diff --git "a/data/dm_maths/full_data/1895_11255.jsonl" "b/data/dm_maths/full_data/1895_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1895_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Rearrange (4*c + 0*c + 2*c)*(-c**2 + 2*c**2 - 6*c**2) + 344*c - 344*c - 215*c**3 to the form h*c**3 + m*c + x + p*c**2 and give h.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.99 and 140111617.\nAnswer: 140111614.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r + 26*r - 25*r - 3*r - 6 + 3*r**2. Calculate t(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 - -51.13. Is -3\/2 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3537 and 540?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 208.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -886*q = 9447 + 10539 + 29630 for q.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 5*l**2 + 4*l + 6. What is t(3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20366 (base 7) to base 3.\nAnswer: -20212002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 40 (b) -60\/19 (c) -0.2 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/1125*-84*(-160)\/(-28)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 12. Let o be (-3 + a)\/(-2 + 0). Suppose 80 = 4*c + 4*d, c - 3*d - 3 - o = 0. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/10 and -47 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 divided by -34?\nAnswer: 57\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, -570, -1551, -2918, -4665?\nAnswer: -6786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3409.\nAnswer: 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15370.\nAnswer: 2, 5, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 13. Let k be -1 + (r - (0 + -17)). Suppose -28 - k = -2*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 135 - 1818*i - 1902*i - 45 - 44 - 48 as d*i + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9688671*g**2 - g + 31585455 wrt g.\nAnswer: -19377342*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 2:41 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3422, -3964, 5 in descending order.\nAnswer: 3422, 5, -3964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*h = -4710. Suppose -8100 = 3*y - 5*j + h, 0 = -5*y - 5*j - 16090. Round y to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8226 and 14?\nAnswer: 57582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -399 in -3, 0.5, 4, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m**3 + 10*m**3 - 562*m + 538*m.\nAnswer: 2*m**3 - 24*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*4*4\/34*(-47)\/94?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6705 by 745.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 5*g - 62925, -p - 373*g + 20962 = -379*g. Calculate the remainder when p is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70322.3 millimeters to kilometers.\nAnswer: 0.0703223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2 - 33*g + 32. Let s be t(10). Solve -5*d - 4 + 16 = a, -d = -s*a + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 - -3.8. Let s = y - 2. Let b = s + -0.7. What is the biggest value in b, 3\/4, 0.4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*a*o**3*w**2 - a*o**3*w - 2*a*o**2 - 2*a*o*w**2 + 4*o**3*w**3 + 80*o*w**3 - 2*w wrt o?\nAnswer: -138*a*w**2 - 6*a*w + 24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 + 5*s**3 - 2*s**3 - 4*s**3 - 4. Let n(g) = -15*g**3 + 55. Calculate -55*i(h) - 4*n(h).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16734 is divided by 60?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3639723?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand b - 2*b**2 - b + (b - 3*b - 3*b)*(0*b + b - 3*b).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12715 - -20856. List the prime factors of q.\nAnswer: 7, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 9:09 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 28*f. Let q(o) be the third derivative of o**4\/8 - 3*o**2 - 140. Give p(q(g)).\nAnswer: 9*g**2 + 84*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*3185.28\nAnswer: -191.1168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 2\/3, 3\/53, -3\/5, 178\/5 in descending order.\nAnswer: 178\/5, 4, 2\/3, 3\/53, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 5*i - 28, -3*i - 8 = -2*k - 3*k. Suppose 2*x = -0*x - v + k, 4*x = -3*v + 10. Suppose -4*j = -5 + x. Is 3\/2 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001663376 to seven decimal places.\nAnswer: -0.0000166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -67*d. Let o(z) = 10*z. Determine o(n(k)).\nAnswer: -670*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d = 18 - 36 - 40 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/5 of a millennium in years?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y = -0*y - 375. Let v be 0 + 1 + (7 - 190\/y). What is the closest to 1 in -0.22, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -158*a**3*l**2*z**2 + a**3*z**3 + 2*a**2*l**2*z - 2*a*l**2*z + 50*z**3 wrt a.\nAnswer: -948*l**2*z**2 + 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*d**2*o*t - 2*d**2*o + d**2*t - 4*d*o*t - 5*d*o wrt d.