).\nAnswer: 5733*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (1\/(-3) - (-4760)\/1176)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*1\/((-8)\/(-180)). What is the highest common divisor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**2 + 2*z - 6. Calculate w(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x + 1722*x**2 + 0*x**4 - x**3 - x**4 - 1734*x**2 to the form z*x**4 + j*x + n*x**2 + u*x**3 + w and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -3*k - 34, 162*k - 160*k + 120 = -26*m - 20*m for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, t: 2, q: 1, u: 4}. What is prob of sequence qjju?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 126676252 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 2:40 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 + 42*r + 17. Let c be g(-21). Let i(s) = -s**2 + 5*s**2 + c*s - 20*s. Calculate i(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 52*d - 121. Let m be h(-9). Which is bigger: m or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2\/(r*r**(3\/7)*r))\/((r**(-1\/7)*r)\/(r*r**(-6)\/r*r*r)) assuming r is positive.\nAnswer: r**(-37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.68, 5, -155, -4 in ascending order.\nAnswer: -155, -4, 0.68, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-378)*3*3\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 303 + -292. Solve -18 = -7*c - x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/315)\/(7\/((-588)\/216))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/99 and 31\/33162162?\nAnswer: 99486486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -17*v - 28. What is the hundreds digit of (115*2\/v)\/(55\/(-220))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10374 is divided by 58?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*u - 2*u - u)*(205 + 80 - 181) + (5*u - 5*u - 2*u)*(2 - 3 + 3) + 3*u - 5*u + 0*u)*(2*u**2 - 2*u**4 - 2*u**2).\nAnswer: 220*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 - 59. Suppose 5*k - b = 16. Solve 25 = -k*y - y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -68\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -976265.\nAnswer: 3\/976265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-5*l**4 - 10*l**4 + 16*l**4 - l**3).\nAnswer: -2*l**4 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d. Suppose -s - 2 = -5. Let v(p) = -s*p + 2*p + 3*p. Calculate v(i(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*g = -50*g - 378. Calculate the remainder when 26 + (0 - 2 - -1) is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*((sqrt(102) + sqrt(102)*2 + sqrt(102) - sqrt(102))*6)\/sqrt(384)*-6)**2.\nAnswer: 929475\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 6741525*w**2 + 2272141652640*w + 179541266881280.\nAnswer: 5*(w - 674192)**2*(w + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011 (base 2) to base 14.\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.18 + 175.18. Let o = l - 177.88. Let g = o + -0.12. What is the nearest to 3 in 3\/7, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 351 - 349. Suppose -f = 5*i - 6, -i - t*i - 2*f = -5. Solve 8 = -3*l + r + i, -5*l - 6 = 4*r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 6955?\nAnswer: -2782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 0.4 (c) 2349\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 - 0.2. Let f = -0.15 + -10.85. Let m = f + 6. Do m and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4045742.\nAnswer: 2, 167, 12113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 613\/10 or -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = r + 4*r. Suppose r = -c + 26 + 59. Let q = -73 + c. What is the least common multiple of q and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 53, -34, -165, -334, -535, -762, -1009, -1270?\n\"Answer: c**3 - 28*c**2 - 10*c + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*b - 8. Suppose -4*d + 4 + 8 = 0. Let c(k) = k. Let t be c(d). Is b greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k*k**(6\/7)*k*k*k))**(8\/3) assuming k is positive.\nAnswer: k**(-328\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by (22\/(-55))\/((-1)\/100)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 7. Let i be 21\/(-3)*(-2 + u). Let n = i - 39. Is -6 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 + -12810.73894628\nAnswer: -12862.73894628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -m - 3*g - 74, -14 = m + 3*g. Let s be ((-6)\/10)\/(6\/m - 0). Find j such that -4\/9 + 2\/9*j**s + 2\/9*j**4 + 2\/3*j**3 - 2\/3*j = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2423)\/(-4))\/(49\/196). Suppose -4*b = -l - 621. What are the prime factors of b?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 88\/(-12) + 2\/(-3). What is the units digit of a - -11 - (-100)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3242130 or -3242097?\nAnswer: -3242097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 39, 2\/43, -1\/7?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -40*p**3\/3 + p**2 + 53*p + 76. What is the first derivative of q(w) wrt w?\nAnswer: -80*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -170.53 + 209.1. What is u rounded to zero dps?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43499147339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11 - -9)*-1*1. Solve 0 = 5*z + f*i, -i - i = -4*z + 18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vi when two letters picked without replacement from iivtiivvvvvtiv?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 0*c**3 - 318*c**2 + 1\/60*c**5 + 0*c + 0 - 1\/10*c**6 - 1\/3*c**4. What is the second derivative of n(s) wrt s?\nAnswer: -72*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 168, 355, 596, 879, 1192, 1523?\nAnswer: 1860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - 61. Suppose -4298 = -5*p + m*z + 772, 3*p - 3045 = 2*z. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 34*l + 5328. Determine a(-155).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) + (-15)\/99. Let t = 52.91 - -0.09. Let f = t - 48. Which is the smallest value? (a) 1 (b) f (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.1 times -17.711\nAnswer: 125.7481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1130797478?\nAnswer: 2, 31, 37, 83, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 661.8539 days?\nAnswer: 57184176960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**3 - 21*j**2 + 8*j - 25. Let h be a(-11). Suppose -93*c + 94*c = 0. Solve c = -3*n - f + 5*f + 5, 2*n + 3*f + h = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 5*t + 2 = 0, 2*t - 3 = -3*b - 16 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 16 - 3 = z, 3*w = -z - 3. Suppose 4*r - 44 = 4*p, 5*r - 16 - 63 = -z*p. Solve r = -5*n - 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1131 = -131. Is q a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 870 a factor of 3472437090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 728 = -14947. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -10*k - 22. Let m(b) = -b**3 + 7*b**2 - 7*b + 8. Let l be m(6). Suppose -30 - 18 = 4*h + 4*z, 4*h - l*z = -42. What is the tens digit of c(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*k - 11, -2*i - 2*k = -k + 6. Let w = 4 + i. Suppose 2*l - 4*x - 34 = -x, -l + 4*x = -27. Calculate the remainder when l is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -144 - -220. Does 19 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 51318.6 and -1?\nAnswer: -51318.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/6*26\/1638?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.078 - 0.278. Let d(s) = 2*s + 4. Let o be d(-4). Which is the biggest value? (a) q (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3b1 - 1?\nAnswer: -3b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3994, -4033, -4080, -4135, -4198?\nAnswer: -4269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + -30. Let i = 53 + w. Suppose 2*n - n + 41 = 4*u, 21 = 2*u - n. Solve 0 = -i*c + 2*c - u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 + 202\/3. Let l = 1567 - 1568. Which is the closest to l? (a) 2 (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + -21 + 10 + 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-12) - (-14)\/6. Let s = k + -2. Which is greater: 1\/2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*h**2*z**5 - 223*h**2*z**2 - 6120*h**2*z + 428456*z**5 wrt z?\nAnswer: 900*h**2*z**2 + 25707360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 8 = -13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -733816906*k**4 - 578360774*k**2.\nAnswer: -17611605744*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -51*r**2 + 390*r - 742. Give p(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 494*-991\nAnswer: -489554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12552.\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -5, -17, -33, -53?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -6448.34.\nAnswer: -12896.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 98?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9302517 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1517*v - 3*v**2 + 1 - 1517*v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -52d70?\nAnswer: -52d6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 2:43 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66444 is divided by 8304.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/223100 and 59\/20.\nAnswer: 223100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2482102.\nAnswer: 2, 7, 17, 10429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 24. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**2 + 9*y**2 - 3 - 2*y**2 + 1.\nAnswer: 15*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -29*m**2 - 3 - 17*m**2 + 17 - 14. Let b(i) = -5*i. Calculate l(b(j)).\nAnswer: -1150*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, -5, 862, -1 in increasing order.\nAnswer: -5, -1, 58, 862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34493686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 - 63. Suppose -f*o - 456 = -13*o. What are the prime factors of o?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196\/(-168)*2\/28*-2\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.013*2.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61139*f**3*q**3 + 2941*f**3*q**2 + 2*f**3*q + 13*f**3 - 4*f**2*q**2 - 58*f*q**3 + q**4 + 2 wrt q?\nAnswer: -366834*f**3 - 348*f + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 24 = -5*d, -5*r + 9 = -2*r. Differentiate -j**3 + 5 + 4 - j**d + 3*j**3 with respect to j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from lttt.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 573*d - 8. Let r(k) = -3*k - 1. Calculate q(u) - 6*r(u).\nAnswer: 591*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1229 + 1761. Suppose -162 = 5*h - 5*q - t, -2*q + 237 = 3*h. Let a = -72 + h. Solve -5*m + a + 0 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1988728 minus -16?\nAnswer: -1988712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7379288 is divided by 1054184?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 4, l: 7, c: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 31*j + 133. Calculate n(25).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 1 = -p, -3*w + 7*w = 0. Let l be (36\/(-90))\/((-8)\/(-10)). What is the closest to l in -4, 2\/7, p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/(17\/(132090\/(-84)))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2008?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 14) to base 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -87 + 117. Sort 0.2, 4, h in ascending order.\nAnswer: 0.2, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 28 = -68. Suppose -275 = -13*t + 336. What is the remainder when t is divided by i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.09, 3\/5, 6, -602, -4, 1?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -r - 5, 3*m + 2*r + 15 = -r. Let n = -31813 - -31813.2. Which is the closest to -2\/7? (a) -0.4 (b) -11 (c) m (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 535968?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*v + 33*v + 2361. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 58 from 0.2.\nAnswer: -57.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 6. Suppose 2*s - n*s = -10. Suppose -2*t + 63 = 3*t + 2*l, 4*l = 16. Solve t = -s*m - 14 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -301394.6298 - -301422. Let u = o - 23.752. Let z = -3.6 + u. Round z to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + 1 + sqrt(112)*1)**2 + -2 - (4 + (sqrt(1008) - (sqrt(1008) + -1 + sqrt(1008)))*4).\nAnswer: 60*sqrt(7) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**5 + 2*y**5 + 2*y**5 + (-1 - 4 + 0)*(-2*y**5 + y**5 - 2*y**5).\nAnswer: 17*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 144 + 42)*(0 + 2 + 1)*(0 - 2 + 4)*(5*s**3 - 4*s**3 - 4*s**3).\nAnswer: -3690*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8852200 is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 36*o + 74 = 3*o. Which is the closest to -0.08? (a) -0.3 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23704 - 44?\nAnswer: -23748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 21*c**2 - c - 9. Let r be o(-4). Let b = r + -187. Suppose 5*f - 76 = b. Calculate the remainder when f is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -30. Suppose -3*a + 1 = -q. Suppose -j = 2*c - 5*j - 293980, -a*c + j + 587995 = 0. What is c rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 greater than 264955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -5, 4\/7, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2842403503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwrwwrwwprpwpprwp. Give prob of picking 4 p.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3688?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7\/16 - -29\/48. What is the closest to q in 3, 4, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**2 + 213044*k - 106527*k - 106517*k.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, 0, 364960?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1900 = o - 191*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28 + 82?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + sqrt(112) + 2 - (sqrt(112) + (2*(sqrt(112) + sqrt(112) + sqrt(112)*-5))**2))*-4.\nAnswer: -64464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 12:51 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11068 + 11071. Which is the fifth biggest value? (a) u (b) -0.2 (c) -2\/9 (d) 5 (e) -0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*f**2 - 1229 - 1206 + 2435.\nAnswer: -47*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**2 - v + 48. Calculate c(-7).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.028 - 0.301. Round r to two decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -3, 129295, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -643d076 - -3?\nAnswer: -643d073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11311113 + -11?\nAnswer: -11311130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 10. Let c be q(9). Let m(j) = -j + 2. Let z be m(4). Let a(o) = -o**3 - 6*o**2 + 3. Let h be a(-6). Sort h, z, c in descending order.\nAnswer: h, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5 = 5. Let j = 50 + -20. Suppose -j = s*p - 5*p. What is the remainder when p is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 + 52*l - 260. Give h(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4731*t - 13775. Determine u(3).\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2 - 4*w - 3. Let r = 4455 - 4458. Let l(o) = 6*o**2 - 8*o - 5. Give r*l(v) + 5*m(v).\nAnswer: -3*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 76 + 149. Suppose -290 - 40 = -22*h. What is the highest common divisor of z and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4)**12*(s*s**(-35))**(-9\/7) assuming s is positive.\nAnswer: s**(642\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -334, 5, 0, -11 in ascending order.\nAnswer: -334, -11, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7960.82837 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*f - 541 = 0, 296*l + 3*f = 294*l + 359. Solve -68*z = -85 - l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43778.76l in millilitres?\nAnswer: 43778760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -9*x**4 - x**2 + 2561*x - 3. Let j(l) = 9*l**4 + 3*l**2 - 2562*l + 2. Let n(t) = 3*j(t) + 2*k(t). What is the second derivative of n(z) wrt z?\nAnswer: 108*z**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 9:20 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttmrlrrmrlrt. What is prob of sequence mtr?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 11. What is the remainder when y is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411660278 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 20325*b**2 - 18299510*b - 36517680.\nAnswer: 5*(b - 4824)*(b + 2)*(b + 757)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3783, 4000, 4259, 4560, 4903, 5288?\nAnswer: 5715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*r + 3*r**2 - 12*r + 3*r**3 + 27*r + 26*r**4 - r to q*r + d*r**4 + k + u*r**2 + f*r**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 3:18 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 3:52 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -319*i**3*q**3 - 5*i**3 + 3*i*q**4 + 202*i wrt q?\nAnswer: -957*i**3*q**2 + 12*i*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13807040?\nAnswer: 2, 5, 13, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7559994*g + 12. Suppose 4*v - 5*x = -23, -9*v + 8*v = -2*x + 8. Let w be d(v). What is w rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1892698*n**2*s - 67*n**2 - 443455*n*s - 2*n - 22 wrt n.\nAnswer: -3785396*s - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t**2 - 2*t. Let b(z) be the third derivative of -z**4\/24 + 1701*z**2 - 2. Calculate -2*b(x) + p(x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2108?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1613, 0, -27 in ascending order.\nAnswer: -27, 0, 1613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**7\/42 - 26*h**6\/15 - 1033*h**5\/20 - 4837*h**4\/6 - 21070*h**3\/3 - 34300*h**2 - 67*h + 2. What is p in f(p) = 0?\nAnswer: -14, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 886*w + 69513.\nAnswer: (w - 799)*(w - 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**5 + 12*c**4 - 12*c**3 + 4*c**2 = 0 for c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q. Let x(n) = -n**2 + 4*n - 1. Let y be 45\/10 + (-1)\/2. Let f be x(y). Determine u(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*-1 + 11 - (-56)\/14. Suppose 0 = -d*g + 17*g - 432. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 8:26 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-4 - (-17 + 0)) + (10 + -14 - -51)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 3*m - 285 + 260 = 0, 3*j = -2*m - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -187 + 207. Suppose p = -4*c + m, 4*p = 3*c + 8*p - 28. What is the smallest common multiple of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76137298?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and 28.969457.\nAnswer: 376.602941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/1 + 6\/2. Let s be m\/6 - 438\/(-9). Suppose s = -w + 5*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.4 * 1.4\nAnswer: -28.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 68262211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.9 - -4.817. What is d rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 8*b - 9. Suppose 5*a = a - 5*h - 5, 3*a + 4*h + 4 = 0. Suppose a = 4*v - 2*v - 18. Give m(v).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d**4)*d))\/d)\/(d\/(d*(d\/d**(-1\/9))\/d))*d**(-1\/4)\/d**6 assuming d is positive.\nAnswer: d**(-113\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2. Let x(z) = 1271803*z**2. Give k(x(n)).\nAnswer: 3234965741618*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, 7579, 0, 4, 5 in decreasing order.\nAnswer: 7579, 6, 5, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*z + 447 = -189*z. Let v = z + -178. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13127960 divided by -8?\nAnswer: -1640995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(17*f - 4*f + 4*f)*(113 - 46 + 31)*(-2*f + 0*f + 0*f).\nAnswer: 9996*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2. Let l be 96\/6 + 1 + 0. Let i(r) = -l - r + 5 + 12. Determine g(i(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25663?\nAnswer: 11, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1945, 3651, 5359, 7069, 8781?\nAnswer: 10495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -1. Suppose l*v - 16 = v. What is the highest common divisor of v and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 31. Let d = 2 - u. Calculate the least common multiple of (1\/(-3))\/(d\/144) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9356080, -9356118, -9356182, -9356272, -9356388, -9356530, -9356698?\nAnswer: -9356892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 599891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03785 + 1845.26215. What is i rounded to the nearest ten?\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/511 or 0?\nAnswer: -18\/511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 37 - 25 = -4*d, -2*d + n = 0. Solve -4*v - 12 = -3*w - w, -w = -d*v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -218\/5 - -131\/3. Let v = -3.958 + 1.958. Sort c, v, -0.3, 2\/3.\nAnswer: v, -0.3, c, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 13*x + 127. Let o(v) = 3*v**2 - v + 11. What is the remainder when o(-5) is divided by q(-8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6352 = -v + 3601. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -847 - 64246.334609.\nAnswer: -65093.334609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/4 + 637*w - 405769.\nAnswer: -(w - 1274)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + g**2 - 3*g + 3. Let m be b(2). Suppose 0 = 8*l - m*l + 47. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**3 - 6*c**2 - 2*c + 2. Let b(l) = -l**3 - l**2 - l + 1. Let s(y) = 2*b(y) - z(y). Find the third derivative of s(n) wrt n.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55*d - 161*d + 1052*d**3 - 11*d - 177*d + 250*d**3 wrt d.\nAnswer: 7812*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1666888 and 25483?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*p - 114, -2 - 8 = 5*r. Let c = p + 20. Let y = c - -36. What is the highest common divisor of 26 and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 18. Calculate the remainder when (-155)\/35 + 4 + 3114\/63 is divided by (-1)\/i*(-6 + -28).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280675 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -11*l**3 - 7*l**2 + 7*l + 37. Let f(x) = 6*x**3 + 4*x**2 - 4*x - 18. Determine 7*f(w) + 4*y(w).\nAnswer: -2*w**3 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 9*c - 5. Let m be p(8). Suppose 5*u + 38 = -4*v, -5*v + v + 10 = -m*u. Calculate the common denominator of 44\/3 and (-734)\/(-60) - (-2)\/u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1657067806 to the nearest integer?\nAnswer: 40707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015069 to six decimal places.\nAnswer: 0.000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1042\/564 - 1\/3. Let s = -2\/141 + l. Factor s*y**2 + 0 - 3*y.\nAnswer: 3*y*(y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -1.8, 821.7087?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.44 + -0.04. Let q be (-2)\/1 + (-528)\/(-15). Let f = q + -33. Which is the second biggest value? (a) t (b) f (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 + 102. Let n(u) = -u + 1897*u**h - 3804*u**2 + 1904*u**2 + u**3 - 5. What is n(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3.5989 or -0.07?\nAnswer: 3.5989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2 + (-38)\/76. Solve 0 = a - v + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q + 8*q - 13*q - 9*q**2.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*m - t, -2 = -m - 2*t + 8. Differentiate -m - 4*x + 9 - 2 with respect to x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3904 a multiple of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39.999781 - -40. What is n rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*3*2\/16. Let o be (-39)\/9 - (-2)\/6. Sort 2, o, c in ascending order.\nAnswer: o, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-42))\/(1\/(-2))*2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 392082077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 0, -2178, -0.4, 1181, -3 in descending order.\nAnswer: 1181, 3\/4, 0, -0.4, -3, -2178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -5495.546 to the nearest integer.\nAnswer: -5496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 - -135. Let a = 11 + q. What are the prime factors of a?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9248 a factor of 3628730240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 m, and 1 y when four letters picked without replacement from meyiynrmr?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 - -84. Suppose 0*a = 5*a + x. Let m = 16 + a. What is the least common multiple of 14 and m?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 10 = 0, -5*x + 7*x - 4*g = -12. What is the least common multiple of (((-32)\/(-5))\/4)\/((-1)\/x) and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5 = 0, 177 = 2*u + 7*t - 10*t. Let r = 223 + u. What is the remainder when r is divided by 106?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 10*s - 5. Suppose 0 = 52*h - 50*h - 12. What is the remainder when c(-7) is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 10593*j**2 + 2*j + 14. Let q(g) = 2*g. Give x(q(u)).\nAnswer: 42372*u**2 + 4*u + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669966 is divided by 223321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**1*v**0*(v\/(v\/((v\/v**6)\/v)))\/v**1)**(-4))**35 assuming v is positive.\nAnswer: v**980","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/5 + 337*g\/5 - 9282.\nAnswer: (g - 105)*(g + 442)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 9*z**2 - 7*z + 2. Let v be j(8). Suppose 0 = -5*i - v, -4*f - 117 = 3*i + 173. Let q = -16 - f. What are the prime factors of q?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101001 (base 2) to base 12\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 98772595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 875729.3mm in nanometers?\nAnswer: 875729300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*(-4*(sqrt(343) - -1*sqrt(343)*-3))**2*4.\nAnswer: -351232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1182.615006 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Let h = -453 + 454. Let k be (-52)\/133 - 26\/(-247). Which is the fourth biggest value? (a) 2 (b) s (c) k (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 864 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 5*i + 3*b = -1915, -365 = -i - 3*b. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/12)\/((-2)\/(-68)). Suppose -2*n = -n - s. What are the prime factors of n?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) - 5*(-4*sqrt(200) + sqrt(200)))**2 + 4 + ((sqrt(80)\/sqrt(4) + sqrt(20))*-4)\/(1*sqrt(1440)).\nAnswer: -2*sqrt(2)\/3 + 51204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -13 - (35 + -28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4268 divided by 5\nAnswer: -4268\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -20. Let j(n) = n - 3. Let i(k) = -1. Let h(q) = g*i(q) - j(q). Let b(a) = 2 - 4*a - 2. Determine h(b(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.9385595 rounded to two dps?\nAnswer: 27.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 - 40346 + 40346 + 3*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*q - 44*q = 15 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23765 - 18?\nAnswer: -23784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 3*p. Suppose -7*a + 3*a + 24 = p. Calculate the smallest common multiple of (0 - -6) + a + -8 and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f + 35*f + 14*f - 2*f.\nAnswer: 67*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 145113453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + u = 4*u + 19, -30*l - 3*u = -33*l - 45 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*a - 121 + 11 + 112.\nAnswer: -62*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107094, -214173, -321250, -428325, -535398, -642469, -749538?\nAnswer: -856605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30261 (base 7) in base 6?\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 32*t - 154. Let y be a(6). Let x(m) = m**3 + m**2 + m - 5. Let z(s) = -2*s**3 - 2*s + 6. Let l(g) = 4*x(g) + 3*z(g). Give l(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10099\/5910 + 366\/197. What is the common denominator of -19\/375 and i?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**2\/2 - 9*p - 12 = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2038 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 8*x + 11. What is c(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 4*h, -h = -14*v + 10*v + 20. Let l(u) = -10*u**3 + 12*u**2 - 2*u + 22. Let g(i) = -i**3 + i**2 + 2. Let s(r) = v*l(r) - 44*g(r). Factor s(d).\nAnswer: 4*d*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2446*-5)\/(800\/64 - 13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztsrtzhhtrmt. Give prob of picking 1 r, 1 t, and 1 m.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73193\/12 + 6091. What is the common denominator of -61\/12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-9))\/((-10)\/12). Let v be (-40)\/(-99) - (155\/(-55) + 3). What is the closest to -2\/7 in v, z, 2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 - r. Give v(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**4\/12 + 5*d**3\/6 + 18*d**2 - 644*d. Determine u so that v(u) = 0.\nAnswer: -4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k - 55. Let n be d(13). Suppose n*p - 18*p = -10. Put 5, p, 3, -8 in decreasing order.\nAnswer: 5, 3, p, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1900 and 62?\nAnswer: 58900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81804275?\nAnswer: 5, 7, 43, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*q + 11 = -8, z = 5*q - 22. Calculate the highest common divisor of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 3 (c) 0.4 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/102143 + -555351464\/919287. Let n = r - -605. Is n equal to 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 6 = -24360*r + 24362*r, 72 = -4*c + 16*r for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972)*-2 + sqrt(972))\/(sqrt(576)*1).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2510, 1, -3 in ascending order.\nAnswer: -3, 1, 2510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1095.5 - 1095. Sort -0.3, 8\/11, f in increasing order.\nAnswer: -0.3, f, 8\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*j**2 + 382*j**2 + 330*j**2.\nAnswer: 725*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 0*g**3 + 3*g**2 + 0 + 0*g - 1\/12*g**4. Let l(f) = f. What is l(h(v))?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4 = 4. Suppose 5*z - 5*o = 35, -2*z - 6*o - 7 = -o. Determine p so that -z*p**4 - g*p**3 - 3*p**4 + 9*p**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 2)*(4*n**2 - 6 + 6) - 97*n**2 - 209*n**2 + 48*n**2 in the form f*n**2 + h*n + x and give f.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4748 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, a: 1, q: 1, m: 1, i: 2}. Give prob of picking 1 i, 2 q, and 1 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 294 + 5*w**2 - 3*w**2 - 61 - 8*w**4 - 3*w**2 - 5*w**4 wrt w?\nAnswer: -52*w**3 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 - 29*v**2 - 14*v - 26. What is l(-15)?\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3472, 7027, 10672, 14407?\nAnswer: 18232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + r + 1 = 3, 12 = -2*d - 4*r. Suppose 260 = 5*w - d*p, -w + 3*p + 2*p + 29 = 0. Suppose -5*b = -1729 + w. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502718969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10 + 114\/8 - 4. Let k be (-1)\/4 + (-57)\/12. What is the closest to -5 in k, -0.1, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(425) + sqrt(17))*-5.\nAnswer: -30*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 101683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*g - 198 = 0, -f - 4*f = 4*g - 367. What is the remainder when f is divided by (1\/(1\/18))\/(6\/(-3) - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (80\/(-2))\/5 - 8\/(-2). What is the remainder when -159*3*k\/36 - -4 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 7. Suppose 0 = -59*l + 50*l + 9. Let d be (n - -3 - 4)\/l. Solve -j = -d*j + 4*x + 1, -4*x = 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 23. Suppose -4*x = -5*h - c*x + 16, 3*x - 1 = 4*h. Solve 2*l + 8 = -h*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/5 + 22*t**2\/5 + 4*t.\nAnswer: 2*t*(t + 1)*(t + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 7:07 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 2*k + 4*k)*(6 + 7 - 5).\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/((t\/t**24)\/t)*t)\/t)\/(t*t**(2\/17)*t)*t*t**(1\/9)*t\/t**(-19))**(1\/49) assuming t is positive.\nAnswer: t**(6884\/7497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2446783 and 787.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -2 + -1)*-1. Solve -2*u + r*n = 0, n = 5*u - n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*g - 6*r - 3, r - 5 = 0. Let x(c) = -c**3 + 9*c**2 - 11*c + 10. Let o be x(g). Let d be -2 + 6\/3 + -2. Sort d, o, 0 in ascending order.\nAnswer: d, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.22596 and -7?\nAnswer: 6.77404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.6 - -8.61. What is the biggest value in -0.4, 0, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7614.9983248 + -7615. What is j rounded to 5 dps?\nAnswer: -0.00168","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -696 (base 16) in base 4?\nAnswer: -122112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*r + 2. Let i = r - 2. Solve -3*g + 17 = -4*h, 0 = -i*h + h - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 26391794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 300\/5*8\/(-32) - -30\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14212971 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/7)\/((-3)\/(-2)). Let i = -1.6 - -4.6. Sort q, i, 1 in decreasing order.\nAnswer: i, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27)\/(-3) - -191160 - (8 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21\/211 or -2\/7?\nAnswer: 21\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -5. Let -j*x**2 - 220*x + 220*x = 0. Calculate x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 0*v**3 + 6*v**2 - 6 + 2*v - v**3 + 0*v**3. Let n be o(6). Suppose -n + 4 = -z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3 - 3 - 5*z - 3. Calculate the remainder when f(-6) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) -1280 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -84, -124, -202, -330, -520?\nAnswer: -784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -969071 + -0.039?\nAnswer: -969071.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -a**4\/12 - 11*a**3\/6 + 3*a**2 - 18*a. Calculate u(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*x + 64*x = 115*x + 5103. Calculate the remainder when x is divided by 182.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3*d - 18, -4*d = k - 0*k - 6. Let p be (-18)\/k - -1*6. What is the third derivative of -6*n**2 + 5*n**3 + 2*n**2 - 2*n**3 - n**p wrt n?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34397 + -15912. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21\/107 + 319\/535. Which is the third biggest value? (a) 266 (b) i (c) -3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((232\/(-87))\/((-2)\/(-6)))\/(8\/8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**3 - 6*q**3 + 0*q**3 + (3*q + q - q)*(-2*q**2 + q - q) - 22*q + 2*q**3 + 22*q to the form m + n*q**3 + w*q**2 + c*q and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -220*c*o*u**2 - 4*c*u**3 + 4*o*u**3 + 16*o*u**2 - 44*u**3 with respect to c.\nAnswer: -220*o*u**2 - 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*t - 6*t + 50*t - 27*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/3)\/((-188)\/(-141)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/30, 0.17, 0.5 in increasing order.\nAnswer: -4, -1\/30, 0.17, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/24*(-90)\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 89\/5 + (-1314)\/73. Put j, 1\/6, -23\/50 in decreasing order.\nAnswer: 1\/6, j, -23\/50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 119899080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0924 - 0.092156. Round w to 5 dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 71, 135, 195, 251, 303?\n\"Answer: -2*q**2 + 70*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a + 402 + 58*a**2 - 400 + 3*a wrt a.\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 135075 + 6218. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.006 (b) 11\/52 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 446700\/83 - 5382. Suppose -c + 13 = -3*k, 34*c = 37*c + 2*k + 5. Is c greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 0 + 0. Let k(l) be the second derivative of -l**7\/420 + 4*l**4\/3 - 37*l. Let p(n) be the third derivative of k(n). What is p(d(a))?\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 6*b + 1. Let v be a(5). Let t be v\/10 + (-2)\/20. Let h = 5.7 + -6. What is the nearest to t in 4\/9, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -a8?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 9*y + 1. What is b(5)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 27. Let o(a) = a**3 - 10*a**2 - 24*a - 5. What is o(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 5*y + 7. Let a(k) = -39 + 39 - y*k**2. Let s(u) = u. Calculate a(s(q)).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 980 - 546. Let q(k) = -k**3 - 13*k**2 - 14*k + 5. Calculate the remainder when v is divided by q(-12).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1228*w**2 - 11073*w**2 + 2680 - 4762 - 4417 wrt w?\nAnswer: -19690*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2. Let j(z) = 259396*z**2. Give j(s(h)).\nAnswer: 2334564*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + v)*(-v**2 - 15815 - 21*v + 15815 + (-4 + 4 + v**2)*(2 - 4 + 0)) to y + d*v**2 + x*v + n*v**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -294773.\nAnswer: -4\/294773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 - 128. Let a be ((-28)\/z)\/(2\/7). Find the third derivative of -19*w**4 + 3*w**6 + 19*w**4 + 4*w**a wrt w.\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1338 and -13.\nAnswer: -1.7394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 404 - -17?\nAnswer: 41b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t**2 + t**2 - 6*t**2 - 4*t**2 - 5*t**2. Let g(j) = 4*j. Calculate n(g(v)).\nAnswer: -304*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441.716678 rounded to 1 decimal place?\nAnswer: 1441.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9 + -9 - -11)*6. Suppose -67*h = -u*h - 1734. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.18, 10, 3.\nAnswer: 1.18, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*r + y - 20, -8 = -2*r - 2*y. Suppose -60 = -7*m + r*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/711 and -68\/15.\nAnswer: 3555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -739 - 1193 - 5*y**3 - 158*y + 681 - 80*y wrt y?\nAnswer: -15*y**2 - 238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -51797, -51796, -51795?\n\"Answer: o - 51798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Let z be (20\/12 - p)*-21. Let 6*s**3 - 3*s**2 + 2*s**2 - z*s + 4*s**2 - 3*s**4 + s = 0. Calculate s.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -2\/5689875893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2271296706?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -499, -1936, -4339, -7714, -12067, -17404, -23731, -31054?\nAnswer: -39379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p - 266 = 83*p - 47 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 69*z - 10 - 6 - 21*z)*(-3 - 35*z**3 + 139*z**3 + 4) to the form l*z**3 + b + n*z + a*z**2 + v*z**4 and give l.\nAnswer: -2080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 38*u**2 + 99*u + 7. What is y(-4)?\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:37 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10379*x + 1433*x - 140942 - 386872 = 0 for x.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19, 30, 37, 40, 39?\n\"Answer: -2*l**2 + 17*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -13. Suppose g = 5*b + 2 - 22. What is the closest to -1 in b, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -2 - 10 - -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -654792.9004.\nAnswer: 654789.9004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 525?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 10. Suppose 11 = a*f - 31. Let m(w) = -3*w**2 - 35*w - 77. Calculate the remainder when f is divided by m(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/37 and -25\/17764.\nAnswer: 657268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 + 0*q**2 + 2*q**3 + (-13*q + 4*q + q)*(2*q**2 - 2*q**2 + 2*q**2).\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(8)\/sqrt(4)*-2 + -1 + sqrt(72) + 4.\nAnswer: 3 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1087964.94831 + -1087958. Let b = -0.03921 + t. Let w = b - 6.9. Round w to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18635 + -25123. What is k rounded to the nearest one hundred?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -659? (a) 6 (b) 3 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 33*t + 34. Let i be g(30). Suppose 0 = -2*a + 18 - 4. Suppose 3*y - a*y = -i. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 2 + 34*i - 9 to l*i + m and give l.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 1861*g**2 + g - 144. Let m(r) = 43*r. Give p(m(d)).\nAnswer: 3440989*d**2 + 43*d - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 49\/36 + (-5)\/4\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pttc when four letters picked without replacement from {q: 1, t: 2, g: 2, p: 2, c: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1769*n**3 - 1808*n**3 + 3573*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 265328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11755494 * -0.3.\nAnswer: -3526648.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7507 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 24 = -y, -t - 1 = -y - 3*y. Let u(i) = -4*i**3 - 3*i**2 - 4*i - 2. Let f be u(y). Find the first derivative of -12 - 3*d - d + f*d - 2*d wrt d.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 15*z**3 - 6*z**2 - 2. Let h(y) = 16*y**3 - 5*y**2 - 1. Let f(s) = -4*d(s) + 5*h(s). Find the third derivative of f(c) wrt c.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20437 (base 10) to base 6.\nAnswer: 234341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v. Let y(r) = 169688167*r. What is y(t(f))?\nAnswer: 169688167*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-2 + 1 + (-1*sqrt(567))**2 - (sqrt(77)\/(sqrt(11) + sqrt(44)) + 2*sqrt(448) + sqrt(7))**2) + -1 + sqrt(448) + 5 + 3*-1*sqrt(448).\nAnswer: -13780\/9 - 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -7*k + k. Let x(b) = b**2 + b + 5. What is x(k)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 + 0*z**3 + 0*z**3 + (-9 + 9 - 5*z)*(2*z**4 - 14*z**4 - 15*z**4).\nAnswer: 133*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 79*c**3 + 9*c - 7*c - 1 - c.\nAnswer: 79*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.3 - -0.3. Let b(h) = h**3 - 8*h**2 - h + 11. Let o be b(8). What is the second smallest value in o, 2\/5, q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-184)\/(-253))\/(38\/(-209))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*-6 + sqrt(136)\/sqrt(8)*-3 - (sqrt(85)\/(1*sqrt(5)*2) + 0)**2) + 4.\nAnswer: -27*sqrt(17) - 1\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 240089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-11)\/a*a)**(7\/4)\/((a**(1\/29)*a)\/a**(2\/11)) assuming a is positive.\nAnswer: a**(-25651\/1276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290 + (375 - 80) - ((-2 - 0) + (-8 - 3)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1492 is divided by 746.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -200 - -200. Let f = 0 + 3. Suppose 5*l = -5, 2*d - 9 = f*l + 2. Solve -2*q - c + 3*c = -16, -4*q - 3*c + d = j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -33. Suppose c = -8*r - 44 + 252. Suppose -645 = -2*m - 3*m. Calculate the remainder when m is divided by r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2 = 3*r, -o + 2 = 3. Let j be (-2 + (r - -20))*(-10 + 9). Which is smaller: -3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (48\/(-10))\/((-4)\/10) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275328 divided by -1?\nAnswer: -275328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = 9*h - 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 + -66 + -3 + -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-4\/7))\/(o**(-11)*o))\/(o\/(((o\/o**(1\/18)*o)\/o)\/o*o)*o**0\/o*o))**(1\/12) assuming o is positive.\nAnswer: o**(1451\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/9)*l)**(-50) assuming l is positive.\nAnswer: l**(-250\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -367 or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**4 + b**4 + b**4)*(-24*b + 11*b + 11*b).\nAnswer: -2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 82376200238 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**4 + p**4 + p**4 + (1 + p**2 - 1)*(-3 - 2*p**2 + 3) - 4*p**4 + 0*p**4 - p**4 to g*p**4 + d + m*p**3 + s*p**2 + r*p and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 94*t**3 + 0*t**2 - t**2 - 95*t**3.\nAnswer: -t**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.69968, 4, 0, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2095475*k**4 - 10658305.\nAnswer: -8381900*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 17. Solve 0*x = i*x + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196454332.\nAnswer: 2, 1373, 35771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/7 - 107*h\/7 + 510\/7.\nAnswer: (h - 102)*(h - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7652?\nAnswer: 2, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/9*-18*(-1)\/(-3). Let r = h - -1. Suppose -b + 5*b + m - 155 = 0, -r*m + 15 = 0. What is the greatest common factor of b and 304?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-8)*2*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1649 is divided by 127.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 - 47. Suppose -3*k + 77 = -2*k - n*o, -4*k + 392 = o. Suppose q - 7 - k = 0. Calculate the remainder when q is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -40*s - 2*s**3 + 11 + 1 + 54*s = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -206 + 657. List the prime factors of c.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b6 + a3?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1313 - -1317. Let x(w) = 2*w**2 + w - 5. Let q(l) = 2*l + 9*l**2 - 3 - 8 - 4*l**2. Calculate z*q(j) - 9*x(j).\nAnswer: 2*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*z - 4 = 0. Let t = -11 + 6. Let c = z - t. Calculate the greatest common divisor of c and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 227, 222, 205, 170, 111, 22?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/765*22752\/10112?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**3 - 39*v**2 - 28*v - 352. Let t be m(-13). Let x be (-10 - -10)\/(3 + -2). Solve x = 4*g - t + 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.275627 micrograms to grams.\nAnswer: 0.000003275627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - 3*u + 0*u)*(-7*u + 17*u - 16*u)*(-3*u**2 - u**2 + 6*u**2).\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34207313\/13170 + -438\/2195. Let z = 2591 - m. Calculate the common denominator of -47\/5 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29940, -29933, -29914, -29877, -29816, -29725, -29598, -29429?\nAnswer: -29212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - u - 196. Suppose -u = -5*j + 2*x, x + 20 = 2*j - 19. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 5:06 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((0 + sqrt(3072))**2 - sqrt(48)) + 2.\nAnswer: -4*sqrt(3) + 3079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 5*a + 5, 54*l - 58*l + 3*a + 11 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) -4\/1391 (b) -101 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 164 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23806013*h**2*p**4 - 176278*h**2*p**2 - 165*h*p**2 wrt p.\nAnswer: -571344312*h**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1297\/11 - -118. Let v = -410662 + 114984817\/280. Let d = v + 9\/40. Calculate the common denominator of d and i.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**4 + 105305240*a**3 - 1386149301737436*a**2 + 2772298287559160*a - 1386149091126962 = 0.\nAnswer: 1, 26326309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 747*h + 66149. Calculate b(80).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49400 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+566863\nAnswer: 566863.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0058026936 to 5 decimal places.\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -842.99845 + 843. Round n to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19030*g + 19030*g - 9*g**2.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 8*l - 5. Let q be i(8). Let g be q*(-42)\/35*(-20)\/(-6). Find the third derivative of -70*f**2 + 116*f**2 + g*f**5 - 58*f**2 wrt f.\nAnswer: 1200*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/9 (b) 0.4 (c) 2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 3*c**2 - 2*c - 1. Let j = -18 - -12. Let t be (j\/(-10))\/((-3)\/15). Let b be q(t). Solve -b = -5*v + 15 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942 is divided by 193.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.93 - -0.07. Let g = 3.4 - d. Let m = 8 - 7.7. What is the biggest value in g, 4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/(-24))\/((-10)\/2))\/1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2226089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -297860 times 0.13\nAnswer: -38721.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 5, 18 in descending order.\nAnswer: 18, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-4)*8\/3. Let x(b) = -7*b + 8. Let h be x(t). Let r = h + -28. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9*b. Let y(q) = 8*q - 6. Let x(v) = v - 1. Let f(c) = -6*x(c) + y(c). Let m(r) = -6*f(r) - j(r). Let g(o) = o**2. Calculate m(g(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 8 = 2*o, v = 4*o + 21 - 5. Let a(q) = q**2 - 3. What is the units digit of a(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4260 at least -3\/92830?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1 + 2 - b**2 - 1. Let j(o) be the third derivative of o**5\/15 - 2*o**2. What is j(y(m))?\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -0.011196727.\nAnswer: 0.388803273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 3*c**2 - 2*c - 3. Let i be j(-3). Let g(n) = -n**2 - 6*n + 3. Let x be g(-6). Solve x*b = i*y, 2*b - b + 8 = -3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 - 2. Let l(a) = 65*a - 680. Let b(r) = -5*r + 51. Let x(c) = 40*b(c) + 3*l(c). Calculate x(p(f)).\nAnswer: 10*f**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 496704850 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: b\"What is the vth term of -17, 16, 71, 148?\n\"Answer: 11*v**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*f = 50, -5*f + 2*f + 115 = -2*u. Let b = u - -69. Solve 0 = b*o + 2*a - 4*a - 18, 2*o - 13 = 5*a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107 - 52. Let f = -54.9 + l. Which is the closest to f? (a) -5 (b) -1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 - (16 + -37)) + 23?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -610 by -10.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 454440101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 3583.\nAnswer: 25081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 662 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4.1 (b) -1\/4 (c) -10 (d) 5 (e) -0.3 (f) -1\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 9*t - 6. Let m(f) = -27*f + 19. Let o(s) = 2*m(s) + 7*r(s). What is the remainder when 25 is divided by o(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 2*j + 4 = 0, 3*j - 6 = -6*i + 11*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1240842 divided by 413614\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -120 or -119?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 2) in base 14?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88 + 157. Let u = -68 + v. Calculate the greatest common factor of u and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -14*j + 6174. Is j a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k - 55028 = 40*k - 53928 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114536205 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -893032 and -1.051.\nAnswer: -893033.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/25)\/(((-24)\/(-6))\/76).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -377, -159, 46, -6 in decreasing order.\nAnswer: 46, 5, 1, -6, -159, -377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a**2 + 2*a**2 + a**2 + 2*a**4 + 2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 0, -57, 4, -1 in increasing order.\nAnswer: -57, -5, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4338, -8670, -12964, -17202, -21366?\nAnswer: -25438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*x + 147 = 0. Suppose 7*r - 5 = 6*r. Suppose -4*c = 5*v - 23, -c - 3*c + r*v + 33 = 0. What is the greatest common divisor of c and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(2*((-10)\/((-3570)\/17))\/(1\/(-3)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 4*g - 36, 3*y - 3 - 39 = 3*g. Calculate the remainder when y is divided by ((-3)\/6)\/((-2)\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 375464 - -5?\nAnswer: 375469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4 = -2*m - 20, m = -2*p + 1. Suppose -h = p*h. Put h, -3, 1 in decreasing order.\nAnswer: 1, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2509?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -14, -5, 2, -1, 1823 in increasing order.\nAnswer: -14, -5, -4, -1, 2, 1823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-318)\/265)\/(3*(-2)\/(-15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18037 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: What is the greatest common factor of 2 and 338?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.37252284 rounded to four decimal places?\nAnswer: 1.3725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -705*a**2 + 226*a**2 + 175*a**2 + 160*a**2.\nAnswer: -144*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12188?\nAnswer: 2, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 468 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggugugggggggggugggu. Give prob of sequence ugu.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -7*u**2 + u. Let s be ((-16)\/14)\/2 + 22\/14. Determine f(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3)*8*(-1095)\/146. What is the highest common divisor of 380 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2506 (base 12) to base 11\nAnswer: 3162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -12. Suppose -10*v + 11*v = j. Solve 1 = -2*m + 4*z - v, -5*m = 3*z + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1580 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -15*n + 10*n. What is the remainder when n is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 11 - 9 = 0. Suppose 4*u = -c + 13, c + 5*u + 52 = t*c. What is the highest common divisor of 13 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -c + 23, 30*c + 20 = 8008*g - 8016*g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**7\/70 - 73*x**5\/20 - 53*x**4\/3 - x**3\/3 - 914*x**2. Find the second derivative of l(r) wrt r.\nAnswer: 36*r**2 - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55502.4 - 55501.6. Suppose -4*u = 12, 2*u = 5*a + 7*u + 15. Sort f, a, 3\/7, -3\/5.\nAnswer: -3\/5, a, 3\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**3 - 2*a**2 - 2*a - 1. Let j be g(3). Let z = j - 39. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -480516, -199\/2, -4?\nAnswer: -199\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*v - 22 + 0 + 23 - 29*v + 7*v.\nAnswer: -45*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.95 - 3.05. Let v = 3 + -3.1. Let y = 12\/35 + -2\/35. What is the second smallest value in j, v, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 - (195\/10)\/((-10)\/20) is divided by 1\/4 + (-51)\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 + 6895 - 6895.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359892.\nAnswer: 2, 3, 13, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11103220 (base 4) to base 11\nAnswer: 15370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)*1*3 - (sqrt(187)*1*-3 - sqrt(187)))\/(sqrt(22)\/sqrt(2)*4*-5))**2.\nAnswer: 833\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6 = 15. Let l be (-6)\/(-2) + 5 + (2 - o). Find the second derivative of 50*u**5 + 3*u**3 + 1 - 4*u**l + u**3 - 3*u wrt u.\nAnswer: 1000*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36.932 - 0.068. Let u = p - -162. Let v = 124.33 - u. What is v rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and ((-148)\/7)\/(-6 - (-1116)\/189).\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12393*k**2 + 3*k**3 - 30*k**3 - 12393*k**2.\nAnswer: -27*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h = 18*h. List the prime factors of (-3686)\/(-38) - (-3 - h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 2:10 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 602\/248439?\nAnswer: 602\/248439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 34*y**2 + 2*y - 2. Is 42 a factor of t(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*r = 2*v + 130, 0 = -5*v - 3*r - 293. Let t = 70 + v. Let q(m) = m**3 - 3*m**2 + 4 + 1 - 3*m + 5 - t. Determine q(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1))**(-2\/35)\/(k*k**1)**(-39))**(2\/7))**(-9\/5) assuming k is positive.\nAnswer: k**(-49176\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366 + 41 = c - 5*b, 3*b + 650 = -2*c. Let w = -165 - c. Is w a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (468\/962)\/(-9) + 742\/37?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -14*(19 + 2981\/(-154)). Put 6, u, -9, -5, -3 in decreasing order.\nAnswer: 6, u, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -77, -84, -91?\n\"Answer: -7*a - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 68*r - 1311. Give u(-84).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000370501 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44764 + 0.06133.\nAnswer: 44764.06133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -8. Let k = v + 5. Find the second derivative of -k*z + 4*z**4 - z + z wrt z.\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**40)**(1\/25)\/(y*y**(-21)*y)**17)**(2\/9) assuming y is positive.\nAnswer: y**(1082\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18 + -9)*(12\/9 + -1). Factor -j*k**3 + 6*k**2 - k**5 - 2*k**2 - 4*k**4 + 3*k**5 + k**3.\nAnswer: 2*k**2*(k - 2)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 5:05 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 1146*y**2 + 26*y + 50. What is the tens digit of o(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 570386 and 570368 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133737 is divided by 5468?\nAnswer: 2505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23754 + 23749. Let v(q) = -q**3 - 11*q**2 - 31*q - 21. Determine v(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56132810?\nAnswer: 2, 5, 17, 61, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - x - 4. Let s be w(3). Let t(c) = 2*c**2 + 9*c + 1. Let d be t(-6). Let p = 39 - d. Solve -s*n - p = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 6*t**2 + 8*t - 1. Let g be p(-7). Let d be (-2)\/g + 95\/4. What is the greatest common divisor of 8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5315 >= -4923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*m**3*z**3 + 2948*m**3*z**2 + 8*m**2*z**2 + 2*m*z**2 + 3*m*z + 412*z**3 wrt m.\nAnswer: -78*z**3 + 17688*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldddddddlll. What is prob of picking 2 d and 1 l?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*m**3 + 2820*m**2 + 95073*m + 26934.\nAnswer: 3*(m + 67)**2*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.906281 meters?\nAnswer: 906.281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -0*r - 3*r. Let p = r - 18. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, e: 1, l: 1, r: 1}. Give prob of sequence reer.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 42*k - 2. Let f(m) = m**2 - m - 1. Let o(q) = -7*q**2 - 79*q + 9. Let z(x) = 4*f(x) + o(x). Let t(v) = -5*b(v) - 2*z(v). Factor t(s).\nAnswer: -4*s*(s + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(4\/9))\/(z**(-9)\/z) assuming z is positive.\nAnswer: z**(95\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111 - 109. Let l be (-90)\/(-25) + (1 - d) + -3. What is the nearest to l in -1\/4, 0.5, -1.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = s + 5. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104436549 to the power of 1\/3, to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 112021012020112 (base 3) in base 12?\nAnswer: 2657728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21352, 23569, 25786?\nAnswer: 28003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q**3 + 7*q. Let x(f) = -2*f**3 - 2*f. Let b(i) = i**3 + 12*i**2 + 10*i + 10. Let j be b(-11). Calculate j*x(h) + 6*z(h).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/3 (b) 3 (c) -8 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(3 - 14\/4). Suppose 0 = -x*o + 5*o - 1. Let b(u) = 5*u**2 - u. Let l be b(o). Solve 0 = h - 4*a + 8, h + a = -a + l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 816460 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: Let q(l) = 2*l**2 + 4*l + 6. Let h = -21121 - -21154. Calculate the smallest common multiple of h and q(-4).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*n + 522 = 0. Let g be 9*9\/(-27) + (-4 - (0 + -222)). Let r = n - g. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 203.135 and -195.\nAnswer: -39611.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 3 (c) -2\/5 (d) -15\/88 (e) -1 (f) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 13 = 1. Suppose -5*o = -2*w - 146, 4*o = z*w - w + 116. Let j(n) = -13*n + o*n - 23*n. Determine j(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, r: 1, g: 7, s: 1}. What is prob of picking 2 g?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0596 times 0.3?\nAnswer: -0.01788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.43 and -0.377.\nAnswer: -3.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -2, -93, -4, -13, -0.253?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.005 - 0.005. Let b = 83 - 40. Let p be -1 - (2 + b\/(-15)). Put -3, l, p in ascending order.\nAnswer: -3, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, j: 7, c: 4}. Give prob of sequence cjc.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -145 - -194. Suppose -8*s = -d - 87. Solve 2*h = 2*f, -3*f + 7 = 2*h + s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*(0 + 1*sqrt(112))*5*-3 + 1)**2.\nAnswer: 120*sqrt(7) + 25201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226 (base 10) to base 6.