\nAnswer: 22*o*t - 4*o + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-92)\/(-230))\/((-3)\/10)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 8, 5*r + 6*g + 1 = 2*g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 11 = 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzbbbbmbzbzbbbzbb. Give prob of sequence zzbm.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 511341, 511343, 511345, 511347?\n\"Answer: 2*o + 511339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -947c (base 14) to base 2\nAnswer: -110001111110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 0.1 (c) -3 (d) -1\/3327\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5309, -10515, -15721?\n\"Answer: -5206*l - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -287 - -287.2. Sort 2, -2, 5, n in ascending order.\nAnswer: -2, n, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4 + 551*k**3 - 628*k**3 + k**2 + 3*k as c*k + j*k**2 + g + u*k**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 8:43 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 4. Let h(v) = v**3 + 8*v**2 - 11*v + 7. Let o be h(n). What is the greatest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*v**2 + 12*v**2 + 5*v**2 + 85*v**2.\nAnswer: 126*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8241 - -8247. What is the least common multiple of h and 171?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 2:45 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 318060*c**2 + 6322476192*c + 6322794256.\nAnswer: 4*(c - 39758)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 96*w + 108*w + 91*w - 290*w. Let r(k) = -8*k**2 - 17*k**2 - 4*k**2. Give r(i(j)).\nAnswer: -725*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 95681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 - 212*r - 210.\nAnswer: -2*(r + 1)*(r + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence klo when three letters picked without replacement from ltoallksltkaaltakl?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4c9 - 1036b?\nAnswer: -10834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 11*v**2 + 22*v - 15. Let i be q(-8). What is the nearest to i in -1, -1\/4, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60c8 (base 15) to base 5\nAnswer: -1123223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 301447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -p, -5*p - 41 = 2*y - 14 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 12:16 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s - 2. Suppose 87 = -17*b - 100. Let j be (9\/b - 46\/253)*4. Determine g(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, m: 1, q: 1, v: 7}. What is prob of sequence qc?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**9\/7560 + j**5\/30 - j**4\/8 + 3*j**2. Let o(q) be the second derivative of z(q). Differentiate o(p) wrt p.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 - 23*s - 16. What is the thousands digit of l(29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5074918?\nAnswer: 2, 2537459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 17\/6 of a minute?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91*c**5 + 598*c**4 - 661052*c + 2 wrt c.\nAnswer: -1820*c**3 + 7176*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**3 - 20*a**2*w**3 - 983*a*w**3 - w**3 + 2*w**2 - 14*w - 1638 wrt a.\nAnswer: -9*a**2 - 40*a*w**3 - 983*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from oogooooogogo?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1864?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 652856\/197 + -3314. Let u = 3.4 + -3.3. Are c and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f + 12. Let y(l) = l**2 - 13*l - 6. Let s be y(13). Let m(u) = u**2 + 7*u + 3. Let z be m(s). What are the prime factors of j(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2))**28\/(i**2*i**(-5)))\/(i**12\/(i**2*i))**(-1) assuming i is positive.\nAnswer: i**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (16 - -5 - -4) - 52\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 4:57 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 times 0.72\nAnswer: 1.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1591234206 to the power of 1\/2, to the nearest integer?\nAnswer: 39890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**4 + 4*n**3 - n**2 - n - 1. Let b(w) = 5*w**4 + 164*w**3 + 6232*w**2 + 11394*w - 17789. Let o(x) = -b(x) + 2*v(x). Factor o(g).\nAnswer: -(g - 1)*(g + 3)*(g + 77)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*x - 8*x - 4*x)*(3 + 2*x - 3 + 58*x + 34*x - 20*x + 3 - 3 + x + (0 + 0 - 2*x)*(1 - 3 + 0)).\nAnswer: 869*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {g: 3, o: 2, p: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6305785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**4\/4 + 26*r**3\/3 + 2*r**2 + r - 24. Let l be w(-11). Suppose 6*y + 194 = l. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b9156 (base 12) to base 2.\nAnswer: 10110101000010010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1404 (base 11) to base 15\nAnswer: -814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -300*g**2 + 2*g + g**3 - 3 + 592*g**2 - 294*g**2. Suppose 206 = 4*l + 198. Give p(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14123, -19187, -24251?