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 18. Let v(z) = w*z + 2902 - 2902. Let g(r) = r**2 + 3*r + 3. Let t(k) = -k**2 - 2*k - 2. Let p(j) = 2*g(j) + 3*t(j). What is p(v(c))?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 6) + -3 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) -1.3 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 277, 1102, 2467, 4372, 6817, 9802, 13327?\n\"Answer: 270*x**2 + 15*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2018 - -2038. What is the biggest value in k, -4, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130089 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14358137 by 151.\nAnswer: 95087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2885 * -0.23.\nAnswer: 0.066355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60530957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/2)\/(2\/(-24)). Let x be 4 - (-3)\/(-3 + 0). Solve x*k - l - z - 8 = 0, -k - 17 = 4*l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/282 and -32\/1155?\nAnswer: 108570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -1\/2, 783, -1\/3, -2, 0.9, -5\/4?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(1000)*-2)\/(sqrt(240)\/sqrt(12)))**2.\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i. Let b(j) = -12*j**2 + 8*j**2 + 3*j**2. Calculate b(m(v)).\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -72*(-30)\/(1020\/17)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 253*a**3 + 2. Let w be d(2). Is 4 + 0 + 15 + w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1423, 4972, 10645, 18442, 28363, 40408?\nAnswer: 54577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b = -26*b - 2. Let f be (1\/(5\/15))\/b. Let d be (8\/f)\/((-12)\/18). Which is smaller: d or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -126432, -252801, -379172, -505545, -631920, -758297?\n\"Answer: -m**2 - 126366*m - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**2 + 59*m - 1 + 20*m**4 - 6*m**3 - 18*m**4 - 77*m to the form v*m**3 + o*m**4 + a*m**2 + w*m + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 19018 - 9802 + 2*i - 9483.\nAnswer: i - 267","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-4)\/6) + (-4 - (-49)\/3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 1. Let q be p(3). Suppose q*j - 52 + 4 = 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 - 6. Let z = c + 34. Suppose 4*s - 394 = z*x, -2*s - 2*x = -6*x - 188. Calculate the highest common factor of s and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-340)\/6 + 20\/30. Calculate the remainder when 54 is divided by (-1 - -5)*p\/(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 9:57 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.2, -0.2, -8\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(605) - (sqrt(605) + -2 - sqrt(605))) - sqrt(605) - sqrt(605).\nAnswer: 8 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 3*r**2 - 7*r - 7. What is d(-3)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 42*t + 4 - 5 - 43*t. Let c(l) = -2*l + 10. Let v(r) = c(r) - 3*i(r). Let a be v(-6). Put -5, -3, a in increasing order.\nAnswer: -5, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1031202 (base 4) to base 8.\nAnswer: -11542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47930*i**3 + 3*i**2 - 2*i + 5232.\nAnswer: 287580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*s + 18. Let y(a) = -12*a - s*a + 6*a + 7*a - 1. Let w be y(-4). Solve w*f + f = -12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4 = -i. Suppose 2*r - 7*r = -10. Suppose q = 3*q - r. Solve i = v - q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 61, 71, 85?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**3 - 264*k**2 - 2268*k + 174960 = 0. Calculate k.\nAnswer: -54, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*k**3\/5 - 1162423*k**2\/5 + 3555879488*k - 561448860.\nAnswer: (k - 30590)**2*(19*k - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 times -0.07982?\nAnswer: -10.69588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0224778897 rounded to four dps?\nAnswer: -0.0225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*s + 24*s - 3*s**2 - 7*s - 3*s**2 - 9 + 5*s**2 in the form d*s**2 + f + h*s and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-6)*-4 + (-6)\/(-2). Let v(k) = 10*k - 28. Suppose -2 = -2*p + 6. Calculate the smallest common multiple of p and v(t).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 7\/123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*j = 2*i - 25, -2*i - 5*j = 25. Suppose 4*l + 66 = -5*v, 39 = -3*v - l - 2. Let u = i - v. Calculate the remainder when u is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/485? (a) 0.06 (b) -3\/2 (c) 3 (d) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116 and 841.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**3\/p**(-4)*p**(1\/2)\/(p*p**(-1)) assuming p is positive.\nAnswer: p**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 - 7*u**2 - u - 9. List the prime factors of w(6).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 20 + (-9 - 1) + -7.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and 9?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w = -27. Let m be w\/(-6)*32\/264. Suppose 2*r - 2 = -4. Put r, -4\/9, m in increasing order.\nAnswer: r, -4\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1 + j**2 - 30*j - 14*j**3 + 18*j + 13*j as r*j**2 + p*j**3 + b*j + w and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhh when three letters picked without replacement from {b: 2, h: 4, z: 2, n: 8}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b + 31. Let g(c) = 16*c. What is f(g(u))?\nAnswer: 32*u + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 + 214 - 2066 = 56*v + 887 for v.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/4681 and 91\/558?\nAnswer: 84258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiijniiljmilnjjnmii. What is prob of sequence illj?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + 0.1. Let t = 12 - 14. Which is the nearest to 0.1? (a) 3\/5 (b) t (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241.32094046 rounded to 3 dps?\nAnswer: 241.321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.619 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28687456891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 211.86677 and -2.8111.\nAnswer: 209.05567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 906886*x + 3627543. What is t(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 299917 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 10:18 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*1*6)**2 + 0.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 5. Let a(m) be the third derivative of 3*m**5\/20 + 7*m**2 - m. What is a(h(k))?\nAnswer: 36*k**4 + 180*k**2 + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 6642?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 10 - (-8 + 4 - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*1*1 - (2*sqrt(136)*5 - sqrt(136)))\/((5*-2*sqrt(48) + sqrt(48))\/sqrt(6)).\nAnswer: 8*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*(-260)\/50*470\/517.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/9 - 31400*l\/3 - 62792.\nAnswer: -2*(l + 6)*(l + 47094)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**4\/12 + s**3 + 5*s**2\/2 - s. Suppose -12*n = -8*n + 20. What is v(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1402104\/(-2585) - -542)\/((-22)\/30 + 1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -378 divided by -126.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*j + 3 + 4 - 26*j + 2*j**3 - j**2 to o*j**3 + f*j**2 + b*j + m and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*m - 78, 0 = 3*m - 4*h + h - 54. Suppose -4*o - y = -2*y + 1025, 3*o + 2*y + 766 = 0. Let f = o - -253. Put m, 5, f in ascending order.\nAnswer: f, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/34)\/((-12)\/16).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 4*f - 2*x, -2*f + x + 68 = 3*x. Let q = f + -13. Calculate the smallest common multiple of 16 and q.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4*35\/((-19600)\/(-84)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 9*l - 131. Let r(p) = 11*p + 390. Let w be r(-34). Let o be c(w). Solve -2*t = 3*x + 2 + 16, 0 = -x - 3*t - o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1) + (-15 - -13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -1\/4 (b) -14 (c) -5\/3 (d) 0.0217 (e) 0.4 (f) -0.082\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 471.9909m?\nAnswer: 471990900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.6. Suppose 0 = -0*q + 3*q - 15. What is the biggest value in d, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1129007, 2258016, 3387025?\nAnswer: 4516034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3080*g**2*p**2*z - 19*g*p**2*z + 18*g*p**2 - 3*z wrt g.\nAnswer: -6160*p**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 11*f**3 + 4*f**2 - 3*f + 6. Let i be a(-4). Let h = i - -193. What are the prime factors of (h\/(-12))\/(2\/8)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r - 12*r - 11971*r**2 + 19*r.\nAnswer: -11971*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 2:48 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 34. Solve 3*m = -m + p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(110) - (-3*(sqrt(110) - (sqrt(110) + 1*sqrt(110)) - sqrt(110)) - sqrt(110)))\/(sqrt(80)\/sqrt(32)))**2 + 2)*-4.\nAnswer: -2844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 4*c - 6*c + 0*c - 5.\nAnswer: -7*c - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/32*6\/10.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 18*l**2 - 17*l + 8. Let m(n) = -9*n + 4. Let q(i) = 6*g(i) + 26*m(i). Differentiate q(o) wrt o.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -1. Let c(s) = s**3 - 4*s**2 - 5*s + 1. Let j be c(t). Let k(q) = q**2 + 6*q - 5. Let u be k(-7). Solve -u*a = -a + j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -0.1, 485, 0.5, 3\/2 in increasing order.\nAnswer: -0.1, 1\/4, 0.5, 3\/2, 485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388441 is divided by 32369?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((15\/30)\/((-2)\/(-3)))\/(12\/8)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40214 + 131961. What are the prime factors of t?\nAnswer: 23, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**4 - 5*q**4 + 0*q**4)*(57813 - 11*q - 57815 - 32*q).\nAnswer: 86*q**5 + 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -2\/9, -1\/153, -1?\nAnswer: -1\/153","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 41*u - 1400. Let d be n(36). Solve 12*s + 7*s = -d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*z = 218 + 112 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -163c1b5?\nAnswer: -163c1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 86 = 3*u, 6*u + d = 3*u + 82. Suppose -u = -8*i + 4*i. What is the highest common factor of i and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-42)*180\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2*b**2 - b**4 + 3*b + 3*b - 10*b - b**4 to the form o*b + p + l*b**4 + z*b**3 + c*b**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 155*g + 7. What is the units digit of x(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -543100 rounded to the nearest ten thousand?\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 672 and 252.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 9. Let t be p(10). Let i = t - 17. What is the highest common divisor of i and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*r - 4 = 0, 2*r = -5*q + r + 20. Let z = 273.3 - 276.3. Which is the nearest to 1? (a) q (b) z (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nitnxkitxxixxxitii. Give prob of sequence xnt.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/7, 17, -2, 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82349927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 10 = 3*d + 4*j, -2*j = 5*d + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006417 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 856 and 510604.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 126705530951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19061674 and 4?\nAnswer: 38123348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1691 and -0.3.\nAnswer: -0.05073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179627, 179678, 179763, 179882, 180035, 180222?\nAnswer: 180443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6726 + 6754. Let y(m) = 17*m - 10. Let s be y(8). Calculate the greatest common factor of q and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230615 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 d(r) = r**2 + 10*r - 12. Let o be d(-9). Let a = o + 21. Suppose a = -5*g + 19 + 166. What are the prime factors of g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 6*r**2 + 2*r + 14. Let w be b(-6). Calculate the highest common divisor of w and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 v when four letters picked without replacement from wkvwhwvhxwhkwkq.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f - 6. Let b be a(2). What is the derivative of 47*s**4 + b*s - 50*s**4 + 0*s + 11 wrt s?\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 24 = 5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53.936 + 54. Let n = p - 3.064. Which is the fourth smallest value? (a) -5 (b) 1\/8 (c) -2\/3 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 16 = -r. Let g be 4\/(-26) - (-123)\/r. Suppose 40 = g*p - 23. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222466 divided by 1?\nAnswer: -222466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51663449, -51663473, -51663523, -51663605, -51663725, -51663889, -51664103, -51664373?\nAnswer: -51664705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 - -433. Suppose -p = -5*u - 2*g, u + 495 = 6*u + 4*g. Suppose 45*x = 53*x - 200. Calculate the remainder when u is divided by x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 - -1853?\nAnswer: 1836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-18))\/(q**37\/q)*q**(2\/81)*q\/q**(-1))**1 assuming q is positive.\nAnswer: q**(-1213\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - u + 5. Let g be w(0). Suppose g*a = -4*o - 119 - 985, -664 = 3*a + 2*o. Let r = -94 - a. What is the greatest common divisor of 26 and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1088, -4352, -9792, -17408, -27200?\n\"Answer: -1088*a**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/5? (a) 448 (b) -1\/4 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2037 - -2040. Put 2, u, 5, -52 in decreasing order.\nAnswer: 5, u, 2, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(1*(-39)\/(-6)). Let o = 10\/13 + c. Let w = 49\/39 - o. What is the second smallest value in w, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -363, -3, -31.\nAnswer: -363, -31, -9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*l = -136 - 194, 4*l - 791 = -5*h. Let s = h + -107. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6901.\nAnswer: 67, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 10?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2071 + -2067. Solve -h = -56*d + 58*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 - 11022?\nAnswer: -11200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 7*u + 382 = 5*b, 3*u - 5*b - 422 = 0. Let d = -136 + u. Let g(j) = -11*j - 2. Let n(k) = 780*k + 143. Give d*n(s) - 143*g(s).\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/(62\/(-310)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 649397753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -450.8 - -441. Let y = 5.8 + v. Which is the nearest to 0.1? (a) -1\/6 (b) -3 (c) y (d) -9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -903*(-7 + 6 + 2). What is k rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3419862s to microseconds.\nAnswer: 341986.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 75 = 3*h - 84, -5*x + 4*h - 18 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 1. Suppose 3*m = 4 - 1. Let p(n) = n**3. Suppose 3*s - 5 = -2*s. Determine m*o(u) + s*p(u).\nAnswer: u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**5\/60 + p**4\/8 - 7*p**3\/6 + 3*p**2\/2 + 3*p. Let t(g) be the first derivative of r(g). What is the units digit of t(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 1, j: 1, t: 1, o: 1}. What is prob of picking 1 o and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**16\/(m\/(m\/(m**(12\/5)\/m)*m)) assuming m is positive.\nAnswer: m**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-134)\/26 + -1 - (-432)\/2808.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x. Let d be z(1). Let b = d + -11. Suppose -4 = 4*j + 16. Sort j, b, 0.\nAnswer: j, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a decade in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3775 + -2367. Suppose -18*y + 50*y = k. What is the highest common divisor of y and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(36\/(-32))*21\/(-14). Let y be -4*(-6 + 1 + (-36)\/(-8)). Sort -2, y, -7, q in ascending order.\nAnswer: -7, q, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.23? (a) -15 (b) 0.1 (c) -2\/29 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 2\/5 (c) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 393171*q**3 + 249164?\nAnswer: 1179513*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 18, -4, 2 in increasing order.\nAnswer: -4, -3, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 2*x**3\/3 + 10*x. Let j(z) be the first derivative of -z**2 - 21*z + 98. Give w(j(d)).\nAnswer: -8*d - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -111405241 (base 6) in base 10?\nAnswer: -2038489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -985453188934 - -985449743937.93400164. Let r = w - -3444996. Let i = r + 0.066. What is i rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**4 + 5227148*d**2 + 8427124?\nAnswer: 8*d**3 + 10454296*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50931 is divided by 128?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.09 + -0.45. Round m to 1 decimal place.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(1\/4)*s**(-7))**42)**14)**(-41) assuming s is positive.\nAnswer: s**162729","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-803 - 22*k + 803)*(52*k**4 - 3 - 42*k**4 + 1).\nAnswer: -220*k**5 + 44*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 861 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 648, 4, -1, 3, 12 in decreasing order.\nAnswer: 648, 12, 6, 4, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*2\/((-10)\/3). Suppose 3 + 7 = 5*j. Suppose -3*p - n = -j, -3*p - 5*n - 10 = -n. Which is greater: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/162 - (-5350)\/18. Suppose -4*g + 1167 = 5*x, m = g + x + 2*x. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37989, -75903, -113813, -151719, -189621, -227519, -265413?\nAnswer: -303303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52189877 rounded to the nearest ten thousand?\nAnswer: 52190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531559759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**2)\/i)\/i)**(3\/4)\/(i**2*i)**(1\/15) assuming i is positive.\nAnswer: i**(-49\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 15*f - 206. Calculate l(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10 and -1.95?\nAnswer: 8.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*q - 2757 = -5*m + 121*q, -2*m = -4*q - 1116. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 10*j - 9. Let f be 6\/((10\/(-45))\/((-1)\/(-3))). Calculate z(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 8*d**2 + 3*d - 25. What is l(-4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*l = -0*f - 36, f = -5*l. Suppose 151 + 449 = -f*m. Let t be 29\/(-29) - 3*m. Calculate the highest common divisor of t and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -5, 3\/49, 0, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 10*p - 8. Let n be y(-11). Suppose n*v - 106 = -4*r, 4*r - 8*v = -3*v + 90. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 s when four letters picked without replacement from {s: 1, g: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-19)\/((-133)\/(-70)) + -9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 182*w + 525*w + 683*w + 81*w + 92*w to f + q*w and give q.\nAnswer: 1563","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssqssoqooooo. Give prob of picking 2 s and 1 o.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z**2 - 10*z**2 + 1104 - 1091 + 5*z**2 - 219*z as o*z + s + p*z**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 2. Suppose 0 = -0*l + l - p. Suppose 15 = -2*s + 5. Sort s, l, -4 in increasing order.\nAnswer: s, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 73*t - 13. Let x(s) = -s - 3. Determine l(h) - 4*x(h).\nAnswer: h**2 - 69*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 11:14 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 - 64*k**4 + k**5 + 62*k**4 - 2*k**3.\nAnswer: k**3*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 7*q**5\/20 - q**3\/3 - q**2 - 86*q. Let c(z) = -z**3 + z + 1. What is 2*c(r) + p(r)?\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 361826 to the power of 1\/2, to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4 + 6*g**3 - 4*g**2.\nAnswer: -2*g**2*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 3:49 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -182, -4, 30\/29, 3, 0.06 in decreasing order.\nAnswer: 3, 30\/29, 0.06, -4, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 + 265. Is j - 8 - (-1 - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5937825783 a multiple of 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 4*b + 6. What is r(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2023\/17)\/(-17) + 10. Let j(k) = k - 7. Let g be j(6). Sort w, 7, 5, g in increasing order.\nAnswer: g, w, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9146224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 575923?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-25)*(26 - -6). Let i = t - 234\/175. Which is greater: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8390 + -4749. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 1246?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4935303 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 5*s = -s + 12, -18 = -3*y - 3*s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 8:58 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 1270.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 614*c**3 - 330*c**3 - 295*c**3.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2250.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47419 is divided by 1016?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 4\/12 - 10766\/(-3). What is the highest common divisor of 97 and o?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 12*r - 123. Determine z(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, l: 1, k: 7, g: 4}. What is prob of sequence lvg?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 3123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 6 (b) -0.1 (c) 3\/8 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.96 + 14.36. Let n = 13 - g. Sort 3\/2, n, 2.\nAnswer: n, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.011 and -2664393.\nAnswer: -2664392.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29988 is divided by 9882.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(5))**2 + -3 - (sqrt(45) + 5).\nAnswer: -7*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2076 - -2075.5. Which is the second smallest value? (a) -0.1 (b) 8\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48888797, 97777596, 146666395, 195555194, 244443993?\nAnswer: 293332792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 - -38. Which is the closest to 1? (a) 5 (b) -0.1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 5*k, 18 = f - 4*k - 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -328759*i**5 + 2*i**4 + 4*i**3 + 13*i**2 + 235382.\nAnswer: -19725540*i**2 + 48*i + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 3:06 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = -6*c + 29 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -187d9 - -18?\nAnswer: -187c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = v - 1, 2*i - 84431579 = -4*v - 84431589 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f + f + 36*f + 1 - 1.\nAnswer: 57*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 27 = 3*c, 17447 = 5*y + 17487 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -8*g - 1. Calculate the remainder when q(-21) is divided by 46.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112520158 and 1737.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**2 + 6*b - 5. Let a(z) = -12 + 3*z + 2*z**2 + 14 - 5. Let j(p) = -5*a(p) + 3*s(p). Find the second derivative of j(q) wrt q.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 750\/70 + (-4)\/(-14). Let s(u) = 13*u + 15. Let c(g) = -16*g - 16. Let b(f) = 5*c(f) + 6*s(f). Calculate b(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(-1400)*0)\/(-68).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 1:43 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -478647.691 + 477727. Let t = q - -922. What is t rounded to 2 dps?\nAnswer: 1.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79336 by 188.\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 10, 12, 16?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221608850 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/480*-2)\/(236\/(-295))*2.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -173.97 + 174. Let y = -85 + 84.57. Let u = v + y. Which is the biggest value? (a) -4 (b) u (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*((-182)\/(-147))\/((-80)\/(-30))?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 8:32 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/7, -4\/5, 119\/4, -1, -2, 90\/43, 2\/9?\nAnswer: 90\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 4, 4*x + 4*t - 10965 = 149039. Suppose 0 = 2*u - 3*u - x. Round u to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l = 2112 + 58. Suppose -l*g**3 + 4*g**2 + 64*g**3 + 17*g**5 - 4*g**4 - 19*g**5 = 0. Calculate g.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) -0.4 (c) 4 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**3 - 8*j**2 - 3*j - 1. Let r be (-8)\/3*30\/(-20). Let n(h) = 6*h**3 - 9*h**2 - 4*h - 1. Let g(k) = r*n(k) - 5*m(k). Calculate g(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -51, 4, 8 in descending order.\nAnswer: 8, 4, -3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/3 + (-2)\/(-1). Suppose -12 = -0*w + x*w. Let n = -2270\/9 + 252. What is the closest to 1\/2 in 0, w, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-2) + -1 + 21. Let o = 13 - y. What is the units digit of (14\/o)\/((-2)\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.003 + 6.747. Let k = -0.85 + l. Round k to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -301 and -864?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 10. What is the smallest common multiple of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (54\/(-45))\/((-9)\/90)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(2\/6*1). Calculate the remainder when ((-26)\/(-26))\/((-1 + -1)\/(-58)) is divided by (0 - (-10)\/m)*-3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, q: 4, j: 2, d: 2, o: 3}. What is prob of picking 2 q, 1 d, and 1 s?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 866*y - 9541. Calculate m(11).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 974, 755, 540, 329, 122?\n\"Answer: 2*v**2 - 225*v + 1197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2730 a factor of 155358840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16 - 308\/21 - 5\/6 - 21\/(-2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310 (base 6) to base 8.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -50.\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 7, 3, -5 in descending order.\nAnswer: 7, 3, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -3\/8*v**4 - 3\/40*v**5 + 0 + 0*v**3 + 0*v**2 - 4*v. Factor m(q).\nAnswer: -3*q**2*(q + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*w + 8*w - 581*w**3 - 48*w + 1 + 12*w.\nAnswer: -581*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 1. Suppose h + 18 = 5*a - 2, 0 = -2*h + 3*a - 5. Suppose -4*c = -h*j - 25, -5 = -c - 5*j - 30. Solve 0*s + d = 2*s, c = o*d for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -20*u - 1198. Calculate d(-48).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, b: 3, w: 2, t: 3, c: 3, a: 1}. Give prob of picking 1 c, 1 w, and 1 z.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21713630 or -1\/2?\nAnswer: -21713630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-3))\/((10\/(-35))\/(156\/(-91))). Factor -1\/2 + 5\/6*k**s - 7\/6*k - 1\/3*k**2 + 1\/6*k**5 + k**3.\nAnswer: (k - 1)*(k + 1)**3*(k + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j - 6. Let i be b(5). Suppose u + i = 3*r, u = -r + 4*u + 18. Let f(n) = n**3 - 4*n**2 + 2*n - 4. Determine f(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -31. Let v be 179\/7 - r\/(-14). Calculate the greatest common factor of v and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13260\/32 + (-33)\/88. Let s = -371 + h. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1422*c**2 + 15 - 742*c**2 - 716*c**2)*(0 - 3 + 1) as f*c + b*c**2 + v and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -92, -83, -72, -59?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212.1 less than -114?\nAnswer: -1326.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 50, 0, -96, -232, -402?\n\"Answer: l**3 - 29*l**2 + 30*l + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * -5.4719\nAnswer: 4.37752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 358801886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.362 and -22.\nAnswer: -51.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p + 17*p = 7. Suppose 7*m = p + 14. Sort m, -13, -4, 2.\nAnswer: -13, -4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 1:47 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hshsehsssssssehhh. What is prob of picking 3 h and 1 s?\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-2)*483\/46*10*7\/(-84).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1673121?\nAnswer: 3, 19, 149, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - x. Let p(f) = 29*f**2 - 5*f. Let d(y) = y**2 - 59*y + 797. Let z be d(38). Give z*p(l) + 5*r(l).\nAnswer: -34*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 63 = 201. Suppose -n - 56 = -3*b. Let r(w) = w**3 - w + 6. Let x be r(0). Calculate the highest common divisor of x and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**3 - 2*j**3 - 2*j**3 + (-3 - 3 + 4)*(-j**3 + 2*j**2 - 2*j**2) in the form p + b*j**2 + s*j + o*j**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -22 + 28 + -12\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2047769 and 2?\nAnswer: 4095538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/5)*i\/(i*i**(-5)*i))\/(i**(1\/4)\/(i*i*i*i**(2\/25))))\/((i**(1\/4))**(3\/40)*i**(-3\/8)*i\/(i\/i**7)) assuming i is positive.\nAnswer: i**(-11\/800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 1. Let b be u(2). Let q(k) = -1 - 3*k**2 + 2*k**2 + 30*k + 2 - 29*k. What is q(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11 + (-2)\/(8\/4). Calculate the greatest common factor of 30 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 874590 to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 4*d + 15*d.\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 3*p - 4. Let d be o(4). Find the second derivative of d*f**3 + 2*f**3 - 6*f - f**3 + 0*f**3 wrt f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ab016 - 3?\nAnswer: ab013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**31*x*((x\/(x\/(x**(-5\/7)\/x)))\/x)\/x)\/(x*x\/x**(4\/3)*x**(-32)) assuming x is positive.\nAnswer: x**(1252\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.044 and 0.4?\nAnswer: 4.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 643 (base 9) to base 4\nAnswer: 20031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4, 12, 24, 40, 60, 84?\n\"Answer: 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-104))\/(6\/(10\/5))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-four fifths of a millennium?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32\/29 - -33\/29. Calculate the common denominator of b and 16\/89.\nAnswer: 2581","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9034 + 9139. Calculate the smallest common multiple of r and 1841.\nAnswer: 27615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 times 7.4\nAnswer: 125.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20.4 (b) -0.1 (c) -127\/6 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 795527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12153527909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-321 - (2 + 0))*(-2 - (-15 + 14)). Suppose 5*t - 129 + 34 = 0. What is the greatest common factor of d and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 9. Let b(s) = 3*s + 26. Let r(f) = -3*b(f) - 8*m(f). Let o = 307 - 291. What is the least common multiple of o and r(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 641, 2524, 5643, 9998?\n\"Answer: 618*w**2 + 29*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(125) + (3 + sqrt(125))**2 + (-3*sqrt(80))**2 - (sqrt(40)\/sqrt(8) + -1 - (sqrt(5) + sqrt(10)\/sqrt(72)))).\nAnswer: -5130 - 211*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -213032 + 11?\nAnswer: -213021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50550.\nAnswer: 2, 3, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - ((4 - 4) + -5) - -4. Suppose 2*z + 3*c = -2*c + 55, 3*z = -4*c + 65. Calculate the highest common divisor of z and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*r - 11458 = 349*r + 103*r for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3131 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: Which is the closest to 7? (a) -2 (b) 3\/838 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1619618.\nAnswer: 2, 7, 11, 13, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 9) in base 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -4)*(-81)\/(-45). Suppose -2*m = -6*m + 5*t + 15, 3*t = -5*m - w. Are 1 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212182.708 rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.007 * 29024\nAnswer: 203.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -68 + 45 + 70.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8992 + -0.1008. Is v smaller than 947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 (base 16) to base 4\nAnswer: -1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 10:03 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) + (sqrt(150) - (sqrt(150) + 4*3*sqrt(150))) + sqrt(150))\/sqrt(3))\/(sqrt(80)\/sqrt(32)*2).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15136 - -15463. What is the remainder when u is divided by (66 - -2) + (-4)\/2?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**2 + 0*p**2 - 2*p**2)*(3 + 2*p - 3) + 12*p**3 + 10*p**3 + 2 - 4 to m*p + i*p**2 + c + r*p**3 and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9468*s**2 + 1458 + 115*s**4 - 450*s**3 - 7128*s - 17*s**4 - 1398*s**3.\nAnswer: 2*(s - 9)**2*(7*s - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.50515 and -328.1.\nAnswer: 165.739715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -4\/7 (c) 0.5 (d) 0.04 (e) 3 (f) -2.77 (g) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 9.831 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 407\nAnswer: -20.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26544 - -43906. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/15986 and -25\/2351.\nAnswer: 37583086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 214514117 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 7 = 19. Suppose -4*n + j = 3*z - 5, 0 = 4*z - n - 54. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a + 4 = -k, -2*k = 5*a + 8. Suppose a*m = 3*m. Let w(x) = -x**2 + x + 4. Let i be w(m). Solve 1 = 3*o + i for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -8*r**3 - 2. Let i(k) = -1. Let y(p) = 4*i(p) - n(p). What is the derivative of y(u) wrt u?\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*123\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3643467.\nAnswer: 3, 1214489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 10*s**3 - 3*s**2 + 3*s - 4. Suppose -5*h - 1 = -11. List the prime factors of g(h).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466026.\nAnswer: 2, 3, 11, 23, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-6)*((-1360)\/(-765) - (5 + -1)). What is the fifth smallest value in m, 0.1, -2\/15, -1, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29952, -30022, -30088, -30150, -30208, -30262?\nAnswer: -30312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9578, 38307, 86186, 153215, 239394, 344723?\nAnswer: 469202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 10*f**2 + f - 7. Let t be z(10). Suppose -t*n + b = -102, 0 = -4*n - 5*b - 39 + 156. What are the prime factors of n?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 86*h**2 + h*k + 43*k wrt h?\nAnswer: 172*h + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 548644961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 60712, 242856, 546430, 971434, 1517868, 2185732?\n\"Answer: 60715*y**2 - y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5978093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -67. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mufmujjmjmoomjutmuo. What is prob of picking 3 u?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 131. Determine w(-30).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (13 - 16)*1*-1. Suppose -g = 5*z - 49 - 8, l*z + 320 = 4*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2. Let j(r) = r**2 - 9*r - 108. Let y be j(-7). Let u(x) be the second derivative of 1\/4*x**y + 0*x**2 + 0*x**3 + 0 + 8*x. Determine u(g(z)).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28285198.\nAnswer: 2, 3533, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o - 68. Let k be z(16). Let u be (k\/10)\/(15\/(-30)). Which is the closest to -0.1? (a) 14 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -300, -371, -428, -465, -476, -455, -396?\n\"Answer: n**3 + n**2 - 81*n - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 100 = 5*c, 0*c + 8 = -2*c. Does 4 divide ((-12)\/4 + g\/(-16))*-160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -3 + -2)\/(-2). Let i be 75\/50*(-1 - -9)\/4. Let a be (0\/b)\/3 - 32\/i. Is -11 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-24\/11)*s**24*(s**3)**(8\/5))**(-7\/4) assuming s is positive.\nAnswer: s**(-2562\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-7*(-60)\/(-14). Let t be (54\/z - -1)\/((-4)\/10). Solve t*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 48 = 5*t, -4*i - i + t - 80 = 0. Let k be 2\/i + 103\/(-8). Which is greater: k or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-231)*(0 + -6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-4)\/8*1). Suppose x*r = r - 5. What is the units digit of (2\/r)\/(2\/(-40))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1516490 at most -1516490?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b**3 + 3*b**2 + 70*b - 8. Let j(a) = 4*a**3 - 2*a**2 - 70*a + 6. Determine 4*j(s) + 3*z(s).\nAnswer: s**3 + s**2 - 70*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 494*g**2 - 20*g - 4. Let i(t) = -165*t**2 + 6*t + 1. Calculate 10*i(w) + 3*m(w).\nAnswer: -168*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 471411630.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 757 is divided by 197.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1415604248 to the nearest integer?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105118 and 54736?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*a + 2. Suppose -s + 5*s = -20. What are the prime factors of (a + s\/2)*-12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 435826132?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -24355691938 take away -12665?\nAnswer: -24355679273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 8973179381.52?\nAnswer: -8973179381.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2018940)\/(-499928))\/(20\/(-26)).\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 645 greater than -201\/128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83135.\nAnswer: 5, 13, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjztzpptzzjpptttzz. What is prob of picking 1 z and 1 t?\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 3) + 1 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 + 0*c**2 + 6*c**2 + 4*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6831606 to the power of 1\/3, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 10. Let n be i\/8*(-16)\/(-10). What is the nearest to n in 5, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + j = 211, 5*n - 3*j + 0*j - 555 = 0. Let u = n + -40. Are u and 68 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12042791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.684373 millilitres to litres.\nAnswer: 0.008684373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -2026?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 - 21 + 25)*(-1 - 2 + 1)*(-2*x**2 + x**2 + 4*x**2).\nAnswer: -312*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 9*m**2 + 3*m - 12. Suppose 3*l = -5 + 32. Is 10 a factor of w(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z - z - 4*z - 3. Let b be m(-5). Suppose -4*s + u - 4 = s, -b*s + 1 = -3*u. Is -1 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*j = -4. Let c = j + 7. What is the derivative of -b**3 + 0 - c + 0 wrt b?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 5*p**2 - 4*p + 6. Suppose -4*k = -0*k - 16. Let y be q(k). Suppose -y*u = -2*u - 8. Are u and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**4 - 33*o**3 + 99*o**2 - 111*o + 42 = 0.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 523818, 1047782, 1571892, 2096148?\n\"Answer: 73*k**2 + 523745*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-2) + ((-11)\/14)\/(-1). What is the biggest value in -0.1, o, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-14)*-2)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 4*w**2 - 3*w - 3. Let h be z(5). Let x = h - 5. Calculate the remainder when (-7)\/(-2*4\/8) is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8148*63.\nAnswer: 513324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16684, -16670, -16662, -16672, -16712, -16794?\nAnswer: -16930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -27*l**2 + 80*l - 392. Let x(j) = -30*j**2 + 81*j - 393. Let b(y) = -9*h(y) + 8*x(y). Let b(z) = 0. Calculate z.\nAnswer: 8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 47084 + 8344 = 0. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218392355 to the power of 1\/3, to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/1008*42522 + (-16)\/14. Which is greater: 336 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159231?\nAnswer: 3, 53077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4 + 2*sqrt(192)*5 + -1 + -2 + 3)**2 + 3.\nAnswer: -640*sqrt(3) + 19222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 33027608 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 8\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 4, 41, 3 in decreasing order.\nAnswer: 41, 4, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**2 - 575*d + 12. Give r(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -102, -230, -410, -642, -926?\nAnswer: -1262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*h + 12. Let l be (6 - h) + 0\/(-1). Let m = -8 + l. Let s(p) = p + 7. What is s(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = 110 + 18. Suppose -4*r + 47 = -5*w, -r + 2*w = -4*r + 41. Suppose -9*p - k = -r*p. Solve -4*m + 7*m + 3*x + 3 = 0, 4*x - 4 = -p*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 3)*(1 + 3 + 2) + 4 - 4 + 2 - 2 + 1 + 2 + (-3 - 1 + 3)*(-4 + 4 + 2) + 1 + 0 + 0)*(-1 - 2*z + 1).\nAnswer: 32*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 881382, 881337, 881264, 881163?\n\"Answer: -14*b**2 - 3*b + 881399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 1. Suppose 27*y - 117 = 18*y. Let i(m) = 13 + y + 15 - 30 + m. Determine -6*c(a) + i(a).\nAnswer: a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 3*j**3 + 0 - 2*j**3 + 5*j**2 - 1. Let b be p(-5). Suppose 5*f = b*f + 2. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -7*l - 5. Let g(h) = -15*h - 11. Give -4*g(k) + 9*q(k).\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17*((-1 - -2) + 1). Suppose -3*q + 26 = 2*d - 46, q - i = -d. Let m be d\/6*(1 + 0). Solve -2*y = -m*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3950*k**2 - 1627*k**2 - 2323*k**2 + 7*k**3.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16936.8 * 128.\nAnswer: -2167910.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1511070.\nAnswer: 2, 3, 5, 11, 19, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4)*(-2 - -2). Let c(z) = -2*z + 9. Let h be c(9). Let b be (-3)\/h*0 - -12. Solve -v + 6 = 2*g + v, 4*g - 2*v - b = f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28755, 28761, 28787, 28839, 28923, 29045, 29211?\nAnswer: 29427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-17 - -24) + 0 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -207 + 1260?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 1 (c) -2\/497\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*k - 19*k + 9*k + (1 - 3 + 6)*(3 + 2*k - 3) + (6 - 6 - 4*k)*(3 - 5 + 0).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 78916.8 litres in millilitres?\nAnswer: 78916800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 3\/17*d**2 + 8\/17*d**3 - 4\/17*d + 58 + 7\/34*d**4. Factor r(z).\nAnswer: 2*(z + 1)**2*(7*z - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-2 + 20\/12)\/(((-91)\/(-117))\/7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**3 - 606*m**2 + 712*m + 892. Give d(120).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 4*q - 32, 38*o = 35*o - 3*q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - b**2 - 3*b - 6. Let u(n) = -2*n**3 + 21*n**2 + 10*n + 6. Let v be u(11). Is i(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - d**2 - d**3)*(11158*d**2 + 3*d - 3*d - 4970*d**2).\nAnswer: -6188*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2570733625 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 2)*(-4)\/5. Suppose -h - 3 = -2*n, 2 = 3*h + n + 4*n. Let l(z) = z**2. Let p be l(h). Which is greater: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 6*y - 7. Let w be x(3). Let n(o) = 39*o - o**w - 47*o + 7 - 2. Let s(u) = -11*u**2 + 1. Let m be s(1). What is n(m)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -11 - 1 - (28 - -33)) + 5.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*z**5 - z**2 + 192*z wrt z?\nAnswer: 700*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41530381 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -30 (b) -0.2 (c) -2\/631\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 1\/(2\/8). Suppose 3*g - u = -g. Solve -7 - g = -2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 224430 + -224790. Let n be (-4)\/2 + 2 - 359. Which is smaller: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 2*z - 2*z)*(534*z - 99*z + 497*z) + 3*z**3 + 0*z**3 + 0*z**3.\nAnswer: 1867*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 3*d - 13*x, -42 + 63 = -5*d + 8*x + 3*x - 10*x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3466747347.\nAnswer: 3, 7, 7237, 22811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33303203 (base 4) in base 14?\nAnswer: 19843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -4*n**3 + 2404*n**2 - 2400*n = 0?\nAnswer: 0, 1, 600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -38\/3, 6, 12, -0.5?\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 5 + 44\/2. Let n(s) be the second derivative of -7*s**3\/3 + 16*s**2 - 42*s. Let w be n(0). What is the greatest common factor of w and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010111 (base 2) to base 6.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by (-5)\/60*3 + (-351)\/(-12).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 16590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**3 + 5. Let i(z) = 2*z**3 - 2. Give -2*a(o) - 5*i(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 10:52 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1226?\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -1, -10, 5, 0.06?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 82 + 96, 3*c - 4*m = 888028. Round c to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**2\/9 + 668*f\/9 - 1352\/9 = 0. Calculate f.\nAnswer: -169, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*f - 17, -2 = i + 1. Suppose 3*r = -5*c + 47, -2*r - 5*c - 48 = -f*r. Suppose h = r + 15. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374676*f = -374680*f + 8*x + 28, 5*f = -5*x + 50 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -9 - 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 750?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u - 1. Let n(o) be the third derivative of o**6\/60 + o**5\/15 + o**4\/6 + 2*o**3\/3 + 27*o**2 + 4. Let g be n(-2). Give i(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**4. Let v(x) = 46*x**4 + 6*x**3 - 8*x**2. Let h(u) = 2*v(u) - 44*w(u). What is t in h(t) = 0?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 - 23 + r**2 + r + 36 + 2*r**3 to the form a + m*r + h*r**3 + f*r**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 125 + -12. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhcxfvfexee. Give prob of sequence xc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(2448) + (sqrt(204) + -2*sqrt(204))\/sqrt(12) - (sqrt(85) - -6*(sqrt(85) - 2*sqrt(85)))\/(1*sqrt(720)).\nAnswer: -439*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, u: 5}. Give prob of sequence uyuu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 582665?\nAnswer: 5, 116533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x - 2. Let u(q) be the second derivative of -q + 1\/3*q**3 + 1\/2*q**2 - 82. Calculate -7*n(o) - 6*u(o).\nAnswer: 2*o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4903 or -4899?\nAnswer: -4903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5 = -u, -4*u = 4*o + 8 - 28. Suppose 0 = u*c - 0*t + t - 35, 3*c - 3 = 3*t. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0632 and -0.4?\nAnswer: 0.02528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g*o + 678*g - 304*o + 3 wrt g?\nAnswer: 2*o + 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.035 times -0.5\nAnswer: 0.0175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2 - 11*s + 10*s + 0*s. Let l(z) = -2*z**3 + 2*z**2 - 1. Let b be l(-1). Suppose -5*k + b*p - 30 = 0, -2*p - 2 = k + 3*k. Determine x(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 354 and 2006?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -21.5. Put -12, l, 5 in increasing order.\nAnswer: -12, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 6*k**2 + 1469*k - 4435. Calculate d(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 2*q**3 + 5*q)*(7 + 4 - 4)*(-25 + 19 + 51).\nAnswer: 630*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a century in decades?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7*k - 9. Let f be (-5)\/(-10) - (1 - 3\/(-2)). Let b be o(f). Let a be (-16)\/120*b\/(-3). What is the nearest to 0 in 5, a, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 235.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -14434*g. Let c(r) = -12*r**2. Determine c(o(k)).\nAnswer: -2500084272*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28458, 2, 13.\nAnswer: 2, 13, 28458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 529122 and 1683570.\nAnswer: 18519270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4 + 14*k**3 - 12*k**2 = 0. What is k?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d - 2*d - d - 4*d - 2 to the form n*d + c and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvncccxcccvbbxcccb. What is prob of picking 2 b and 1 v?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -8.4, -0.28, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*u = -18027 - 42006 + 8863. Calculate the highest common divisor of 102 and u.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/v**(-2\/3))))**(2\/3)\/(v**4\/v*v*v**(-1)) assuming v is positive.\nAnswer: v**(-17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2. Let t(z) = 0*z + 12*z - 5*z + 11*z + 3 + 0*z. Let r be -8 - (-2)\/1 - -2. Let j(v) = -18*v - 4. Let f(p) = r*t(p) - 3*j(p). Determine x(f(d)).\nAnswer: -324*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 55*y**2 - 128*y - 3989. What is b(-54)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-30))\/((1080\/(-27))\/(-40))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/4*k**4 - 141\/2*k**3 + 0 + 0*k + 93\/4*k**2.\nAnswer: 3*k**2*(k - 31)*(3*k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a millimeter in micrometers?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/3*(-18)\/90. What is the nearest to -2\/7 in -1, -0.5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 19654.\nAnswer: -9\/19654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - 2. Which is the second smallest value? (a) 2 (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -5*r + 189. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*d - 6. Suppose -d*z + 275 = 2*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6\/51 - 15960\/(-170)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 467080 and 1068.\nAnswer: 124710360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, 2\/17, 9\/245, 4\/11 in decreasing order.\nAnswer: 6\/7, 4\/11, 2\/17, 9\/245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -40. Suppose -3*h - 180 = -4*h. What is the greatest common factor of d and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -447*q**2 + 16*q - 27. What is x(3)?\nAnswer: -4002","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*l - 19 + 19)*(1 - 3 + 4) + 4*l - l - 2*l + 2*l + 3*l - 2*l - 8 + 8 - l.\nAnswer: 27*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -61436, -122878, -184320?\n\"Answer: -61442*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 u when four letters picked without replacement from hhuuuuu?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4212.4 + 4212.4. Let f = -57 + 56. Let v be 364\/10 - 4\/10. What is the closest to 0 in f, v, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31795814 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 367889284*n**3 - 927648199*n**2 wrt n?\nAnswer: 2207335704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (232\/(-168))\/(4\/(-1872)). Let w = h + -1309\/2. Calculate the common denominator of w and ((-1065)\/36)\/5 - 2.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i - 9*i + 9*i + 37 to p*i + s and give s.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.28 + 2.12. Let o = -2 + y. What is the closest to 2\/3 in -0.4, o, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**4 + 2840*r**3 - 16*r**2 - 11360*r = 0. Calculate r.\nAnswer: -710, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -174edd7 - -12?\nAnswer: -174edc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 11:32 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1371 and -26419581.484.\nAnswer: -26419581.6211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -4, 5, 6, -9.\nAnswer: -27, -9, -4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.45 - 420.\nAnswer: -409.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 4*p - 74. What are the prime factors of p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b = -5*b + 70. Let k be (b\/20)\/(1\/4). What is the nearest to 3 in 1\/3, 0, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -6, -2\/3, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74733046 by -37366523.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 1\/3*s**2 - 4\/3*s + 4\/3 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 240 in decreasing order.\nAnswer: 240, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 439524 and 17748?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*i - 34. Suppose -x = -4*x + u + 82, i*u = x - 32. Let b = 16 + -7. What is the highest common factor of x and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) -4 (c) 15049\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-8))\/(4\/(-32)). Suppose 5*o + 2*f = -2*f + 877, o - 167 = -5*f. Suppose 3*m - o = -2*z - z, -b*m - 260 = -4*z. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 8*o + 10. Let l be a(-7). Suppose l*t + 1 = 4. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2600784 less than -176?\nAnswer: 2600608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3124 - 10a5?\nAnswer: 202a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 11*y**2 - 17 - 2 + 2*y**2 + 9*y. Let i be r(8). Is -10 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -333, -327, -319, -309, -297?\n\"Answer: x**2 + 3*x - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 909567 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.0402 times 87.7\nAnswer: 3.52554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24, 12, -10, -48, -108?\n\"Answer: -a**3 + a**2 - 8*a + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwb when three letters picked without replacement from wbb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -18*y**2. Let b(m) = -10*m**2 + 17*m**2 - 2*m**2 - 4*m**2. What is a(b(d))?\nAnswer: -18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3826\/5 + -763. Suppose -2*r + 9 = 2*a - 5, -19 = -3*a - 2*r. What is the second biggest value in a, -2\/7, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2534\/255 or 9?\nAnswer: 2534\/255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -301.3881 rounded to the nearest 10?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/8*(1 + (-15)\/9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzziizzzzizzz. What is prob of sequence zzz?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-1\/6))**(-46)\/(n**(-1)*n)**(1\/9))**(-3) assuming n is positive.\nAnswer: n**299","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1278731 is divided by 1903?\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 182012, 366899, 551788, 736679, 921572?\n\"Answer: u**2 + 184884*u - 2873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12 + (20\/6)\/(-5)*(-45)\/(-6). Sort -6, -1, -5, t.\nAnswer: t, -6, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11745 and 9?\nAnswer: 11745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1 = -m, 5*m + 0*f - 2*f = 21. Find the second derivative of -m*s + 3*s**2 + s + 3*s wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 6*g - 7*g)*(6*g**3 - 83*g**2 + 67*g**2 + 2*g**3).\nAnswer: -16*g**4 + 32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**6\/120 + t**5\/15 + t**4\/6 + t**3\/3 - 5*t**2. What is the units digit of h(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -332498*i**3 + 11*i**2 + 6*i - 9. Let l be r(-5). Let z = -81162486 + l. What is z rounded to the nearest 1000000?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 3*g + 11 = 5*r, -3*g - 7 = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 312\/5 + -62. Let y be (-15)\/12*15\/(15\/(-4)). Which is the nearest to 0.1? (a) x (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((200\/245)\/10)\/(5*522\/(-1015)).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -120158 + 120194. What is the remainder when (-1048)\/(-6) + 1\/3 is divided by l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**5\/60 - r**4\/6 - 5*r**3\/6 - 2*r**2. Let v be c(6). Let s = 9 - v. Solve -s*p + 1 = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**4\/4 - q**3\/2 + q**2 - 11*q. Calculate the remainder when d(2) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -b - 3*b - 3*d, 2 = 3*b - 5*d. Let m = -11 + 15. Suppose -m - 7 = -11*r. What is the smallest common multiple of r and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 61\/6. Put t, 2, -4\/3 in descending order.\nAnswer: 2, t, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/((-33)\/(-3))*-1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53788?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -551?\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((sqrt(88)*-3)\/sqrt(8) - sqrt(11) - (-5 + 1 + sqrt(11))) + 1 + 4)*3 + -3)**2.\nAnswer: -7560*sqrt(11) + 29331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujbjujeojajju. What is prob of picking 1 e and 1 u?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -34 + (0 - 4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 12*d**2. Let b(h) = 2*h + 2. Let q(c) = -2*c - 3. Let v(p) = 3*b(p) + 2*q(p). Give v(i(u)).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 3 = 0, 4 + 1 = -2*a + c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.6107 + 0.1007. Let p = z + -74.49. Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 1136*p + 9. Let l be n(-2). Let d = 6024 + l. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -180 in 0, 0.3, 8\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-363)\/(-168) - (-6)\/(-21). Do 3 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 99457\/43 - 2313. What is the nearest to s in -0.02, 3, 3\/2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -18*t - 12. Let h be b(-2). What is the greatest common factor of h and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -349.7 - -56.7. Let g = y - -317. Suppose -j = h - 4, -3*h = -4*h. Which is the second biggest value? (a) j (b) 2\/17 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by -13775294\nAnswer: -28\/6887647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - b**3 + 2 - 1 + 2*b**3 + b**2. List the prime factors of g(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28521.\nAnswer: 3, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/((n*n\/n**(-3\/2))\/n*n)*n)\/n)\/(n\/((n*n*n*n*n**(-1)*n)\/n))*n**6\/n**(-1))**(-6\/19))**(10\/7) assuming n is positive.\nAnswer: n**(-390\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 29*k**2 - 2*k + 15*k**2 + 2*k.\nAnswer: 44*k**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {s: 4, n: 4, z: 1, u: 2, h: 2, m: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.1, -1, 40, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 12, k + 0*k - 2*i + 13 = 0. Let c = k + 11. Let t(z) = z**3 - 5*z**2 + z - 2. Let g be t(5). Which is greater: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 4*l - 133. Suppose 5*t + 231 = -3*v, 4*v = -2*t - 59 - l. Calculate the remainder when 29 is divided by t\/(-5) - 2\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 3070568.\nAnswer: 3070567.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7574, 15146, 22718, 30290?\n\"Answer: 7572*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -2. Suppose -v*t + 4*t - 14 = 0. Calculate the remainder when t + 2 - 2*1 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/507 - 1537\/4056. Let g(v) = v**3 - 9*v**2 + 11*v - 17. Let i be g(8). Suppose 0 = 4*f + 3*u - 2, 5*f = 4*f - 4*u + i. Are b and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101101 + 100101000?\nAnswer: 110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -47, 799, 1645, 2491?\n\"Answer: 846*m - 893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of t**4\/24 - 5*t**2\/2 + 2. Let o(p) be the second derivative of j(p). Let x(s) = -5*s**2. Give o(x(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1822*k + 104621 = 321439 for k.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 12*n + 54. Determine v(16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5\/2*q**4 + 5\/2*q**5 - 15\/2*q**3 - 25\/2*q**2 - 5*q + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1942.9 - 4289.5. What is y rounded to the nearest ten?\nAnswer: -2350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-28)*(-4132)\/9297?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = x + 2. Suppose x*c = 4*c - 4. Is 12 a factor of (-219)\/(-9) + c\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amim when four letters picked without replacement from immmaim.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -4. Let q = -3 - -7. Suppose -q*s - 19 - 1 = 0. Put 4, j, s in decreasing order.\nAnswer: 4, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 + 3*l - 75. Let o be j(10). Find the third derivative of 64*t**2 + 477*t**3 - 12 + 13 - o*t**3 wrt t.