\nAnswer: -29315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 233, 767, 1657, 2903, 4505?\nAnswer: 6463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.8 + -0.8. Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 23589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 25, 63, 123, 211, 333, 495, 703?\nAnswer: 963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139, -141, -143, -145?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = -5*q - 0*q + 4*a, -4*q = -5*a + 40 + 30 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-8)*(-8 + 4). Which is the nearest to 0? (a) 1\/5 (b) p (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*d + 178 = -314, 12 = 4*d. Does 12 divide 0\/1 + v\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -9244*x + 535. List the prime factors of i(-4).\nAnswer: 37511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g**2 - 10*g**2 - 27*g**3 - 2*g**2.\nAnswer: -27*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, m: 4, x: 5, d: 1}. What is prob of sequence hx?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 65? (a) -38 (b) -288\/5 (c) 0.2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 379 + 393 - 770 - 19*j. Let b(t) = -t**2 - 15*t. Determine b(z(r)).\nAnswer: -361*r**2 + 361*r - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 3 - (1 - 3\/5). Let f be ((-6)\/4)\/(3\/(-20)). Suppose -6*z + z + f = 0. Is r greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/1)\/(222\/1110)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44009 - 509*o + o**2 + 44009.\nAnswer: o**2 - 509*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 + 62. Suppose -10 = -c - x. List the prime factors of 438\/(c - 2)*4\/(-12).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 51*(-13)\/(-26 + 13). Solve m = 3*i + 39 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(-4)\/12*33. Let t = -109 - -61. Let l = r - t. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -666538, -666539, -666540?\n\"Answer: -g - 666537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*d**2 + 57*d**2 - 4*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -11*z - 7. What is o(1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (8 - -10) - (-4 + (1 - -4))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**5 - 68*n**4 - 7*n**3 - 13876*n.\nAnswer: 20*n**3 - 816*n**2 - 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (38\/20*-204)\/((-11)\/55). Suppose x + c = 2*p, 2*x + 4220 = 5*p - 623. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2388 - 2229. What is the remainder when 344 is divided by w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 7*b**2 - 2*b + 56. Let y(z) = 2*z**3 + 3*z**2 - 2*z + 57. Calculate 2*p(s) - 3*y(s).\nAnswer: -4*s**3 + 5*s**2 + 2*s - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 24*x**2 + 15 + 16*x - 11*x**2 - 7*x**2. Is i(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34956086?\nAnswer: 2, 11, 19, 241, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3\/2, 38, 85, -0.2 in increasing order.\nAnswer: -0.2, 3\/2, 4, 38, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*t**2 + 36*t**4 + t**5 - 21*t**4 + 31*t**2 + 5*t**5 - 3*t**5 - 4*t**5 + (t**2 + 4*t**2 - 3*t**2)*(0*t + 2*t**3 + 0*t).\nAnswer: 3*t**5 + 15*t**4 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24703286 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 + 484\/110. Solve 11 = 5*j - k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g. Let s(i) = -370*i. Determine x(s(l)).\nAnswer: 370*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10016509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030720 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -24219*b. Let f(n) = -4*n. Give f(q(o)).\nAnswer: 96876*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114 and 726.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.9, 3, 0, 236, -12.\nAnswer: -12, -5.9, 0, 3, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 3. Let i be k(-2). Suppose -i - 23 = -12*u. Let c be 1\/(2 - 1) + -1. Solve 2*l + c = -u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + 66 = 18 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -1, -798?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 22916872.\nAnswer: -17\/22916872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1826314685.0000226 + 1826314481. Let b = -204 - q. Round b to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 e when three letters picked without replacement from eqdejq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 2 = 2*b, -373*t = -376*t + 4*b - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**4 - 138211*i**3 - 950*i**2 + 47*i?\nAnswer: 24*i - 829266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*y = 85 + 40, -5*y + 125 = m. Let p be m\/15 - 4 - (-5)\/(-15). Solve -z = k, -3*k + p*z + 10 = -11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t*(t\/(t\/t**(-1)*t))\/t*t)**39)**(1\/18))**(-16\/9))**(8\/9) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (-4 - -7) - 1) + -7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*k + 43 - 10, k + 3*s = 3. Suppose -3*y - 1 = -7. Let o(c) = 4*c - c - 6*c - 2*c**y + 0*c**2. Let r(u) = -7*u**2 - 11*u. Give k*r(w) + 22*o(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 209825 = 5*h, n - 3191 = -h + 38776. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b**(-1)*b*b)\/b)**(-2\/29)*(b\/(b*b*b\/((b*b\/b**(-1\/4)*b*b)\/b)*b))\/b**(6\/5) assuming b is positive.\nAnswer: b**(-671\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3 = 5*q, -2*u + 4*q + q = -13. Let p = 180 - 78. Suppose -2*n = 4*z - p, 0 + 110 = 2*n - u*z. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 1 + 66. Let c(b) = b**2 - 15*b + 18. Let q be c(s). Let o(j) = -j**2 - 8*j + 2. Calculate the least common multiple of 14 and o(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-13)*w)\/w**(1\/13))**(-4\/35) assuming w is positive.\nAnswer: w**(628\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 7*l**2 - 4*l - 8. Let i be x(6). Let p(t) = -2*t - 2 + 2 + t**2 - 3*t - i. Suppose 0 = -c + 2*c - 5. Give p(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 56. Suppose 3*f = -4*f + 56. Is f greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + 1)\/(7\/21). Suppose j*y - 11*y = 188. Suppose 2*d - y = -8*t + 3*t, -80 = -3*d + 2*t. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -12 + 0*f**3 + f**3 - 993*f**2 + 1004*f**2 + 8*f. Calculate t(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2\/13, -0.3, 0.2, 2\/11, -3486\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 826 - 827. Let p(l) = l**2 - 1. Let s(c) = 7*c**2 - 1. What is n*s(i) + 3*p(i)?\nAnswer: -4*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294 = -3*n + 3*c, -2*c = n - 106 + 11. Let d = -10030 + 10051. What is the remainder when n is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2803644313.\nAnswer: 19, 147560227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4877, 4881, 4885, 4889, 4893?\nAnswer: 4897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14037 - -1?\nAnswer: -14036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 847767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1286, 5232, 11828, 21074, 32970, 47516?\n\"Answer: 1325*a**2 - 29*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 675.\nAnswer: 19\/675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 24 = 5*y - 9*y, 0 = -4*u + 16. Suppose 0*j - y*j = -k + 5505, 4*k = -3*j - 3280. What is j rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3\/4 - 487*n**2\/4 + 735*n\/2 = 0. What is n?\nAnswer: -490, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -323298 or -0.39?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 45121\/1800 - 2\/9. Let i = p + -418\/25. Find the common denominator of (4*(-2)\/4)\/11 and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 1 = 5. Suppose 5*c + 2*f + 2*f = 45004, 2*f = p*c - 17998. Round c to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 5)*5 + 20\/(-10). Let o = p + 27. Solve o*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 3*t + 19 = 0, 3*a = -2*t + 8 + 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/3))\/(c*c**(-1\/4)*c*c))\/(c\/c**(-1\/2))**(4\/5)*(c\/(c**(3\/4)\/c))\/(c*c*(c\/((c**(-1\/8)*c)\/c))\/c*c*c)*c**1*c**(-6) assuming c is positive.\nAnswer: c**(-1379\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48562 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3241787667?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/7 (b) -8\/11 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 6)*((4*l**2 + 0*l**2 - 6*l**2)*(-4*l - l + 3*l) - 59 - 8*l - l**3 + 59) as t*l + p*l**3 + b + u*l**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 1:11 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 3*z**2 - z - 3. Let j be o(-3). Suppose j = -5*w + u + 465, 4*w + u - 396 = -3*u. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65304853 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 922313.\nAnswer: 7, 131759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 4. Suppose -141 - 199 = 4*d. Let y be 34\/d + (-38)\/5. Let a be v(y). Is a at least 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/14 + 93\/(-294). Let d = z - 223\/147. Let f = 3 + -2. Which is the closest to f? (a) -2\/19 (b) 1\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -473 + 474. Solve -m + 5*c - l = 0, 0*m - 3*m + 8 = -4*c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*m - 0*m + 35, 4*m + 36 = 4*y. Let g = -8 + 10. Let z = 5.1 - 0.1. What is the nearest to -0.1 in g, z, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38855740.7 less than -0.03?\nAnswer: -38855740.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3*r - 13 = -2, -1 = -4*f + r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 268.0416 to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.11828 (b) 0.5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3\/4 + 41*c**2\/4 + c\/4 - 41\/4 = 0 for c.\nAnswer: -1, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1946*f**5 - 1946*f**5 - 105*f**6 + 161*f**2 - f**3 - 59*f**6 wrt f?