\nAnswer: 732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 542220622 to the power of 1\/4, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 4*y + 13. Let d = -61 + 63. Let f be z(d). Suppose g + 3 = -3*v, 3*v = 3*g - 14 - 1. Which is the closest to v? (a) 0.3 (b) f (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 119a5a8 - 4?\nAnswer: 119a5a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 9*t + 21 = 0, -11407*t + 11405*t + 8 = -2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010011011101001 - 1?\nAnswer: -110010011011101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -273707a40 - 4?\nAnswer: -273707a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163485 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11191243, -11191245, -11191249, -11191255, -11191263, -11191273, -11191285?\nAnswer: -11191299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 3:20 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -48, -116, -202, -306, -428, -568, -726?\n\"Answer: -9*p**2 - 41*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 26*y - 37. Let l be r(-25). Let g be (4*(-3)\/l)\/(-3). Which is the nearest to -1\/2? (a) -1\/2 (b) g (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**3\/3 + s**2 - 58*s + 1. Let d(r) = -2*r + 2. Calculate -7*d(k) + 6*q(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 95 = 3*g. Let j = g + -151\/4. What is the third biggest value in j, 2\/11, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 444805 and 697.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3990)\/(-25))\/(-19))\/(5\/25).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 12:46 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5613 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-72)\/(-8))\/(-9)*(4 - 1). Suppose 3*q - 16 = q. Let i = q - 12. What is the biggest value in i, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*q = 4, 5*j + 9 + 6 = 5*q. Let d(u) = -u**3 - 9*u**2 - 8*u + 2. Let h be d(j). Let c(s) = 5 + h*s**2 - 3*s**2 + 0*s**2 - 3*s. Give c(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**4\/4 - 13*n**3\/3 + 19*n**2\/2 - 34*n + 76. Is l(12) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -m - 3*m + 250, -2*m = 3*x - 152. Suppose -123 = -3*j + x. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 10, y: 4}. Give prob of sequence yey.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -8*i**6 + i**3\/3 - 45*i**2\/2 + i - 82. What is the second derivative of r(m) wrt m?\nAnswer: -2880*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 16. Let q(l) = l**3 + 11*l**2 - 3*l - 13. Let d be q(u). Solve d = 6*p - 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*m**3 + 5*m**3 - 29*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 7)*(-2*r + 3 - 3)*(2 + 0 + 0)*(r**2 - r**2 - 4*r**2 + (-6*r - 5*r + 0*r)*(2*r - 2*r - r)).\nAnswer: -140*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 + -30. Let s = -42 - -60. Suppose -2*t = f - 3, 2*t + s = 5*f - a. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -47*l**3\/2 - 59*l**2\/2 + 127*l. Differentiate d(b) wrt b.\nAnswer: -141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 598 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(200) + sqrt(2)) - (sqrt(312)\/sqrt(6) + 4)) + 1.\nAnswer: -20*sqrt(13)\/11 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2915, -5637, -8323, -10973?\n\"Answer: 18*f**2 - 2776*f - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1190*x**2 + 339*x**2 - 1579*x + 324*x**2 + 1579*x to c + a*x**2 + b*x and give a.\nAnswer: 1853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/560 or 0?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 7*f**2 + 6*f - 9. Let z be x(2). What is the third derivative of -112*j + j**5 - 2*j**5 + 5*j**3 + 112*j - z*j**2 wrt j?\nAnswer: -60*j**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 17. Let j(z) = 4*z**2. Let x be j(1). Suppose -x*v + 24 = -c. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -11.6 (b) -0.2 (c) -2 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 142 = -8*p. Suppose -2*i - p = 72. Round i to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euumnep. What is prob of picking 2 e and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*p - 290 = 0, -11*p = -6*p - 10. Let l = 205 - k. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206637644.\nAnswer: 2, 29, 1781359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2026535416 + -2026535515.0000081. Let a = -99 - x. What is a rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-30)\/(-25))\/((-6)\/(-20)). Solve -5*u + 191*u**3 - 4*u - 3*u**5 + 6*u**2 - 6*u**k - 179*u**3 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 10. Let n(v) = 7*v - 3. Let i(x) = -x**2 + 14*x + 29. Let b be i(16). Let j(z) = 19*z - 8. Let q(a) = b*j(a) + 8*n(a). Calculate q(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*h - 20 = h, -4*h = -5*o - 2. Find the second derivative of 3389 - 3375 + a + a + 57*a**o wrt a.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - -7?\nAnswer: f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -64548 divided by 11\nAnswer: -5868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 132*b - 128*b - 7*q + 42, 17*b + 47*b - 3*b - 3*q = 101 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -72 - 10\/2 - -2. Let z = k + 245. List the prime factors of z.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 5:18 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24652759 minus -1587?\nAnswer: 24654346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3314755393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/105)\/3*(-78 - -85)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/4*12274\/30685 + -10*6\/(-1)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, b: 1, q: 1}. Give prob of sequence lqb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3))**(-23)\/(q*q\/q**6*q**(-2))*(q**(-2\/5)*q)**(-30)*(q**1)**(-2\/53) assuming q is positive.\nAnswer: q**(-695\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45043 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0.2, -3, 2\/9 in descending order.\nAnswer: 2\/9, 0.2, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two sevenths of a week in days?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19\/62 + -898\/155. Calculate the common denominator of -89\/4 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1384 + 781. Let d = -602.9 - h. Are d and -50 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0155706 - 7.\nAnswer: -7.0155706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 16.56178 millilitres?\nAnswer: 0.01656178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**3 - 9*g**2 + 29*g - 148. Determine d(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from {e: 3, x: 4, i: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 36800 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -206*q**3 - 1232*q**2 + 17*q - 31. Give i(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 9) to base 12\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 17. Let t = 0.000004 - s. What is t rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*n - 19 = 0, 6*q - 11 = 4*q - 3*n. Solve -l - h = -q, h + h = -l + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 0*z**2 - 1\/6*z**3 - 1 - 4*z + 1\/60*z**4. Factor r(q).\nAnswer: q*(q - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -231*v - 8. Let m(q) = 8084*q + 282. What is -141*k(o) - 4*m(o)?\nAnswer: 235*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l**2 - 2*l + 1. Let h(i) = 32*i**2 - 3*i + 1. Let u be h(2). Let p = 124 - u. Determine j(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.152 rounded to 2 dps?\nAnswer: 1.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37611 = -12*l + 3*l. Let g be -111*2 - (0 + -1). Let d = g + l. What is d rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + (5 + (sqrt(325)*2 - sqrt(325) - sqrt(325)) - (sqrt(325) - (sqrt(325) - (-4 + sqrt(325)*2 - sqrt(325))))) + -4 + -3)**2.\nAnswer: 20*sqrt(13) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3291 + -0.0291. What is the closest to 1\/2 in 1, d, 1\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7944 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 + 3*j**2 + 4*j + 2. Let x(g) be the second derivative of 1\/6*g**3 + 0 + 1\/2*g**2 + 1\/12*g**4 + 5*g - 1\/20*g**5. Give -w(h) + 3*x(h).\nAnswer: -h**3 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + k = -4, 0 = -3*h + 3*k - 9 + 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/9 - 49\/63. Let u(x) = -3*x**3 - 2*x - 5. Let i(o) = o**3 + o + 1. Calculate z*u(a) - 2*i(a).\nAnswer: a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.146 + -35.204. Let x = k - -0.35. Let r = x - -64. Is 0 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21808191.\nAnswer: 3, 373, 19489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/(-80)*(-12 - -14) and -49\/620.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n - 2*n)*(-3 - 2 + 0) + 3*n - 5*n + n + (-1 - 3 + 5)*(-7 + 7 - 6*n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222220012212 - 10?\nAnswer: -222220012222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -121 - 12. Calculate the remainder when z is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6663196 minutes to nanoseconds.\nAnswer: 39979176000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/6*(150\/500)\/(15\/1120*-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**2\/4 + 7*j\/2 + 55\/4 = 0. What is j?\nAnswer: -11\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 27135510?\nAnswer: 27135510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -182676 in 0.3, 1, 3\/53, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/80 and 61\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 0. Let x(y) = y**2 - 2*y + 1. Let o(h) be the first derivative of h**3\/3 - 3*h**2\/2 + h - 185. Give n*o(i) - 6*x(i).\nAnswer: -2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -203250 to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 10*k**2 + 45*k + 16. Suppose -2*r = -3*q + 4*q + 37, r + 2*q + 26 = 0. Is a(r) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*j**2 - 227*j**2 + 391*j**2 - 39*j**2 - 42*j**2 - 42*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2755041278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1625 - -2369. Let t = n - 264. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 - 46.19. Let k = g + -0.01. Which is the third smallest value? (a) -2\/9 (b) k (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4 = 2*h. Let r be 5\/(2 + -1 + 0). Suppose 4*p + 18 = r*u - 13, -3*p + u = 15. Sort 4, p, h in increasing order.\nAnswer: p, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 2*j**2 + 5*j + 4. Let g be r(-1). Solve -3*u + 5*x = 9, -2*u - 2*u + 4*x - 4 = g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 + (-23 - ((-47 - -57) + -13)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 10 = 6*o - 7*o - 5*b + 70, 4*b - 44 = -4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -14 + (236\/(-17) - -2).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (1 + -8)) + (74 + -86 - (91 - 2)).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 1056.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*x - 1. Let h(g) = -43*g + 4. Is 18 a factor of h(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (1 - -7) - (4 + -4 - 35)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**5\/((u\/(u**(1\/3)\/u))\/u)*(u\/u**(3\/4)*u)\/(u*u\/u**(-1\/8)))**(-8\/15))**25 assuming u is positive.\nAnswer: u**(-415\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0827 + 1627.215.\nAnswer: 1627.2977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**4\/4 - 3*a**3 + 3*a**2\/2 - 18*a + 69. Let s be k(9). Calculate the greatest common factor of s and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 65, 70, 77, 86?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 15 - ((-12747)\/(-3444) - (-1)\/4)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 23*r**2 - 24*r + 54. Let d be h(22). Let w be 8\/d*15\/6. Solve -w*v = 10, 2*v = -y - 2*v - 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3745, -3757, -3775, -3799, -3829?\n\"Answer: -3*b**2 - 3*b - 3739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-76))\/(144\/1368).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -357*c - 26. Let d(o) = 356*o + 19. What is 4*d(m) + 3*x(m)?\nAnswer: 353*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3848.127 and -50.4?\nAnswer: 3797.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + ((4*(sqrt(75) + 0) - sqrt(75)) + 2)**2 + (sqrt(75) + sqrt(75) + (sqrt(75) + 1 - sqrt(75))*-1 - -3*(sqrt(75)*2 - sqrt(75)))**2).\nAnswer: 60*sqrt(3) + 15318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111101110011110011001 (base 2) to base 5.\nAnswer: 2023410041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -518, -1.5, 204 in descending order.\nAnswer: 204, -1.5, -518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*m - 5*z - 72, z = 2*m - 36. Let q be -5*(72\/30 - 6). Let y = q + m. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*w + 28*w = 179400. Calculate the highest common factor of 30 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1557047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 2:55 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17952 and 665040?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -0*r + r. Calculate the greatest common factor of 14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -1\/2 (c) 20 (d) -4.159 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102 + 410 = -44*q - 220 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -459*g**2*s**3 - 1209*g**2*s - 16*g*s**3 + s wrt s?\nAnswer: -2754*g**2*s - 96*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -403 + 1082. Let d = i + -641.9. Let l = 37 - d. What is the smallest value in 4, -18, l?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 65 - -10?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(196\/24)*329. Suppose 2*n + n = -5*c + 312, -3*n + 5*c + s = 0. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -154444*x**2 + 51673.\nAnswer: -308888*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/1019 and 1\/479.\nAnswer: 488101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 62. Let z be u(14). Suppose 0 = -11*q + 3*q - z. Let i be q\/((-3)\/1 - -1). Sort -5, -4, i, 1 in increasing order.\nAnswer: -5, -4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -154*w + 20. Let z(g) = -g. What is o(z(q))?\nAnswer: 154*q + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + sqrt(1900) + -1 + (sqrt(2736) - (sqrt(2736) - (((sqrt(2736) + 3)*5 - sqrt(2736)) + sqrt(2736)) - sqrt(2736))).\nAnswer: 17 + 82*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + sqrt(70) + 1*(sqrt(70) - 1*sqrt(70)) + sqrt(70) + -3*sqrt(70)*-1)\/(sqrt(490)*4 + sqrt(360)*5).\nAnswer: 3*sqrt(7)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -191096.12 to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzxzzzzzfzz. What is prob of sequence fzz?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6 plus 43?\nAnswer: 40.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 - 64 = k, -3*v + 2*k = -198. What is the greatest common factor of v and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 0 + 0)*(50*p + 626*p - 95*p) + 3*p**2 + 0*p**2 + 3*p**2 as j + u*p + r*p**2 and give r.\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 425*v**8\/336 + v**6\/60 - 229*v**4\/24 - 748*v**2. What is the second derivative of k(g) wrt g?\nAnswer: 8500*g**3 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3276775.\nAnswer: 5, 131071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 22*x**2 - 430*x + 18. Calculate s(20).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 15*u - 6. Let l be r(3). Suppose 2*x + 2*s - 18 = -2*s, 3*x + 2*s = l. Let n = x - -9. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 44\/18697 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 3:52 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 7*g - 43. Let t be i(4). Is t greater than or equal to -2\/153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44 - -2177?\nAnswer: 2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5657*r**3 - 6129*r**2?\nAnswer: 33942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1164492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u**4\/7 + 260*u**3\/7 - 232*u**2\/7 - 64*u\/7 = 0. What is u?\nAnswer: -8, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00109305 rounded to five dps?\nAnswer: 0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2 + 2*a + 1. Let o be f(2). Let l(p) = -p**2 - 8*p - 10. Calculate l(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -1 (c) -2 (d) 0 (e) 99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 552927590 to the nearest integer?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**4\/4 - d**3 + 3*d**2 + 3*d + 1. Suppose 5*f + 30 - 10 = 0. What is c(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2 - 4*h + 15 + 3*h. Let k be w(10). Suppose -3*f = k*q - 2*q + 80, f + 36 = 2*q. Round f to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*l + 36. Let d = l - -27. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 2\/24602157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) 11\/6 (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, u: 6, y: 4}. What is prob of sequence yuy?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 3*l + 8*l. Suppose l = -6*q - q + 595. List the prime factors of q.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 7 = 2*k, k + 4*d + 28 = 3*k. Let b = 9 + 20. Suppose 2*i - b = -2*w + 3*i, 4*i = -2*w + 34. Solve k*q - w + 0 = -s, -30 = 5*s - q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*p**4 - 176*p**3 + 734*p**2 wrt p.\nAnswer: -96*p - 1056","meta":{"dup_signals":{},"source":"calculus__differentiate_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: -0.0900803 * 19.7\nAnswer: -1.77458191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + (3 + 5 + -10 + -1 - 10)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 + k - 3. Let n(p) = -p**2 - 7*p - 7. Let y be n(-5). Let h be u(y). Is 12\/9*h\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*2*sqrt(121)*-3)\/(sqrt(1100) + sqrt(1100)*2*-4))**2.\nAnswer: 99\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 0 - 2\/3*q**3 + 1\/5*q**5 - 9*q + 1\/3*q**4 - 2*q**2. Solve i(j) = 0 for j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -7*y - 65. Let c be (-1)\/(-6)*3*-10. Let j be 3*25\/c - (2 + -4). Does y = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -76057, -76237, -76417?\n\"Answer: -180*r - 75877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/125)\/(336\/210). Let v(a) be the second derivative of 1\/2*a**4 + 0 + 1\/3*a**3 - 17*a - n*a**5 - 1\/15*a**6 - 2*a**2. Solve v(f) = 0 for f.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 7*g**4\/8 + 11*g**3\/3 + 9*g**2\/2 - 14. Let u(f) be the second derivative of z(f). Differentiate u(a) with respect to a.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + n = 16 + 3 - 12, 41*n - 36*n = -2 - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230, 323, 482, 713, 1022?\nAnswer: 1415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145 + 27*x - 56*x + 58 + 111 + 76 + 28*x.\nAnswer: -x + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 11*a - 25. Let m be x(5). Suppose -28*j - 6948 = -m*j. Suppose 4*t - 4*z + 1145 = 5*t, z + j = 3*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 264 (b) 63\/17 (c) 0.1 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 127964917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 187*x**4\/4 + x**3\/3 + 252*x**2 - 3229. What is the third derivative of a(p) wrt p?\nAnswer: 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 8*d**3 + 11*d**2 - 6*d - 6. Let p be f(-2). What is the fourth biggest value in 1, -2, p, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28530.886 + 28231.9. Let f = 0.31 + -300.31. Let l = f - g. Round l to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2758680*m**5 + 769905*m**2.\nAnswer: 165520800*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -3\/4 (b) -220\/17 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29130 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: Let y**5\/3 - 1090*y**4\/3 + 36829*y**3 - 932566*y**2\/3 + 2434912*y\/3 - 537248 = 0. What is y?\nAnswer: 1, 4, 103, 978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*p - 24 = 0. Suppose p*w - 80 = -0*w. Calculate the lowest common multiple of w and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 156 and 33.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**3 + 7*b**2 - 22*b - 7. Let q be h(4). Calculate the greatest common divisor of q and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 19 = -4*t, 2*t = -3*v - 1 - 4. Suppose -v = 4*l - 57. Calculate the remainder when l is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*f - 273 - 247 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(288)*2 + sqrt(288) - sqrt(8)).\nAnswer: sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*b = 220*b + 198*b - 4656 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(2\/2))\/((-263952)\/49491)\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -94378 bigger than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -11*r - 19. Let m be n(-3). Suppose -m*b + 620 + 2236 = 0. Calculate the remainder when b is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00354109459 to 5 dps.\nAnswer: -0.00354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 3) to base 14\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + sqrt(50)\/(sqrt(30)\/sqrt(3)).\nAnswer: sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -124185*s**3 + 7947830*s**2 - 127164800*s - 10240 = 0.\nAnswer: -2\/24837, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*s - 300 = 142*s. Calculate the highest common divisor of 850 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 5:14 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*g - 16 = 0, 2*f + 4 = 3*f + 3*g. Suppose -5*v + f*n - 7*n = 35, 5*v = 5*n + 5. Sort -5, v, 4 in descending order.\nAnswer: 4, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**3 + 263*h**2 + 77*h + 269. What is m(88)?\nAnswer: -699","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (11\/3)\/(8\/(-6)) + 3\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m**2 + 5*m**2 - 3*m**2)*(-73*m**2 + 155*m**2 + 90*m**2) as r*m + x*m**3 + a*m**4 + w + q*m**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -17 (c) 2 (d) -19083\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2833*r**5 - 7*r**2 + 13?\nAnswer: 169980*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.2857 rounded to 1 dp?\nAnswer: 14.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.6 + 19. What is the nearest to 1\/3 in -5, p, -0.07?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419120452 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4267 + k + 4267 - 29*k - 14*k. Let y(c) = -46*c. What is y(g(l))?\nAnswer: 1932*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.48142 in 2\/13, -1\/3, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*1*-2 - sqrt(396))\/(-1*sqrt(24)\/sqrt(2)))\/(-2*(sqrt(176) + 2*sqrt(176)*-1)).\nAnswer: 3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d + 114 = 78. Suppose 3*k - 2*o - 186 = o, o = d*k - 123. What are the prime factors of k?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/3, 3, -8 in decreasing order.\nAnswer: 3, 0, -1\/3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 0.02585002\nAnswer: 0.20680016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9718.\nAnswer: 2, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12988160 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17659599367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56738103691846\/1139 - -49813953798. Let c = -9057 - j. Let m = c + -62647\/2278. What is the common denominator of -71\/8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/3)\/((-2)\/6). Let g = 15 + b. What is the remainder when 12 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3247\/(-191))\/(3 + 0 + -2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -194103680 - -0.1.\nAnswer: -194103679.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*v + 49*v + 60*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48438175.\nAnswer: 5, 193, 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 - 13*j**2 - 9*j + 2. What is s(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3798\/(-9073))\/(2\/(-86))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -12 - (12 - 7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z + 3. Let m be ((-69)\/46)\/((-3)\/(-6)). Determine f(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 285 by -1338103.\nAnswer: -285\/1338103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2620a (base 11) to base 2\nAnswer: 1001001010010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 35190 * -0.05688\nAnswer: -2001.6072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 58, -7, -1, -903, -2 in descending order.\nAnswer: 58, 3, -1, -2, -7, -903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 10 - 509*v - 5.\nAnswer: -509*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 - 3334104001?\nAnswer: -3334104024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**4 + 2*x**3 - 9*x**2 - 12*x - 4 = 0.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/8 (b) -66 (c) 0.29 (d) -0.1 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/10 + (-484)\/(-90) and 1\/2 + (-31702)\/(-1572).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - 8*a**3 + 0*a**2 + 13*a**3)*(-1 + 5 + 4).\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3100 and 700?\nAnswer: 21700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**23\/i)\/(i*i*i**(-9)\/i))\/(i**32)**(-5\/6) assuming i is positive.\nAnswer: i**(170\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -36 + 39 - (-2 + 1). Suppose -j - 1 = 0, 3*h - 2*h = n*j + 39. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -259 - -259.0133. Round l to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 180.99999833 + -181. What is z rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 121383 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349227062.\nAnswer: 2, 103, 109, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17219042 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 54 = 34. What is the closest to 0.1 in u, 529, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5776*q**4\/5 - 264784*q**3\/5 + 313388*q**2\/5 - 8904*q + 1692\/5 = 0.\nAnswer: -47, 3\/38, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, -9, -37, -83, -147, -229?\n\"Answer: -9*d**2 + 17*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1840, -3613, -5386, -7159, -8932?\nAnswer: -10705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*p**2*q**4 - 354136*p**2*q**3 - 4079078*p**2*q wrt q?\nAnswer: 108*p**2*q**2 - 2124816*p**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-6)*(-4 - 52\/(-16)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2697 - 11155.404165\nAnswer: -11155.134465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0*-71\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1999 - 1.199887686. What is g rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 26*i**2 - 51*i + 12. Does 174 divide k(-34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 2*h**2 - 5*h + 1. Let v(f) be the first derivative of -f**3\/3 + 17*f**2\/2 - 48*f + 144. Let r be v(13). Calculate m(r).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -17\/8, -13, -4, -44?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0398171 to four decimal places.\nAnswer: -0.0398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/656140 and -16\/32807.\nAnswer: 656140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -9. Suppose n = 4*l - 15 - 13, 3*l + 2*n - 10 = 0. What is the highest common divisor of l and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5 = 0, -2*o + 30 = -o + 5*y. Calculate the greatest common factor of o and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) 2 (c) 1.8 (d) -1273\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 124\/(66\/12 + -5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(2\/(-4))*(-41)\/(820\/60)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 2*k + 7, -d - 3*k - 3 = 6. Suppose -4*o = d*y + 56, -o - 2*o = -y + 42. Let a = 2 - o. What is the remainder when 94 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 180 and -0.78.\nAnswer: -140.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 6\/(-9)*(-1233)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -5*u + 47*u. Solve u*b - 9*b = 21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.6 + 3.6. Let q = r - 35. Let p = -33.99999916 - q. What is p rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 3*y**2 - 4. Let p = 9 - 5. Calculate g(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 6*l + 6. Let v be x(6). Let b be (v\/(-9))\/((-1)\/3). Solve -4*f**4 - 2*f**5 + 6*f**4 + b*f**3 - 2*f**3 = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 512?\nAnswer: 4608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 906489836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-4))\/(4*5\/(-120)). Solve -3*q - 2*t - f = -29, 0 = -2*q + 5*t - 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/26873 and 53\/322476.\nAnswer: 322476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6879*s - 5131*s - 62928 for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 5*z**2 + z. Let r be v(4). Let s = 8 + r. Let d = s - -43. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-168)\/(-18)*(-45)\/(-20) and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 14 = -2. Let y be (-2)\/((4\/t)\/2). What are the prime factors of (y + 56\/20)*-85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434 - 34 = -4*g. List the prime factors of g.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t = -2*c + 58, 4*c + 76 = 4*t. Suppose 6 - t = 5*m. Sort -4, m, 1 in decreasing order.\nAnswer: 1, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 4. Let r = -17.28 - q. Let k = r - 0.72. Is 0.02 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a161 (base 13) to base 6.\nAnswer: -250510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1207 divide 1385889984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1679622 and 3768492?\nAnswer: 8526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14661*c - 484 = 14705*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11857 - -5?\nAnswer: 11863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p - 22. What is j(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 203\/948600 and -193\/1660050.\nAnswer: 6640200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**3 + 2*c**2 - 1. Let f = -6 - -10. Suppose 4 = -2*a + f*r - 0, 2*a + r - 16 = 0. Suppose -2*d + 13 = -5*t, -5*d + 3*t + 10 = -a*d. Give n(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 3\/4 (c) 1\/3 (d) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 - n - 2. Let z(x) = -2*x**2 + x + 2. Let y(l) = 17*l + 139. Let h be y(-8). Let c be 2\/3*(9 + -3). What is c*a(o) + h*z(o)?\nAnswer: 2*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - t + 1. Let h be a(6). Suppose 32*s - 140 = h*s. What is the highest common divisor of 20 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 + 16380*s - 13415220.\nAnswer: -5*(s - 1638)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + -3 + 4 + (-8 - 4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148764?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4165 divided by 7\nAnswer: -595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/29, 0.5, -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1236 divided by 12\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3284.573 litres to millilitres.\nAnswer: 3284573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 364542 (base 9) in base 2?\nAnswer: 110101101011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76509521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00491020494 rounded to 4 decimal places?\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11 - 20*p**2 + 58*p**2 + 0 - 17*p**2 wrt p?\nAnswer: 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/96*-4 - 84\/(-96)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 2*y = 684. What is the derivative of 17 - 4 - y*j + 11 + 30 wrt j?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 29*o**2 + 2*o - 2. Let b(d) = 434*d**2 + 31*d - 31. Calculate 2*b(r) - 31*p(r).\nAnswer: -31*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -182 + 204 + 81 + 2. Which is the fourth smallest value? (a) o (b) 0.1 (c) -0.3 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374950771 is divided by 671?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 412.5 rounded to the nearest ten?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, w: 2, h: 10}. What is prob of picking 2 w?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n = -3*n - 88 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1137 = -94*x + 2529 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -674\/11*i**3 + 224\/11*i**4 + 2\/11 - 230\/11*i + 678\/11*i**2 = 0. What is i?\nAnswer: 1\/112, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 - -161413225?\nAnswer: 161413200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1523*(9\/(-3) - -4978). Let a = -12916925 + n. Round a to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*q - 104. Suppose 11*j - 89 - 76 = 0. What is the remainder when q is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2874915642 divided by -6\nAnswer: -479152607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 538113, 538123, 538133, 538143, 538153?\nAnswer: 538163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**2. Let a(v) be the third derivative of 0 + 1\/24*v**4 + 0*v + 0*v**3 - 20*v**2. What is a(i(d))?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0*m + 0*m)*(4 + m - 4) - 30 + 30 + 9*m**2 + 5 + m**2 - 5.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4.4. Let f = 44554 + -44496. Sort o, -0.1, f.\nAnswer: -0.1, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 0 + (-3 + 3 - 2)*(-4 + 3 + 2))*(2*y**5 - 2*y**5 - 2*y**5).\nAnswer: 12*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7476.024 millilitres?\nAnswer: 7.476024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382957.\nAnswer: 113, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47910402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -5*s - 2*v, -5*s - v + 25 = 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25471 and 718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-6) + 7\/2. Suppose -79 = -3*r + 4*z + 172, h*z = r - 73. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37894 rounded to the nearest 1000?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26507614.000126 - -26507522. Let v = -92 - y. What is v rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 8*w**2 - 3*w - 20. Let g be j(-8). Suppose g - 2 = h. Suppose 1 = 5*o + h*l - 34, l - 25 = -4*o. Solve o*x = 25, -y - 2*x = 4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.9969 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 7*s**2 + 3*s - 3. Suppose r = -8 + 5, -4*v = 2*r + 6. Suppose 3*b - 6 = 3*h, v = b + 3*b + 3*h - 15. Give z(b).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1370 - 5126. Let q = 6492.9999 + g. Let m = q + 3. Round m to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -460 divided by -5?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 9*d - 3132 = 0. Let x = 1355 + d. Calculate the highest common factor of 88 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*d**2*s**3 + 3*d**2*s - 650*d**2 + 2*s**3 - 29*s + 66 wrt d?\nAnswer: -10*d*s**3 + 6*d*s - 1300*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3027966.1 and 0.3?\nAnswer: 3027966.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*o**2 + 430*o - 430*o + (-3*o + 7*o - 3*o)*(-3*o + 0*o + 5*o) + 4*o**2 + 0*o**2 - 2*o**2 - 3*o**2 - o**2 + 2*o**2 - 3 + 3 + 2*o**2 - 4 - o**2 + 4.\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-33)\/(-6) - 9\/6. List the prime factors of (-54)\/((-7)\/(14\/p)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f**2 - 6*f - 3. What is the hundreds digit of b(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2496 and -59489.\nAnswer: -61985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 120.08 + -123. Let t = q + 3. Let o = t + 0.02. Put -3, -0.3, o, -0.2 in descending order.\nAnswer: o, -0.2, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1140 and 6?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 398?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2651*r**2 - r - 12147 + 859*r**4 - 178*r**4 + 161*r**4 - 2652*r**2 wrt r.\nAnswer: 3368*r**3 - 2*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from iyxihkxsh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 65938.8g?\nAnswer: 65938800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 3.1. Let q = 0.18 - l. Let s = q + -0.079998. What is s rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2062?\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11544\/(-3030300)*14\/(-6)?\nAnswer: 2\/225","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 12\/(-8))*-47*2. Let o = w + -33. Suppose -o*d + 8 = -6*d. Solve -h + 2 = -d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30949269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (-48)\/45) + 1. Suppose -376 = 2*d - 380. Suppose 4*n - 4*f = 4, d*n - n - 5*f = 1. Are m and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -4\/45*g**5 - 2\/105*g**7 + 0 + 1\/15*g**6 + 1\/504*g**8 + 3*g**2 + 0*g**4 + 0*g**3 - 4*g. Factor m(j).\nAnswer: 2*j**2*(j - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 296 + -297. Which is the closest to 0? (a) d (b) -21 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -838 and -280 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12934819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 3173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, d: 6}. Give prob of sequence dd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q - 12 - 22 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4, -3\/16, -0.1 in descending order.\nAnswer: -0.1, -3\/16, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -684, -1274, -1868, -2466, -3068?\n\"Answer: -2*v**2 - 584*v - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2747, -2757, -2759, -2741, -2691?\n\"Answer: 2*b**3 - 8*b**2 - 2741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16013622660 + 0?\nAnswer: 16013622660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 250*g + 23630. Give x(73).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6323809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from {f: 12, p: 3}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**4\/8 + q**3 - 2*q**2. Let o(a) = -a + 11 + 7*a - a. Give -11*d(z) + 6*o(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 6*q**2 - 8*q - 12. What is the remainder when a(-7) is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j - 2. Let r be o(2). Let l(q) = -6*q**2 - 6*q - 2. Let c(s) = 5*s**2 + 2 + 4*s + 3 + s - 4. Give r*c(v) + 3*l(v).\nAnswer: 2*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10*3\/6*-4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*x - 841 = 0, 0*z - 3*x - 1673 = 4*z. Let r = z + 604. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -883*y**5\/4 + 161*y**4\/2 - 6108*y. Find the third derivative of v(p) wrt p.\nAnswer: -26490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -5. Let w(h) = 5*h**n - 4*h**2 - 2*h**2. Let i(b) = -1. Let m(p) = -6*p + 15. Let d(s) = -30*i(s) - 2*m(s). Calculate w(d(y)).\nAnswer: -144*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5, 23, 45, 71?\n\"Answer: 2*b**2 + 12*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19529.\nAnswer: 59, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 57 = -239. What is the tens digit of (-2)\/(-2) + (662 - d) + -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 1)\/(-1 - -2). Suppose 4*d = 7 + q. Let p(h) = -h**2 + 32*h - 57. Let a be p(30). Solve -28 = -4*o + 4*x, d*o + 6 = -0*x - a*x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 107509\/3 - 35836. Let n = 0.4 + -0.38. Let s = 0.28 + n. What is the second biggest value in 0, k, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3551, 6.1, 270 in ascending order.\nAnswer: -3551, 6.1, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009517 to 5 decimal places.\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 476 * -0.119\nAnswer: -56.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355 = -10*u + f + 204, 5*u - 4*f = -79 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11319 times -0.017?\nAnswer: -192.423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3*t**2 + 0*t + 3\/7*t**4 - 24\/7*t**3 = 0. What is t?\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4810679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - 20*l + 11*l - l**2 + 9*l.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 1. Let r(q) = 13*q**2 - q - 11. Let t(k) = 44*c(k) - 4*r(k). What is the second derivative of t(b) wrt b?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) -34 (b) -3\/2 (c) 3 (d) 0.05 (e) -0.031\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -4\/341 (b) -3 (c) -2 (d) -177 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8927723261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/119, 1, -3333?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/38)\/((-9)\/(-1))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1364*j - 4 = -1362*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -607543975?\nAnswer: 607543979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 2 = 3*t - x, 7*t + 3*x = -82 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046920767 rounded to three dps?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -263 divided by 574?\nAnswer: -263\/574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/17011104 and 35\/25516656.\nAnswer: 51033312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abbaaababbab. What is prob of picking 1 b and 1 a?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-5))\/(3*2\/30).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26991, -53984, -80977, -107970?\n\"Answer: -26993*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -74, -1, 5, -2, -11, 18 in ascending order.\nAnswer: -74, -11, -2, -1, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 37118.37ug?\nAnswer: 37118370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s**2 + 3. Let y be ((-2)\/(-4))\/((-14)\/28). Let p(d) = -23. Let x(b) = -5. Let o(j) = 2*p(j) - 9*x(j). Determine y*z(m) - 3*o(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -248 - -251. Factor -16*n**3 - 2*n**5 - 3*n + 20*n**o + n.\nAnswer: -2*n*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*a + 34, -2*a - 4*k + 6 = -10. Solve -76 = a*b - 22 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sum -11728 and -3.\nAnswer: -11731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11194 = 2*s - 2806. Suppose -s = 12*j - 19*j. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268*f + 262*f + 12 = 0. Solve -3*s + 7*s + 5*r + 5 = 0, 0 = -5*s - 2*r - f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 431*l - 1279. Determine v(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -543, -1086, -1629, -2172, -2715, -3258?\nAnswer: -3801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 72, 1919773.\nAnswer: -1, 72, 1919773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + u**3 - 8*u**3)*(-39 + 61 + 240 + 64).\nAnswer: -2282*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5219155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 300950621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - ((7 - 18) + (15 - -12))) + -6.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cfcnsnqqffqmnm. What is prob of picking 1 q, 1 m, 1 c, and 1 s?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = m - 0*m. Let h = -76 - m. Suppose 0 = 2*v - 2*i - h, -3*v + 0*i = 3*i - 63. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g**2 - 153*g + 1664. Calculate o(9).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 6:48 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 17. What is n in 4 - 85*n + 89*n + 2*n**2 - n**2 - 4*n**3 - 5*n**m = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5451184\/39 - -139774. Let c = -0.43 + 0.03. Let x = c + 1.4. What is the closest to -1\/2 in n, x, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -687 - -698 - (26 - (4 - 7))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24076\/(-18520)*(-4)\/39?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-53*9\/(-30))\/(-3). Let f be 88\/(-16) + 4 + -4. Let u = r - f. Which is the nearest to 0.2? (a) 0.5 (b) -1\/6 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86.9 + 85.9. What is the nearest to d in -2\/47, 0.2, -5?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 times 4381?\nAnswer: -170859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8 = -17. Suppose 0*i + 4*i - 4*o - 20 = 0, -5*o = 3*i - 7. Let a(y) = -5 - 3*y**3 - i*y + y - 4*y**2 + 4*y**3. Calculate a(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.204 and -0.3.\nAnswer: -0.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from xwwuwxmdmem.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1233991 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4 - 1.6. Let k = -1.92 + 2. What is the closest to k in -4, -1\/12, r?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/15*(-70)\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 + 14*u**2 - 3*u - 20. Let s = -234 + 228. Calculate the smallest common multiple of j(s) and 25.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 8*i**2 - 8*i + 61. Does 23 divide j(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28377*t + 23*t**3 - 56468*t + 28091*t.\nAnswer: 23*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2971.\nAnswer: 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0904 + 4.9096. What is the third smallest value in -0.9, 14, t?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2 = -4*d, 0 = 2*d + d - 4*j - 26. Let k be (d\/(-18))\/(123\/3303) + 3. Let h = k + 1450\/1599. Which is bigger: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j\/(j**(-1\/35)*j)))\/j)\/j)\/(j\/(j\/(j**6\/j))))**(-13\/3) assuming j is positive.\nAnswer: j**(2743\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 50017999 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m**6)*m**(-9) assuming m is positive.\nAnswer: m**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 598.\nAnswer: -597.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -a, 5*a + 98*z = 100*z + 36 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 10*q**3\/3 - 3*q**2\/2 - 2*q + 43. What are the prime factors of w(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*a*l**2 - 487184453*a - 499*l**2 - 15849*l wrt l?\nAnswer: 6*a*l - 998*l - 15849","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -60, -231, -516, -915, -1428?\n\"Answer: -57*z**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 389*m**2 - 389*m**2 + m**4 - 9*m**3 + (-m**3 - 2*m**3 + m**3)*(m + 2*m - 4*m).\nAnswer: 3*m**4 - 9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqwa when four letters picked without replacement from {a: 4, t: 1, q: 1, o: 2, w: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 14 = 86. Let l(d) = p*d + 5 - d**2 - 70*d + 30*d. Let w(j) = j - 1. Let i be (-2)\/((6\/(-27))\/(-1)). Calculate i*w(s) - 2*l(s).\nAnswer: 2*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 790837709 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3251837251?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9*9\/60\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598016 is divided by 362?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7384 and 40719068.\nAnswer: 3692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6126 (b) -22\/43 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1795 - 1794.7. Which is the closest to l? (a) -6 (b) 2 (c) 3 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1431573 - 0.2?\nAnswer: -1.3431573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j + 3. Let y be r(4). Let u = y + 18. Suppose -t - 5*p + 39 = 0, -u*p = 2*t - 6*p - 34. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 182554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-192)\/(-224)*1960\/(-80).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-75 + 0 + 8)*(1 + 1 - 3)*(-4*p**2 - 4*p**2 + 6*p**2) in the form j + c*p + z*p**2 and give z.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1167687 is divided by 19142.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 2*h**3 + 3*h**2 + 19908*h - 19908*h in the form r + w*h + m*h**2 + i*h**3 and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -4, -11, 5\/3, 52 in ascending order.\nAnswer: -11, -4, 0.1, 5\/3, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169*-279.\nAnswer: 47151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 494051.7cm in millimeters?\nAnswer: 4940517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/16291 and -41\/14810.\nAnswer: 162910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*i - 13559 + 6735 + 6824 + 50*i.\nAnswer: 72*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - b**2 - 13*b**2)*(-11 + 12 - 20)*(-3*b**2 + 4*b**2 - 2*b**2 + (4*b - 3*b + b)*(-3 - 2*b + 3) + 0*b**2 + 0*b**2 - 2*b**2).\nAnswer: -1995*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve -40*w**2 - 325*w - 16100 - 500*w + 39*w**2 - 181036 - 63*w = 0 for w.\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 16*f**2 - 8181*f - 130899. Determine n(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -121231034 (base 6) in base 7?\nAnswer: -25412341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, z: 3}. Give prob of picking 3 d.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/8 and -44\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3444 rounded to one decimal place?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 219 + -214. Solve -4 = -3*o + i, -o - i = -g*i + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*a**2\/9 + 27896*a\/9 - 331520\/3.\nAnswer: -2*(a - 1036)*(13*a - 480)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -23776, -95231, -214308, -380995, -595280, -857151, -1166596, -1523603?\n\"Answer: 2*r**3 - 23823*r**2 + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)\/(m*m*m**(6\/11)))**(2\/17)*(m**(1\/6)\/(m**(-1\/2)\/m*m))\/(m**(1\/4))**(4\/37) assuming m is positive.\nAnswer: m**(-5149\/20757)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1, -4, 5, 556, -2\/35.\nAnswer: -4, -2\/35, 0.1, 1, 5, 556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4019\/336 + -5\/112. Calculate the common denominator of r and (-6)\/(-21) + 270\/(-112).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1930858 by 2.\nAnswer: 965429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22.71, 0.1, 3\/5210, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*g - 2*u + 1180, -5*u + 1746 = 3*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 24ec04?\nAnswer: 24ec05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19009 (base 16) to base 5.\nAnswer: -11234114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 4 + (2 - 11) + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -1\/4 (c) 70 (d) -193\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -5*x + 3*j + 40, -8 = -x - 4*j. Let w(b) be the first derivative of b**2 - 11*b - 1. List the prime factors of w(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1025 + -1011. Suppose 0 = 3*y + 2*t - 6, -2*t - 1 = -3*y + 5. Calculate the highest common divisor of b and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22338.9 and 1.7?\nAnswer: 37976.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*w**3 - 916*w**2 - 306.\nAnswer: 6*w**2 - 1832*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 103481?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*d**2)*(-124 + 573 + 143).\nAnswer: -1184*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234 divided by -6.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10416 and 152016?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95875, -97225, -99475, -102625?\nAnswer: -106675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9716, -19419, -29094, -38735, -48336?\n\"Answer: w**3 + 8*w**2 - 9734*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2302*a**4*x + 2*a*x + x + 21 wrt a.\nAnswer: -27624*a**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n**2 + 10*n**2 - 5*n**2 + 7*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329*j - 24 = -333*j + 2*s, 0 = 4*j + 4*s. Solve 23 = -j*x - a, -2*x - 3 = x - 4*a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4467974 divided by -131411\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 + 5*h**2 + 2*h - 4*h**2 - 3. Let z(f) = -2*f**2 - 3 - 5*f + f**2 - 18*f + 26*f. Calculate 3*l(x) - 2*z(x).\nAnswer: -x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 1. Let u(s) = s + 4. Suppose -2*k - 3*b = -8, -2*k - b + 3 = -9. Suppose -50 = 3*o - 5*j, 2*o + o = 4*j - 46. Let w = o - -8. Give k*y(i) + w*u(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-1\/20)\/g*g))\/(g**17\/g))\/(g\/(g**(-3\/5)*g))**(3\/11) assuming g is positive.\nAnswer: g**(-665\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -6. Is 40 + (1 - f) + 1 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 - 2*h**2 - 98*h + 101. Let y be m(-7). Let k = 5 + -3. Let d be 1 + (0 - k) + 13. Solve -g - 2*g = r + y, -d = -2*r + 3*g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -r + 5, -2419*r + 2412*r - 2*j = 34 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 7)*(8 + 156\/(-18))\/(-2). Which is the closest to -2\/3? (a) -2 (b) n (c) 2\/23 (d) 0.081\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -81, -79, -75, -69, -61, -51, -39?\n\"Answer: r**2 - r - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 14*q + 35 = -17*q, 17 = 2*h - 5*q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(630\/(-27)))\/(72\/(-8)).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000041906855 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 2*n - 4. Let p be 40\/(-22) - ((-48)\/(-22) + -2). Let u be z(p). Suppose -l + 88 = 3*g, -u*l + 103 = 3*g - 222. List the prime factors of l.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 35*s - 193. Determine i(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6331, -33607, -79071, -142723, -224563?\nAnswer: -324591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 487761662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scnnscnncnnsns. Give prob of picking 2 n.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4235836 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 8:07 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 311024231141 - -1?\nAnswer: 311024231142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 609400\/(-9)*(-15)\/10 + (-3)\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 0. Suppose 0 = -v - s*y + 14 + 6, -v = 5*y - 25. Solve -6*m - 20 = -2*m - 5*p, 3*p = v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0231 - 0.3231. What is the nearest to -5 in 5, d, -1\/8, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1078, 1076, 1068, 1054?\n\"Answer: -3*t**2 + 7*t + 1074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v. Let x(a) = a - 1. Let q(j) = 5*j**2 + 7. Let p(h) = q(h) + 6*x(h). Calculate -p(f) + 6*u(f).\nAnswer: -5*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*w + 21*w - 11*w in the form k + p*w and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**3\/6 - v**2 - 2*v. Is 3 a factor of b(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*v - 111 = 27 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/71600 and -43\/27?\nAnswer: 1933200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3466 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-100)\/(-6)))\/((-72)\/60)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence coe when three letters picked without replacement from evcrrror.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -20*q - 193. What is the remainder when 124 is divided by o(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, -757, -3, 2, -196\/19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885754479?\nAnswer: 3, 73, 4044541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 7:48 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 7*w + 6. Let y(d) = 8*d + 7. Let j be ((-10)\/(-2))\/(-3 + 4). Let o(t) = j*y(t) - 4*c(t). Does 12 divide o(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 15890.\nAnswer: 31780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 - 158*o**2 + 158*o - 165. What is w(78)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 9:33 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 756 and 1296?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 7. Let v be d(5). Let g(t) = 2*t**3 - 4*t**2 + t + 2. What is the remainder when g(v) is divided by 3 + 0\/(1 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j**3 + 40652*j**2 - 48*j - 532.\nAnswer: -18*j + 81304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31 - -121?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79*m*o**2 - 32*m*o - 13*m*t + 88*o**2*t wrt t.\nAnswer: -13*m + 88*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.5 (c) -0.1 (d) -214 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -553141872 divided by -34263.\nAnswer: 16144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3904 and 9133408.\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3490*r**5 - 4*r**3 + 3493*r**5 + 5*r**4 - r**4.\nAnswer: r**3*(r + 2)*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -d - 21. Let t(i) = -4*i + 34. Let a be t(d). What is the greatest common divisor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700*q + 694*q = -24. What is the closest to q in -1, -9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21202021 (base 3) in base 15?\nAnswer: -1a1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.24978334 to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - 4 - -2 - -17. What is the derivative of -25*u**2 + 3*u - 1 - 3*u + r*u**2 wrt u?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 3, -7, 18, -3\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 17*l**3 - 8*l**2 - 15*l - 8. Let w(c) = -11*c**3 + 5*c**2 + 10*c + 5. Let v(i) = -5*n(i) - 8*w(i). Find the second derivative of v(o) wrt o.\nAnswer: 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 11)\/(1 - 3). Suppose -j*r = -1 + 37. Let t = -4 - r. Calculate the remainder when 9 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a3702 - -39?\nAnswer: a3740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 138968 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/7)*u**(-5)*u*u*(u**(-1\/6)\/u)\/u*u*u\/(u*(u**(-7)\/u)\/u) assuming u is positive.\nAnswer: u**(215\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + h - h)*(-h + 1 - 1) + 4 - 2*h**2 - 4 + (-116 + 116 - 43*h)*(10*h - 27*h - 31*h) to the form a*h**2 + b*h + j and give a.\nAnswer: 2061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2626176 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.65237731 plus 1.3288?\nAnswer: 1.98117731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*n - 2348 = 16*n - 713 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 232.7 * 259.23\nAnswer: 60322.821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 326 and 571326.\nAnswer: 93126138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1614 by -6.\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*n - 5, -4*y + 8 = -n + 1. Solve 0*u = u + y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 38.7, 4\/5, 4?\nAnswer: 38.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**4 - n**3 - n**2 + n + 1. Let a(w) = -9*w**4 + 6*w**3 + 6*w**2 - 2*w - 6. Let p(v) = a(v) + 6*h(v). Find the second derivative of p(t) wrt t.\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3431 divided by -47\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 264, 1233, 2974, 5529, 8940?\n\"Answer: 7*r**3 + 344*r**2 - 112*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v. Let n(j) be the second derivative of -3*j**5\/20 + j**2 + 12*j. Determine -2*b(c) - n(c).\nAnswer: 3*c**3 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -33abe6?\nAnswer: 33abeb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -0.4, -4 in increasing order.\nAnswer: -4, -0.4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*g = -22, 10 + 9 = 3*h + g. Suppose 3*j + 790 = h*j. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, r: 10}. What is prob of sequence ggg?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -1. Let j = 7 - 5. Suppose 0 = -v + 1, -3*v + 37 = j*z + y. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 17 - 60*w**2 - 34*w**2.\nAnswer: -94*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 72. Let h = 47.51 - t. Let m = 0.5104 - h. What is m rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k - 4 = 0. Suppose k*w = w + 110. Let g = w - 265\/2. Calculate the common denominator of 9\/10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1278 is divided by 26.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.59596 years to decades.\nAnswer: 8.359596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 + 15*f - 236. Determine g(-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34718342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t**2 + 128*t - 31. What is s(-17)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*m - 55*m = 100. Let o = 88 - 49. What is the remainder when o is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2754 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 68 = 3*j, 2*h + 8*j - 6*j - 20 = 0. What is the second derivative of -11*y**4 + 3*y**4 + 2*y**5 - 3*y**5 - h*y wrt y?\nAnswer: -20*y**3 - 96*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*r + 55, r - 3*r = 3*y + 33. Let d be (-585)\/(-63) - (r\/21 - -1). Suppose 0 = -8*m + d - 1. Calculate the smallest common multiple of m and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*u = -4833 - 3171. Solve -18*o = 11*o + u for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 800 (b) -0.5 (c) 15 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 10658\nAnswer: 5\/10658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 3*p = 2*b + 3*b + 1, 4*b - 19 = -9*p - 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 396 and 2868.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lylyfllvllv. What is prob of picking 2 l?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 6. Let p = -91 - -93. Solve 3*a = l*a + p*y - 18, 0 = -5*a + y + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(252) + 3 + -2 + sqrt(252) + -2)*3 + -5)**2.\nAnswer: -360*sqrt(7) + 9097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -119\/45 + 22\/9. Let d be (-69)\/45 + 1 + -1. Let m = d - s. What is the fourth biggest value in -0.01, -5, m, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-3))\/((-2)\/(-18)). Suppose 4*g + 23 - u = 0, -24 = -3*y + 3*g. Let 3 + 9*n**y - 3 - 6*n**3 = 0. What is n?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32225, 32226, 32225, 32222, 32217, 32210, 32201?\nAnswer: 32190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + 62 + 16 + -69.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((352\/(-80))\/(-22))\/(((-3)\/10)\/((-93)\/(-124)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*1*1\/1. Solve -3*d + 3*h - 3 = 0, l*h + 0*h = -2*d - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 2*i. Let o be t(-2). Let g(y) = -55*y. Let s(w) be the second derivative of -5*w**3\/6 - 5103*w. Calculate o*g(q) + 45*s(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 259\/392 - ((-5)\/8 - -1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p - p)*(-23*p**3 - 2*p + 3*p - 54*p**3).\nAnswer: 77*p**4 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -160*q + 1. Let j be b(1). Let d = 282204 - 282201. Sort j, 2, d in descending order.\nAnswer: d, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y**3 + 68*y**2 + 7*y - 5. Calculate b(-9).\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2733 = -71*l + 668 - 1627 for l.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5036356 and 9.\nAnswer: 45327204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*q**2 + 966*q**4 - 968*q**4 - 167*q**2)*(0 + 2 - 1).\nAnswer: -2*q**4 - 193*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 494 and 7?\nAnswer: 3458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18525)\/130)\/19*-2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3 - 1 - b**2 - b + 7*b. What is the units digit of y(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1367072 to the power of 1\/2, to the nearest integer?\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + 49 = -3*h, 5*p - 30 = -5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 4128404.\nAnswer: 20642020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3699*4\nAnswer: 1.4796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9\/97 - -9531\/776. Calculate the common denominator of -111\/22 and g.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5\/2 - 5*b**4 + 33*b**3\/2 - 20*b**2 + 8*b = 0. What is b?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 223 = 179. Let r = -59 - v. Suppose -80 = -r*h + 4*h. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 57*o**3 - 2*o**2 - 4*o + 4. Let q be a(1). What is the greatest common factor of 407 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((32\/40)\/4)\/(24\/(-45))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.641297 + 0.641297. Suppose -2*y = -3*y. What is the closest to t in y, 1, -84?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7331, 7343, 7369, 7415, 7487, 7591?\nAnswer: 7733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -55, -33, 10.\nAnswer: -55, -33, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6901 is divided by 177?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 60 = -5*g, -1601*t + 54 = -3*g - 1596*t. Let y = 10 - 25\/2. Is y greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 69 = 33 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**7\/105 + 9*v**6\/10 - 112*v**5\/5 - 392*v**4\/3 + 1242*v**2. Let o(f) = 0. What is f?\nAnswer: -2, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81\/2*j**5 - 441\/2*j**4 + 1790*j**2 - 1042*j**3 + 64 - 632*j = 0.\nAnswer: -4, 2\/9, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1262360 + -422907. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 29. Let m(r) = 27*r + 2. Let w be m(-2). Let g be (-4)\/2 - 96\/w. Which is the nearest to -2\/7? (a) 3 (b) g (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - p + 4, 4*c + 4*p + 53 - 13 = 0. Let y(i) = -i**3 - 8*i**2 - 5*i + 9. What is y(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 23. Suppose w + 0*h + 20 = 5*h, 2*w + v*h = 35. Let j(z) = -36005*z + 25. Let f be j(w). What is f rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -11. Let q(a) = -4*a + 0*a + 2*a**2 + 5 - a**2. Is q(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 39 + 1 = 0. Let p(f) = -f**3 + 10*f**2 + 5*f + 14. Let y be p(l). Let j = -43 + y. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*m**3 - 141*m**3 - 97*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(4) - (sqrt(4) + sqrt(40)\/(sqrt(10) - sqrt(640))) - sqrt(4)).\nAnswer: -7*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 9*u**2 - u + 14. Let z be h(-8). Suppose 4*y + y + 4*n = z, y = 3*n + 112. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 4*g**2 - 5*g - 5. Let q be m(5). Let a = 651 - 647. What is the units digit of ((-2)\/q)\/(((-16)\/(-300))\/a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/3)\/(3918\/(-261)). Let w = r + -89723\/11754. Find the common denominator of w and -23\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1204542 - -2188710. Let w(c) = -t + 984168 - c**2. Let h(p) = -2 + 2 - 5*p. What is w(h(r))?\nAnswer: -25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*t = 3*n, 0 = -5*n. Suppose 0 = o + 4*o. Let x = 3 + o. Solve t = x*b + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4970411 and 2981?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 4)*(-10)\/(-25).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1506 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 187 (b) 1243\/2 (c) -2\/9 (d) -5 (e) 0.2 (f) 3 (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25688 and 32032.\nAnswer: 7911904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 0 - 2*x + 0 + 1 - x**2. Find the first derivative of i(r) wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + 6 - -1) + -3 + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -3\/13 (c) 173 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2534 and 163262.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/5720 and 27\/2860.\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508 a factor of 1939765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 243058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + r**2 + r. Let q be v(-2). Let j = -77 - -147. Calculate the greatest common divisor of q and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1, 17, 45, 85, 137, 201, 277?\n\"Answer: 6*a**2 - 2*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30120103 + 123?\nAnswer: 30120231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 1 + 11)*(9*z + 72 - 23*z - 73).\nAnswer: -266*z - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -728 + 742 - (1 + 5 + -67).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15472*k + 46399*k + 8 - 15465*k - 15467*k.\nAnswer: -5*k + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-4))\/(3\/(-6)). Suppose -c*m + 27 = -0*m. Suppose 5*r = -m + 44. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -10*d - 3 + 0*d**2 - 1\/3*d**3. Differentiate x(w) with respect to w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1725*r**2 - 3*r + 1724*r**2 + 0 + 4.\nAnswer: -r**2 - 3*r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.3959 + -7.6041. Which is the second smallest value? (a) 371 (b) o (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -1)\/(-3) - 2. Let c = 248 + -253. What is the closest to 2\/3 in y, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 244 and 8?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -828848 or -828849?\nAnswer: -828848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15330 or 13860?\nAnswer: 15330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9696, 38926, 87696, 156006, 243856, 351246, 478176?\n\"Answer: 9770*x**2 - 80*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(384) + sqrt(384)*2*6)\/((sqrt(363) - (sqrt(363) + (sqrt(363) + -1*sqrt(363))*4 + sqrt(363)))*-6).\nAnswer: 8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*q + 10, -2*c + 3*q = -0*c + 6. Suppose -i + 1 = 0, c*z + z + i = 49. What is the greatest common divisor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*(sqrt(684) + -2) - (sqrt(684) + -1)*1*4)**2.\nAnswer: -360*sqrt(19) + 24649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 - 23*n**2 + 10*n - 26. Let y be c(-12). Let g(d) be the second derivative of -21*d**3\/2 - d**2 - 2*d. What is the hundreds digit of g(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.62 and -283.\nAnswer: 175.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 322711 to the power of 1\/2, to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -172 + 76. Let n be 9*(-4)\/g*-1. Which is the third biggest value? (a) 1 (b) -1\/4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-90)*144\/(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3))**(21\/2)*o**12\/(o*o**(2\/15)) assuming o is positive.\nAnswer: o**(221\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2112) + -3*sqrt(2112))\/sqrt(11))**2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*j - 848 = 20 - 120 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.88 and -289?\nAnswer: 543.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -27222 divided by 349?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -9*d**2 - 8*d - 9. Let f(l) = -4*l**2 - 4*l - 4. Suppose w - 5 = 3*w - b, -b = 3*w + 20. Let z(a) = w*f(a) + 2*n(a). Factor z(t).\nAnswer: 2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**1*d))**(-10\/3)*(d**2)**(16\/3)*(d**2\/(d*(d\/((d**(2\/5)*d)\/d)*d)\/d))\/((d*d**(-7))\/d**6) assuming d is positive.\nAnswer: d**(446\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/4683 and 17\/945.\nAnswer: 210735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 2 - 9 + 2 + 4 - 4*z. Suppose -5*f - 3*m = -32, -4 = -5*f + f + 3*m. What is v(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1034 and 94.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 9)\/(74 - (-8 + 31))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 8*z**2 + 2*z - 16. Let y be p(8). Let l(n) be the first derivative of y*n**2 - 2 + 0*n - 1\/3*n**3. Let o(c) = -c. What is l(o(f))?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-3)\/(-40)*32.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 13*y. Let c be ((-66)\/15)\/((-6)\/15). Let v be h(c). Let d = v + 4. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 1, -2 in ascending order.\nAnswer: -6, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 10:24 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) 5\/4 (c) 1\/3 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 0 (c) -1715 (d) 96 (e) 7 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/37760 and -49\/3760.\nAnswer: 1774720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 26\/7 (c) -3 (d) 2\/5 (e) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -918*j + 6181. What is the remainder when o(5) is divided by 264?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 10.9 in increasing order.\nAnswer: 0, 4, 10.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -431 + 435. Solve -7*c = -o*c - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 5 - 2)*(h - 1 + 1 + (-1 + h + 1)*(3 + 0 - 2) + 3*h + 2*h - 3*h).\nAnswer: -124*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 10*o + 39. Let r(q) = 2*q**2 + 19*q + 76. Let t(p) = -4*r(p) + 9*s(p). What is the smallest common multiple of 4 and t(-11)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**6\/72 + s**4\/24 + s**3\/6 + 2*s**2. Let u(y) be the first derivative of m(y). Differentiate u(g) with respect to g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, -0.149, -1\/9, 1\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24, 29, 44, 75, 128, 209, 324, 479?\n\"Answer: r**3 - r**2 + r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 8532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035717 rounded to four dps?\nAnswer: 0.0357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 8. Let l(z) be the first derivative of -2*z**3 + 0*z**m + 5 + z**3 + 0*z**2. Let t(u) = -u**2. Give t(l(a)).\nAnswer: -9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 527572*g**2 + 17394972064*g + 52189664448.\nAnswer: 4*(g - 65948)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60\/593 - 272\/20755. Sort u, 5, -0.4 in descending order.\nAnswer: 5, u, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2079 smaller than 0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*g = -4*g - 425, -3 = -g. Suppose 216*i - u*i - 4 = 0. Suppose i*r = 2, -114 - 89 = -2*d + 5*r. Are 103 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m. Let w(b) = 4*b**2 + 181*b - 5484. Give w(n(j)).\nAnswer: 36*j**2 + 543*j - 5484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 104, 28, 16 in decreasing order.\nAnswer: 104, 28, 16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5012019, 5012024, 5012033, 5012046, 5012063?\nAnswer: 5012084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + (-1 - -10))\/2. Is (-1 - a - -1347)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*620314.\nAnswer: 124062.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1272026*o**3 + o**2 - 35212*o wrt o.\nAnswer: 7632156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 2*f + 1. Let n be 1 - 3 - (1 - 1). Give z(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - sqrt(11)) + -3 + sqrt(275) + (5*sqrt(275) - sqrt(275)) + sqrt(11))**2.\nAnswer: -210*sqrt(11) + 13484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88.59994695 + -88.6. What is z rounded to six decimal places?\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193730 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 11. Let f(w) = 4*w**2 - 7*w - 5. Let d(l) = 7*l**2 - 15*l - 11. Let r(y) = -3*d(y) + 5*f(y). Let u be r(10). What are the prime factors of b(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -7050.\nAnswer: -7050, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3238 - 3213. Sort -14, i, 4, 1\/3 in ascending order.\nAnswer: -14, 1\/3, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nghn when four letters picked without replacement from uguugunhhhunuunhhgh?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*g - 4711 = -333*g - 243*g + 1919 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) 1\/3079 (c) -54.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1498.22 * 0.06\nAnswer: -89.8932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/9))**(13\/5))**29 assuming c is positive.\nAnswer: c**(-754\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 228, 225, 222, 219, 216, 213?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.12, -1, 4239.7, -2.7?\nAnswer: 4239.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2236 by 299346.\nAnswer: 1118\/149673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -83*z + 49*z**4 + 2*z**2 + 37*z + 1 - z**3 + 48*z as k*z + x*z**4 + o*z**2 + t + h*z**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1090*u**2 + 1094*u**2 - 5462*u**2 + 1097*u**2 + 1093*u**2 + 1089*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 14*y - 8. What is s(3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - 0.4. Let v = 558 + -557.7. What is the closest to o in 5\/4, v, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3. Let h = x + 7. Calculate the smallest common multiple of 6 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1121\/1484 - -2\/371. Let d be 19\/(-42) - (-86)\/516. Which is the nearest to -1\/4? (a) y (b) 1\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**8\/336 - b**7\/105 - b**6\/120 + b**5\/30 + 13*b**2. Factor r(g).\nAnswer: g**2*(g - 2)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**4\/12 + 28*z**2. Let q(a) be the second derivative of a**4\/12 - 2*a. Determine x(q(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10267315.\nAnswer: 5, 19, 23, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3\/3 + 200*y**2\/3 + 2500*y\/3.\nAnswer: 4*y*(y + 25)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 5?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3*f + 10 = -3*k - f, 0 = 6*k + 2*f + 14 + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -230*n**3 + 19*n - 4*n + 234*n**3 to the form o*n**2 + m*n + y*n**3 + p and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -2.2, -3, 130\/61, -2\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 48 = 2*j. Which is smaller: j or 7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 12*i = -108. Suppose 26 = -z + i. Let t(k) = -k + 5. Calculate the remainder when t(4) is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/1038622 and 133\/27870?\nAnswer: 15579330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.027? (a) -9 (b) 5 (c) -0.3 (d) 2\/11 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -363, -1579, -3665, -6633, -10495, -15263?\nAnswer: -20949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*t**2 - 817269*t - 612945.\nAnswer: -3*(t + 68105)*(4*t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 12 - (20 + -12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a613 - 35?\nAnswer: 2a589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 2*g**2 - g**2 + 2*g**4 + 3*g**3 - 33 + 18 in the form c*g**3 + o*g + i + s*g**4 + n*g**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 + 124. Calculate the greatest common divisor of u and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368520?\nAnswer: 2, 3, 5, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13 (b) 0.151 (c) 5 (d) -1.9 (e) 2\/15 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -46161848, -46161841, -46161834?\n\"Answer: 7*j - 46161855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 - 3*q**2 + 8*q + 10. Suppose 0 = -68*r + 62*r + 90. What is the remainder when t(-4) is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 - 68. What are the prime factors of k?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 38*g - 281. Let m be w(-28). What is the closest to m in 10, 0.5, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 24*h**3 + 3837*h**2 + 183362*h - 46088. Let p(s) = 2*s**3 + s**2 + s - 4. Let c(n) = 2*p(n) - u(n). Factor c(t).\nAnswer: -5*(t + 96)**2*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**7\/840 - l**6\/720 - l**5\/15 - l**2. Let n(v) be the third derivative of q(v). Is n(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w + 10*w + 19*w**2)*(-w**2 + w**2 - w**2) + (2*w**3 + 2*w**3 - 2*w**3)*(1 - 1 - w)*(-1 - 2 + 5).\nAnswer: -23*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -142*t - 40. Let s(h) = h + 1. Let z(d) = 2*r(d) + 6*s(d). Differentiate z(n) with respect to n.\nAnswer: -278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 14 = -2*r, 6*p + 593*r = 296*r + 296*r - 18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-17)*n*n\/(n*n**(-3\/19))*n)\/(n**(3\/14)\/(n\/n**(-1\/14))))**(-16) assuming n is positive.\nAnswer: n**(29760\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.93 - 0.07. Let n = t - -14. Which is the closest to 0.1? (a) -1\/5 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/4 - 151*g**2\/4 - 1406*g + 1444.\nAnswer: -(g - 1)*(g + 76)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1203030 (base 5) to base 13.\nAnswer: -a199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 5:31 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 4. Let o be b(5). Let g = o - -2. Let c = g - -3. Solve -4 = c*w - 2*p, w + 4*w - 2*p = -7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275*u = 285*u - 1373030. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 8*w**2 + w. Let f be m(-1). Let t(q) be the second derivative of 0 + 3\/2*q**2 - 4*q - 1\/6*q**3. Calculate t(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4 - 1 + 157*x - 156*x. Give l(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + 55?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - -1 - (-1 - 0). Let s be (1\/1 + z)\/(7\/(-126)). What is the second derivative of 7*g - 9*g + 21*g - s*g**2 - 2*g wrt g?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*y + 63*y = -962. Solve y*t - 27*t - 5 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 o when three letters picked without replacement from ookkokkokokkk.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*r + 192, -3*r - u = 2*r - 435. What is the highest common divisor of 43 and r?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2183192, -2183150, -2183108?\nAnswer: -2183066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.078744 + 1.9964. What is w rounded to four decimal places?\nAnswer: -0.0823","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50525 = -2097*r - 1017*r + 66702 + 256453 for r.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 122139 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 675*o + 2070.\nAnswer: -5*(o - 138)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39920 rounded to the nearest 1000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 2*g - 2, 4*g = -2*k + 9 - 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a + 2. Let n(x) = 10*x + 5. Let i(q) = -5*b(q) + 2*n(q). Let v(f) = 4*f. What is v(i(l))?\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/37 and 53\/31.\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 12:21 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7231 rounded to two decimal places?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -10. Let t be (h\/(-14))\/(-4 + 5). Let p = 3.589 - -0.411. What is the closest to -0.1 in t, 3, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 3*z + 4. Let x be v(3). Suppose -3*h - x = -13. Is h bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3, -9.3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - -4. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -313?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193601281.\nAnswer: 23, 743, 11329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/3*2*6264\/12. Let n = 17355 + q. Suppose 0 = 10*k - 2923 - n. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**2 - 2*r**2 + 2*r**2)*(-20*r - 5*r + 1 + 22*r + 57*r**2) to z*r + q*r**4 + v*r**2 + f + m*r**3 and give q.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 346 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1884 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 0 + 5\/3*k**3 + 0*k + 2*k**2 + 1\/24*k**4. Let r be ((-18)\/12*(-10)\/3)\/(-1). Calculate p(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 174*x**3 + 7*x**2 + 4*x + 4. Let d(q) = 520*q**3 + 11*q**2 + 11*q + 11. Let v(i) = 4*d(i) - 11*m(i). Find the third derivative of v(u) wrt u.\nAnswer: 996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*i - 5346 + 2174 = -111*i for i.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 644 = 4*i + 4*x, -4*i = -6*x + x - 662. List the prime factors of i.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 4*d**2 + 15*d - 79. Let k be g(6). Are 82 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7*s**3 + 1. Let f be (-445)\/(-15) - (-2)\/(-3). Suppose 85 - f = 4*q. Calculate the remainder when q is divided by g(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3269.523um?\nAnswer: 3269523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103133202 (base 4) to base 8.\nAnswer: 233742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 143082144 by -11923512.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 8:31 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3692 - -239978\/65. Calculate the common denominator of -69\/80 and n.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4239874*d**3*z**2 - 49158*d**3*z + 19*d**2*z - 3*d*z**2 wrt z?\nAnswer: 8479748*d**3 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3371827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.78174 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/102640220 and 54\/187?\nAnswer: 1129042420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-47)\/((-12)\/(-4) + -2). Let b be w\/(-9) + 1 - 2\/9. Suppose b*f - 11*f + 540 = 0. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3035254 + 213?\nAnswer: 3035511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 5, 158 = -5*b + 4*x + 68 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(10) + (sqrt(10) - sqrt(20)\/sqrt(2))) + 5.\nAnswer: sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2*28089664\nAnswer: 56179328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7031 = 34*r - 7643. Solve 0 = 4*i + b + 4, -4*i = -b - 6 + r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12591 - -12590.999997437. Round q to 7 dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b. Let m(o) = 945*o. What is w(m(g))?\nAnswer: -3780*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 8:12 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0 + 0)*(-3 + 3 + k**3) - 2*k**4 + 6*k**4 - 2*k**4 - 9*k**4 - 16 + 16 - k**4 - 2*k**4 + 2*k**4 + (3*k - 2*k - 2*k)*(-k - 2*k**3 + k).\nAnswer: -7*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1537, -1406, -1275, -1144?\nAnswer: -1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9130 and 10043?\nAnswer: 100430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004250106 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 9507*s**3 - 4*s**2 + 4*s + 9. What are the prime factors of r(2)?\nAnswer: 19, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, a: 3, k: 2, d: 2, n: 2, s: 2}. What is prob of sequence dn?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17714544 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 8. Let p = 1 - v. Let l(m) be the second derivative of m**4\/12 + m**3\/2 + 5*m**2\/2 + 34*m + 9. Give l(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -64, -58, -52, -46, -40?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22936 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 5) to base 14.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 631 = -3*p, 4*h - 780 + 152 = 4*p. 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 -27043.3 rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 251958 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 46 = 7*l. Suppose j - 89 = l. Let h(p) = p**2 + 4*p - 5. Let m be h(-7). Calculate the greatest common factor of m and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 367871027.9623 - 0.1\nAnswer: 367871027.8623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 11. Let z(x) = -5*x - 16. Let h be z(g). Which is bigger: h or 1\/12?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, -707, -3012, -7509, -14930, -26007, -41472?\nAnswer: -62057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 + 71. Is d > 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 21121010012?\nAnswer: -21121010020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2120 - 459. Suppose -34*n + 30*n = -i - h, 0 = -i + 3. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1158773, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (16 - (-14 + 13 + 32))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6*v**3 - 2*v**2 + 2*v - 1. Suppose 64*s = 628 + 76. Let b(t) = -31*t**3 + 11*t**2 - 10*t + 5. Give s*p(m) + 2*b(m).\nAnswer: 4*m**3 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (6 - (9 - 11))) + 11 + 21\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-180)\/27))\/12*368?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-24)\/64*2\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - o - 1. Let l(a) = 5*a**2 + 2*a + 8. Let v(c) = -l(c) - 4*m(c). Let r(y) = -2*y**2 + 3*y - 7. Determine -3*r(h) + 5*v(h).\nAnswer: h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1077.483 * -1\nAnswer: -1077.483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 13 = -2*f. Let v = 8 + f. Calculate the remainder when 13 is divided by v\/3*1*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 299, 1\/2, 0.3.\nAnswer: 0.3, 1\/2, 299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 10:33 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3\/8)\/m)\/(m**16*m))\/(m**(2\/9)\/m**(-6\/11)) assuming m is positive.\nAnswer: m**(-15161\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.1 + -336.9. Let u = 360.179 + g. Let t = 0.079 - u. What is the nearest to t in 3, -1\/15, 0.4?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*i - 4 = 0, -x + 2*i - 4 = x. Let o = 5 - -9. Calculate the least common multiple of x\/(-3)*(-24)\/(-1) and o.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 692, 5778, 19818, 47366, 92976, 161202, 256598?\nAnswer: 383718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - -0.2. Let f = 0.12 + -0.62. Which is the closest to 0.2? (a) f (b) -0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.616732 weeks in seconds?\nAnswer: 5211399.5136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52*c*m**2 + 9*c*m - 3281*c - 12382036*m**2 wrt c.\nAnswer: 52*m**2 + 9*m - 3281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372623.\nAnswer: 17, 23, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.1. Let y = t - 0.1000002. Round y to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13030, -26042, -39046, -52036, -65006?\nAnswer: -77950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -38*g. Let p be 99\/21 + 6\/21. Suppose 41 = -p*w + 106. Calculate the remainder when i(-1) is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 7 + (0 - (9 - 3)) - -26.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -50. Let g(r) = 3*r + 71. Let o be g(-23). Suppose -3*n = 6*s - 5*s - 22, s - o*n = 27. Is d bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1912 = -4*m + 4*l + 288, -4*m + 2200 = -3*l. What is the greatest common factor of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.1, -0.135576 in descending order.\nAnswer: 1, -0.1, -0.135576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -5, -8 in decreasing order.\nAnswer: 1, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -10, 3\/170, 5, -0.3, -0.5, -1\/5, 12?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00429260032 rounded to five dps?\nAnswer: 0.00429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -141*n - 278. What are the prime factors of z(-9)?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**3 + 48*m**2 - 5*m**3 + 27 - 17*m**3 - 22*m**3. Let p(t) = -7*t**3 + 7*t**2 + 4. What is 27*p(q) - 4*r(q)?\nAnswer: 3*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*y + 0*y**3 - 7*y + 5*y**3 - 3*y**2 wrt y?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5*6)\/((-42)\/(-105))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 9 - 47. Put b, 5, 1, -3 in descending order.\nAnswer: 5, 1, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/8 - (-42)\/8. Let f = -11\/2 + p. Which is the closest to 1? (a) -0.1 (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 42, 37, 40, 51?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 5 - 25, -4*y = -v + 44. What is the tens digit of 45*((-2)\/(-4) - 130\/y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 0 + 15. Let c be i*2*4\/(-6). Suppose h - 15 = c*t, 0*h + 5*t + 38 = 4*h. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 107 = -89. Let w be (y\/8)\/((-6)\/72). Let z(q) be the first derivative of q**3\/3 + 5*q**2 + 4*q + 5. Give z(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1750 + 10236?\nAnswer: 11986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -129*r**2 - 127*r**2 + r - 131*r**2 + 407*r**2 as d*r + b + m*r**2 and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -9*v - 273. What is k(-29)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 10*m - 2)*(0*m - 3*m + 4*m) in the form g + r*m**2 + u*m and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.3 (b) -5 (c) -1 (d) 5.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.201013429 to 3 dps.\nAnswer: 0.201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = 4*p + 51. Calculate the common denominator of 236\/p*-1 + 4 and 73\/33.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1067 + -1055. What is the highest common divisor of 102 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, y: 3}. Give prob of sequence ccyy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 444167346*t**4 + 30*t - 5214317 wrt t.\nAnswer: 5330008152*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6450789 is divided by 460767?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 4:03 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 19. Let n be f(-9). Let w be (1 + 14 + -5)\/1. Suppose -2*t - 3*q - q = -n, 2*t = -3*q + w. Solve 5*j - 5*c = t, 2*c + c - 13 = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-5)\/(17865\/(-6))). What is the third biggest value in 5, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.314 - -15.5. Let k = -0.18600113 + j. Round k to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000099878 rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223 (base 5) to base 4.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5317?\nAnswer: 13, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 7*h - 70. Let m(f) = -f**3 + 5*f + 47. Calculate -7*m(u) - 5*y(u).\nAnswer: 2*u**3 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u + 2. Let h(x) = -x. Let b(g) = a(g) - 2*h(g). Let t(j) = j**2 - 17*j + 12. Let n be t(16). What is b(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1122 + -603. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**2 + 4*q - 1. Calculate t(-4).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 21 - 4)*(27 - 27 - 4*k**2).\nAnswer: -116*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5428616464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 5*m - 15, -m - 36 = -4*n + 1. Solve 0 = 2*b - 3*p + 8*p + 4, -5*b + 2*p - n = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 1\/8, -5 in descending order.\nAnswer: 16, 1\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14555 + 14582. What is the highest common divisor of k and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.9065 weeks to days.\nAnswer: 20.3455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2295 divided by -2295\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 554532914 to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -89*i - 29. Let s(f) = f**2 - 116658*f + 116658*f. Give g(s(w)).\nAnswer: -89*w**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 - 6*s + 9. What is j(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2706, 2758, 2808, 2856, 2902, 2946?\n\"Answer: -p**2 + 55*p + 2652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 - 16*t - 35 to d + z*t and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14544, -14459, -14374, -14289, -14204?\nAnswer: -14119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608 is divided by 140.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80 - -238. What are the prime factors of o?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ydse when four letters picked without replacement from syysydyjaydydeedys?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 2. Let h = -7 - -3. Let k = 61722 + -61721.9. Which is the smallest value? (a) k (b) h (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 391873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -14*j - 1. What is s(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*o + 2016, 21*o + 4067 = 25*o + t. Is o a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110 + 120. Let r be 5\/30*8*1\/i. What is the closest to -17 in 3\/2, 1\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.053\nAnswer: -0.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 41.\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012863524 rounded to seven decimal places?\nAnswer: -0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 329\/2 - 1\/(-2). List the prime factors of (-2)\/14 - g\/(-77).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/81)*i*i**(2\/13)*i**23\/((i\/i**(-2\/33))\/i) assuming i is positive.\nAnswer: i**(279358\/11583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -52*u**2\/5 - 1604*u\/5 + 248\/5 = 0. Calculate u.\nAnswer: -31, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284591 divided by -1407?\nAnswer: -913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 245282963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c + 135. Let j(x) = 32*x - 4840. Let d be j(150). Calculate b(d).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*v = -33, -2*t - 4*v + 9 - 3 = 0. Suppose 0*k = 2*k. Put t, -4, k in decreasing order.\nAnswer: k, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(1 - 11\/12). Let n(k) = k - 6. Let f be n(18). Calculate the highest common divisor of f and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286739 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -13 + 1 + 1 + 4*i - 5*i**2 - 3. Let a(o) = -11*o**2 + 9*o - 29. Give 4*a(t) - 9*f(t).\nAnswer: t**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -292765, -292762, -292759, -292756, -292753?\nAnswer: -292750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, -35, 5\/3, -2?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 427 - 426.99205. What is a rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18150000 rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162859646.\nAnswer: 2, 3, 13, 14908457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -47275*v + 1323745. What is m(28)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.15659 rounded to 1 dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.7954 + -2.8043754. Round a to 4 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, l: 3}. What is prob of sequence lddd?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.36 rounded to 0 dps?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -210130000?\nAnswer: 210123330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -33, 3 in increasing order.\nAnswer: -33, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6124259 and 2773.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -710*n**3 - 47*n**2 + 18*n - 634?\nAnswer: -4260*n - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -3 (b) -5\/2 (c) 1\/2 (d) -4 (e) -6690\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 1\/40*q**5 - 4*q - 7\/24*q**4 + 1\/2*q**3 + 0*q**2 + 0. Let s(u) be the second derivative of o(u). What is s(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 325*x - 1880. Give q(6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0)*(12\/14 - 3551\/1407)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(11) - (0 + sqrt(22)\/sqrt(2))) + -1 + sqrt(11) + -1).\nAnswer: -10 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-179)\/(5 + (-33)\/6)?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 405867 - 1.\nAnswer: 405866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.7898963.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = v - 2*v. Find the first derivative of 100*r + v - 100*r + 3*r**2 wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.794576 to 2 decimal places.\nAnswer: 33.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2 - 11*q - 11. Let n(x) = -2*x**2 - 35*x - 9. Let d be n(-15). Let k(r) = 3*r - d*r**2 + 3 + 130*r**2 - 65*r**2. Determine 6*c(z) + 22*k(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 + 104. Suppose -5*b + 5*x + f = 0, -29 = -4*b - x + 13. Suppose 0 = -5*o + b, -4*r = o - 4*o - 10. Solve -2*i + 8 = -r*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1513, 1980, 2419, 2824, 3189, 3508, 3775?\n\"Answer: -p**3 - 8*p**2 + 498*p + 1024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**3 + 2*m**3 - m**3)*(2*m + 362*m**2 - 49839 + 24920 + 24918).\nAnswer: -724*m**5 - 4*m**4 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u**2. Let o(m) be the third derivative of m**6\/240 + 37*m**4\/24 - 6*m**2. Let a(i) be the second derivative of o(i). What is a(v(z))?\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, v: 1, j: 3, n: 1, s: 3, g: 2}. Give prob of sequence sv.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 2 + sqrt(192))*-5*-1 - 1*-2*sqrt(192)*1*-1)**2.\nAnswer: 1200*sqrt(3) + 2353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5701 - 10149. What is y rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/9)\/((-2)\/((-14)\/1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -619, -0.3, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-282*u**5 + 2813*u**3 - 2813*u**3)*(2 - 2 + 2) + (0 + 0 - 2*u)*(-u**4 + 4*u**4 - 4*u**4) - 3*u + u**5 + 3*u.\nAnswer: -561*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 7:59 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/40599 and -14\/4614753.\nAnswer: 13844259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - -0.3. Let t = -70 + 69.9. What is the biggest value in w, -1, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*9\/(-18018)*-4*((-42)\/(-8))\/(-1)?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 7 + 3*q - 4 - 4 in the form g + f*q and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b - 12*b**3 - 23022*b**2 + 2*b**4 + 16*b**3 - 4*b**4 + 23096*b**2 + 3 in the form g*b**3 + n*b**4 + h*b**2 + m*b + r and give h.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.26 + 8.76. What is the closest to -6 in 4\/5, -4, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 4*v**2 - 6*v + 2. Let o(c) = c**3 - c. Let f(z) = -2*o(z) + s(z). What is f(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -283, -566, -849, -1132?\n\"Answer: -283*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 - -6.16. What is p rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 2*h + 127, -2*h + 13*q - 14*q = 27 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/30*(-108)\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 11*n + 4. Suppose 6*q = -6*q + 72. Calculate s(q).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -26 + 10 + 2 - 8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/6*m**2 + 110\/3 + 56\/3*m = 0 for m.\nAnswer: -110, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2962 is divided by 89.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*n**3 + 20*n**3 + 0*n**2 - 39*n**3 + n**3 + 10 + 5*n**2 to z + s*n**3 + q*n + a*n**2 and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 9. Let r(x) = -6*x**2 + 6*x - 1. Let a(q) = -7*q**2 + 7*q - 1. Let g(h) = 3*a(h) - 4*r(h). What is g(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2215\/2 - -1112. Let d(x) be the first derivative of -6 + f*x**2 + 0*x + 2*x**5 + 0*x**4 + 0*x**3. Find the second derivative of d(s) wrt s.\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1450?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -9.7. Let m = q + -14.98. Let w = -3.3 - m. Round w to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 2*y**2 + y + 12. What is v(-4)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 30*r = -33*r, 5*g + 3*r = -18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 2:19 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 475\/59 + -8875\/1652. What is the common denominator of d and -63\/10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -3*f + 60 - 1\/2*f**2. Let r(m) be the third derivative of -m**4\/12 - m**3 + 2*m**2. Calculate 5*j(q) - 3*r(q).\nAnswer: q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78873 is divided by 111.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-400)\/40 - (-86)\/9.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -572956 divided by -343?\nAnswer: 572956\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/44982 and 13\/756?\nAnswer: 89964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 53*j**2 - 3*j + 34. What is the thousands digit of l(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 6) + (-47 - -46) + 2 + 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -2159181\nAnswer: 2159181.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*j*x*z**2 + 122*j*x*z - 2*j*z**2 - 1302*j*z + 136*x*z**3 - 7*z**3 wrt z?\nAnswer: -40*j*x - 4*j + 816*x*z - 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h + 131 - 131. Let i(a) = -4*a - 1. What is 2*i(r) + 3*l(r)?\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6013 - -0.1013. Let d = -2\/653 + 2626\/4571. Put 1\/2, x, d in increasing order.\nAnswer: x, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11592900 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 g, and 1 q when three letters picked without replacement from {w: 2, g: 4, f: 1, q: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8*p - 83. Let u be x(14). Does 25 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-150)\/(-625))\/(7*(-10)\/(-175)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + (0 - -5) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 minus 43?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gaz when three letters picked without replacement from {q: 1, e: 3, a: 7, z: 7, g: 2}?\nAnswer: 49\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-146)\/219)\/(1\/9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 - 4*i + 5. Let u(o) = -o + 1. Let g = 10 + -9. Calculate g*n(d) - 5*u(d).\nAnswer: -2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1100110 (base 2) to base 11\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + -11 + 0 + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z + 15 = 0. Let s = z - 0. Let u be (41 + -25 - 9)*(0 + (-2 - -3)). Solve 0 = l + t - s, -4*l + 4*t - u = -t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**2 + 0*c**2 + 0*c**2 + 3*c**2 + c**2 - 5*c**2 + (4*c + c - 3*c)*(c - 3*c + 4*c) + 5*c**2 - 3*c**2 - 3*c**2)*(28*c - 122*c + 32*c - 1).\nAnswer: -434*c**3 - 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24782)\/6 + -1)\/(586\/(-879)). Let q = 1548884251\/249820 + 612\/12491. Let a = b - q. Find the common denominator of 73\/86 and a.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 8*c - 3. Let r be x(3). Is 57\/5 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 962291.7km in centimeters?\nAnswer: 96229170000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -27. What is the nearest to 0.06 in 0.4, x, 2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62043 - -0.5?\nAnswer: -62042.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5 + 11 - 86*w + 85*w. Give o(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*a, h - 5*a = 62. List the prime factors of h.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -10. Let r(j) = -3*j + 12 - 19 + j + p. Calculate r(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 6 = 251. Let y = h - -60. Solve 5*g = 4*m - 13, -2*m + g = 2*g + y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 42)\/(1\/(-3)). What is the common denominator of i\/(-36) + (-1)\/(-4) and -32\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-33)*1\/(1*9\/(-54)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2201 = 3*d + 2186 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 1 - 39 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 8:05 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n**1\/n))\/n*n)\/n)**3)**(-34) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n + 12. Let j(a) = -3*a + 16 + 2*a - 3*a + 2. Let w(g) = -8*b(g) + 5*j(g). Calculate the least common multiple of w(5) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -5, -1, 3142?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*y - 79 + 30*y - 16*y)*(0*y**2 + y**2 + 0*y**2)*(0*y + 0*y + 2*y).\nAnswer: 6*y**4 - 158*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/30*-2 - 0. Let z be ((-117)\/(-4))\/((-63)\/(-483)). Let r = 224 - z. Sort -0.06, r, 4, n.\nAnswer: r, n, -0.06, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83 (base 16) to base 9.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(135\/36)*12\/(-6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5) + (-1862)\/(-95).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svsv when four letters picked without replacement from vsssvvssvs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4*m + 5. Suppose 5*g + 0 = 5. Let w(p) = p - 1. Let z(l) = g*k(l) + 3*w(l). Give z(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19917519 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(19) + sqrt(475) + 5.\nAnswer: 1 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**2\/h*h*h\/(h**(1\/4)*h)*h**5*(h\/h**(-2))\/h*h assuming h is positive.\nAnswer: h**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -4407, 2, 3, -0.06 in descending order.\nAnswer: 3, 2, 2\/3, -0.06, -4407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/20*5035\/159. Solve -4*q - h = -69 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h**3 + 35*h**2 + 72*h - 11. Let w(k) = k**3 + 7*k**2 + 14*k - 2. Let l(n) = 2*p(n) - 11*w(n). Calculate l(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -8*a + 12. Let u be t(2). Let d = 5 + u. Let r(w) = 271*w**2 + d - 270*w**2 - w - 3. What is r(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230802274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j + 121. Let u be m(17). Let y(s) be the first derivative of 7 - 1\/2*s**u + 2*s. What is the first derivative of y(z) wrt z?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 + 26. Let m = 834 + -817. Calculate the remainder when i is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 11. Let y be b(-10). Find the second derivative of -1 + y - c**4 - 9*c + 11*c wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 7:34 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6103 - (-10)\/((-190)\/209)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-407)\/(-44) + -6 + -3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-4)\/2*(-1)\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t*t*t**(3\/4)*t*t\/t**4 assuming t is positive.\nAnswer: t**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence depe when four letters picked without replacement from dppee?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, p: 7}. What is prob of sequence hhh?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16589 + -16594. Sort -1041, 2, h in decreasing order.\nAnswer: 2, h, -1041","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8*d + 114*d + 7 - 7. Let v(o) = o. Calculate h(v(w)).\nAnswer: 122*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 849 - -582. What is the greatest common factor of z and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1001 is divided by 140.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 w when four letters picked without replacement from {t: 13, w: 6}?\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2 (b) 4 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -18.900531003218?\nAnswer: 16.900531003218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 5\/8, 1 in ascending order.\nAnswer: -4, 5\/8, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39092*v + 377*v**2 + 78181*v - 39089*v.\nAnswer: 377*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 15*o**2 + 2*o + 14. What are the prime factors of d(15)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.08 + -20. Let u = h + -0.08. Which is the third smallest value? (a) -0.01 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 10*m + 4. Let u be s(-10). Suppose -u*i = i - 185. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*g**3*o**3*p**2 - 3*g**3*o**2*p**3 + 12*g**3*o**2*p**2 - 2*g**3*o*p + 69*g**2*o**3*p**3 wrt o?\nAnswer: -222*g**3*p**2 + 414*g**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttrttrrt. Give prob of picking 4 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 + 8*a + 111. Determine g(-7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.8791 + -0.0191. Let z = y + 0.14. What is the nearest to -1 in -5, -1\/7, z?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 162 - 148.6. Let h = 13.7 - i. Let p = 0 - 0. Which is the closest to 2\/7? (a) h (b) 7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/9 + 170*r\/9 + 1628\/9.\nAnswer: 2*(r + 11)*(r + 74)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (62\/4 - -6)*26 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 + (-29 - 5 - -37) - 41?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 7*l**2 + l + 10. Let w be h(-7). Let m be 1*(-6)\/(-2) + -1. Suppose -5*p + 3*v + 43 = -14, -m*v + 10 = 2*p. Solve -p = -w*z - 0*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 12*n - 4. Determine j(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111.02 + 110.92. Suppose -34 = -2*i - 4*v, -v + 2*v = -3*i + 66. Let j be 2\/(-2)*2\/i. Sort j, o, -0.08 in descending order.\nAnswer: -0.08, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3451 - -20?\nAnswer: -3431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 51.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*d + 82*d = 149*d + 5120 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289602433 is divided by 733.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + a**2 - 3*a**2)*(14 + 8*a - 9 - 4) + 69*a**3 + 46 - 101 + 55.\nAnswer: 37*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 0 - 4\/11*u**2 - 2\/11*u + 14\/11*u**3 - 8\/11*u**4 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 10:03 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -18*z**2. Let r(f) = f**2. What is m(r(i))?\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2175179 to the power of 1\/2, to the nearest integer?\nAnswer: 1475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345339 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1327*1.34.\nAnswer: -1778.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2327*r - 800*r + 12982 = 751 - 106875 for r.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*m - 80 = -5*k, -2*m = -k + 17. Calculate the remainder when 42 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6587097461 and 2292.\nAnswer: 6587099753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2525053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/n**(7\/2)*n*(n**5*n)\/n*n*n**4*n**9\/n assuming n is positive.\nAnswer: n**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 - 3)*(-34*y - 33*y + 25*y) - 3*y - 2*y + 3*y as n*y + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 250 and 550.\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven eighths of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-21)*2\/(-4). Which is the nearest to 0.1? (a) u (b) -1\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 597310.\nAnswer: 10751580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5598 and -282644.\nAnswer: -277046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -671222, -1342339, -2013456, -2684573?\nAnswer: -3355690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1638 and 2498.\nAnswer: 2045862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/6003 and 43\/72297?\nAnswer: 1662831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 739523919.\nAnswer: 3, 17, 101, 143569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -43*v. Let u(h) = 2*h**2 + 4*h. Let x(p) = 2*p**2 + 6*p. Let r(i) = -3*u(i) + 2*x(i). What is r(w(f))?\nAnswer: -3698*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-7 - 7))\/(-1 - 4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 2*t + 36, -48 = -4*n - 8*t + 3*t. Let z(k) = 3*k**2 + 6*k - 43. What are the prime factors of z(n)?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a meter in centimeters?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2410?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 3495696*d - 763743157776.\nAnswer: -4*(d + 436962)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*o**4 + 17235013*o*y**2 - 7600*y**2 - 2770 wrt o.\nAnswer: 8*o**3 + 17235013*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 56*o + 338. Is 5 a factor of i(-63)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33822?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 648670 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2706 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 9*s + 13. Let g be w(-10). Suppose g*p = -4*p + 189. Is p less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -192\/966407 or 0?\nAnswer: -192\/966407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487549 is divided by 243774?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 60517.\nAnswer: 60519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 2)*(-13580*j**2 - 5428*j**2 - 4904*j**2 - 5891*j**2) to the form k*j + r*j**2 + a and give r.\nAnswer: 29803","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2049)\/10245)\/(2\/(180\/(-39))).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/3 - 5*u\/2 + 4\/3.\nAnswer: -(u + 8)*(2*u - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385.827l in millilitres?\nAnswer: 1385827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 1.6691.\nAnswer: 1.7691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1060*t + 2679*t + 1762*t)*(-2*t + 0 + 0) as n*t**2 + u*t + o and give n.\nAnswer: -6762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -1\/3 (b) 3\/4 (c) -12\/7 (d) -4 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -252*j + 61073 - 30473 + 52560. Suppose 0 = 2*v - 2*u - 90 - 178, v + 5*u = 122. What is the greatest common factor of j and v?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.3370922 rounded to 1 dp?\nAnswer: -83.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -166 - -255. Suppose 54 + v = 13*u. What is the first derivative of f - 8*f + 7 - u*f - 5*f wrt f?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d. Let a(j) = -6058481*j. What is a(t(i))?\nAnswer: -42409367*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.43 + -0.43. What is the biggest value in -2\/11, o, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p + 57 = 327. Calculate the remainder when 244 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0173743424 to seven decimal places.\nAnswer: 0.0173743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 222 - 211. Suppose -2*j + 4 = -0*j. Calculate the remainder when k is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*s**3 + 10*s**3 - 18*s**3)*(2 - 2 + 5*s)*(4 + 1 - 2) - 5*s**2 + 2 - 6 + 2*s**2 - s**4.\nAnswer: 269*s**4 - 3*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 + -32. Let v be (-2 - -1)\/((-7)\/c). Factor -4\/9*w**v + 0*w**4 + 0 + 0*w**2 + 2\/9*w + 2\/9*w**5.\nAnswer: 2*w*(w - 1)**2*(w + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*f + 205*f - 405*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7*p - 20 = 0. Suppose -2*q = -3*j + 27, 0*q = 2*q + 6. Find the second derivative of k**p - k + 2*k - j*k**4 + k wrt k.\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292102?\nAnswer: 2, 146051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1*i**(-2\/23))**11)**(2\/21) assuming i is positive.\nAnswer: i**(22\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 29*q - 44. Determine g(-34).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*r + 8, c = 5*c + r - 4. Suppose 0 = 5*l - 4*l - 5. Solve 2*k - k - l = 0, -18 = 2*i - c*k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 0)*(-3*n**2 - 2*n**2 + 4*n**2) + 16*n**2 + 0*n**2 - 3*n**2)*(2 - 2 + 2*n**2).\nAnswer: 28*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/3))**(-8\/9)\/((f**(-1)\/f)\/f*f)**(2\/31))**(1\/17) assuming f is positive.\nAnswer: f**(604\/14229)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -515, -213, 87, 385?\n\"Answer: -a**2 + 305*a - 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4264 - 540. Calculate the greatest common factor of 196 and f.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 357*k**2 - 1. Let v(c) = -444*c + 49. What is v(z(x))?\nAnswer: -158508*x**2 + 493","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 38*n**2 + 38*n**2 + 14 - 15*n + n**3 - 61*n**2. What is y(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -7324063.\nAnswer: -7324063.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.352 and 5?\nAnswer: -1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z**5\/4 + 115*z**4\/6 - 2436*z - 2. Factor d(o).\nAnswer: -5*o**2*(o - 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r - 18. Let k be t(-9). Suppose -4 + k = -s. What is the remainder when 19 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 1 - 15) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*w + 6. Suppose 0 = -4*b + w*a + 5568, 2768 = 2*b + a - 6*a. What is the common denominator of b\/84 - (-45)\/(-105) and 31\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.073 + -0.027. Let u = -224\/1955 + -6\/1955. Let g = -101 - -401\/4. Which is the nearest to g? (a) t (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 0*q = -752. What is the remainder when q is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 48 = -5*h + 3*q, -q + 104 = 5*h. Suppose -9 - 21 = -5*z - 5*k, -4*z + h = 5*k. Let a = -170 + 173. Solve -a*w = 4 - z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4 = 140. Suppose -2*w + w = -n. Suppose 0 = -5*b + 4*f - 0*f + w, -3*f = -12. Solve -25 = 5*t + 4*h, 2*t + 0*h = -2*h - b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -479, -3, 0.232?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27265.\nAnswer: 5, 7, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2007804656.\nAnswer: 2, 11, 13, 47, 18671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -105809 divided by -14\nAnswer: 105809\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 10:41 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1322114, 2644249, 3966396, 5288561, 6610750, 7932969, 9255224, 10577521?\n\"Answer: l**3 + 1322128*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010011000 (base 2) in base 8?\nAnswer: 5230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5542 - -5803. Does 87 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**5\/7 - 330*l**4\/7 + 4100*l**3\/7 + 117840*l**2\/7 + 23040*l - 110592\/7 = 0.\nAnswer: -12, -2, 1\/2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -o - 7*o. Suppose -335 = -o*c + 15*c. Let j = 86 + c. Solve -4*b + j = 3*l, b + 4*l = l + 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 1888841?\nAnswer: -1888841.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5521, -3, 14, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-513)*5\/(-3)*27\/(-10)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*l**2*s - l**2 + 9*l*s - 2134*l - 118952002*s wrt l?\nAnswer: 6*l*s - 2*l + 9*s - 2134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20ad (base 15) in base 12?\nAnswer: 4001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1857, -5869, -12171, -20763, -31645?\n\"Answer: -1145*l**2 - 577*l - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4472651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by 8483?\nAnswer: -31\/8483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10539 is divided by 8960.\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/147605 and -49\/8355.\nAnswer: 442815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 10*v**2 + 9*v + 25. Let h be f(11). Solve 0 = -h*u + 2 - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 + 28*l**2 - 8*l - 62. Determine h(-14).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 - -55. Let j = -45\/94 - 1\/47. What is the smallest value in 4, 6\/7, j, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2\/7 + 864*s\/7 - 1744\/7.\nAnswer: 4*(s - 2)*(s + 218)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -8 (b) -2\/7 (c) -1 (d) 2\/55 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*m - 52, 60 = 2*b - m - 0*m. Let c(q) = b - 16 - 12 - 2*q. What is c(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.18 in 0.3, -0.2, -2\/3, 1\/53?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 1. Let d(o) = o**2 + o - 9. Let a(z) = d(z) + 5*i(z). Let h(x) be the first derivative of 4*x**3\/3 + x**2\/2 - 3*x - 11. Give -5*a(b) + 7*h(b).\nAnswer: -2*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bd2c1 - -9?\nAnswer: -bd2b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/730 and 39\/40.\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -91*h - 87. Let q be d(8). Let p = 1424 + q. Is p a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39623649?\nAnswer: 3, 13, 1015991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 - (9 - (-2 + 6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.1 + 1.2. What is the nearest to 0.1 in 1, -5, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19231823*l**2 - 2*l - 12285291?\nAnswer: -38463646*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 3*c + 5. Let t be s(-8). Let n = t - -45. Let v = -23 - n. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 2:31 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 5, 0.5.\nAnswer: 0.5, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*z + 35*z + 1070. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -946.\nAnswer: 1\/946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.0481377 and -0.2.\nAnswer: -0.20962754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47817281?\nAnswer: 19, 457, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71505 = 346*t - 104449 - 18314 + 19884. Let h = -127 - -183. What is the greatest common divisor of h and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410 a factor of 14910750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/35 or 19?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637)*1 + 4 + 5)**2 - ((5 + 1 + sqrt(637))**2 + sqrt(637) - sqrt(637) - (sqrt(637) - (1 + sqrt(637) + 0)))) + 2.\nAnswer: 46 + 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*3*(-2)\/18*-8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -273, -644, -1173, -1866, -2729?\nAnswer: -3768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 6*x**2 + 2*x + 3. Determine j(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 108\/227231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (1930\/(-100) - 0)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 331934 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 3 = 5682*m - 5685*m, 33 = -m + 11*j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxshxxxxsxxsxh.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -2\/593 (c) 2\/7 (d) 0.15 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 45811419?\nAnswer: 183245676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23002731.\nAnswer: 3, 851953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9448 and 648?\nAnswer: 765288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-9)*u**(2\/15))**6\/((u\/u**0*u)**6*u**8*u*u*u*(u**(-2\/21)*u)\/u*u*u*u*u*u) assuming u is positive.\nAnswer: u**(-8516\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 - 110 - 89 - 88 + 379 - 92.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6961841923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0002, -0.137, 0.3, 6, -4 in decreasing order.\nAnswer: 6, 0.3, 0.0002, -0.137, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 93, -0.004 in increasing order.\nAnswer: -0.2, -0.004, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}