\nAnswer: -19680*f**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 - 10*x. Let g(w) = 4*w**2 - 9*w - 1. Let n(p) = -2*g(p) + 3*h(p). Let m be n(11). Let b(l) = -l**3 - 9*l**2 - 3*l + 4. Does 22 divide b(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28477550 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -11. What is the second derivative of 5*f**3 - 4*f**z + f - 8*f + f wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57340, 113136, 168932?\nAnswer: 224728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 + 11 = -7*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -52*p**2 - 169*p - 44. Let y be b(-1). Let w be 1166 - (-2*1)\/1. What is the greatest common divisor of w and y?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 1:23 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121100 - -1?\nAnswer: -121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36535629 and 0.2.\nAnswer: -7307125.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2280\/(-30400))\/(-1 - 5\/(-8)). Let s = 0.79 + -0.9. Which is the smallest value? (a) m (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**2 - 6*q**2 + q**2 + 2*q**2. Let a(n) = -3*n**2. Let s(h) = 11*a(h) - 6*f(h). Factor s(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 10:30 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.31935 + 14.57. Let z = -25 + 24.75. Let t = w + z. Round t to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.94 + -0.06. Suppose 0 = -2*k - 1 + 3. Let v = -2 - 0. Sort x, k, v.\nAnswer: x, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n - 419 = -1394. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -7*v**3\/6 - 2*v. Let x(s) = -s**2 + 31 + 31 - 62. Determine x(a(w)).\nAnswer: -49*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*b**5 + 189*b**4 + 105*b**3 - 18*b**2 = 0 for b.\nAnswer: -2, -1, 0, 3\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d**2 - d**3 - 5*d - 1 + 3 + 0*d**3. Let i be z(5). Is 3 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 149781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3.99999986. Round k to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132689989?\nAnswer: 9733, 13633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(-4 + 1)\/(-6). Suppose -l*i = -5*i - 108. Round i to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 35 = -0*j - 5 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 19 = -3*n, 0 = n - h + 45 - 46. Solve 0 = -3*q + 2*c - 3 - n, 0 = -3*q - 4*c + 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 18. Suppose 8*j - 3*j = 75. Calculate the greatest common divisor of j and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3099873 by -154.\nAnswer: 442839\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2. Let o(b) = -105*b - 39*b - 121*b - 27*b + 61*b. Give h(o(q)).\nAnswer: -106722*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 948*p + 1031*p - 241*p + 1494*p - 705*p.\nAnswer: 2527*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1735.5645us to minutes.\nAnswer: 0.000028926075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -12*i**3 - 4*i**2 - 34*i - 40. Does 12 divide t(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37561890*c**3 - 65823286*c wrt c?\nAnswer: -225371340*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7542683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8\/52 + 0 + (-10)\/(-104)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*((sqrt(1539) + 1)**2*-4 + (sqrt(1539) - ((-1 + sqrt(1539) + -5)**2 + sqrt(1539))))*4.\nAnswer: -720*sqrt(19) + 154701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3 + 7*l - l**2 - 10 - 5. Let x be i(9). Let m be x\/(-27) - 34\/21. Which is smaller: -2\/21 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a hour in seconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3224499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/12*(0 - 0). Suppose k = 5*a - 376 - 364. Suppose -148*q - 3 + a*q + 3*q**2 = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 12. Let k(p) be the third derivative of -p**4\/6 + 148*p**2. Let s(d) = d. Give x*k(f) - 18*s(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 4*y**2 - 1. Let i be u(-4). Let l be i - (3 + (-30)\/3). Let s be (63\/l)\/7 + 0. Which is the biggest value? (a) -0.2 (b) s (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/4969 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 343 and 30003239?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 0*i - 31. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - -0.6. Let a be 3 - 0*1\/(-2). Suppose -a*n = -0*h - 2*h, -4*n + 5 = -h. What is the third smallest value in l, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*n**3 - 441*n**3 + 1067 - 1060 + 227*n**3.\nAnswer: -6*n**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129223?\nAnswer: 129223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2 - 6 + y**3 - 4*y + 4 + 6*y**2. Let g be (32\/(-24) - -3)\/((-3)\/(-45)). Let s = g + -30. What is w(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -51*a - 964. Let o be c(-19). Solve o*w - 8 = 3*x + 5, -4*w + 16 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -11*p**2 + 17*p - 567. Determine h(0).\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/14*(1428 - -49). What is the highest common divisor of 10761 and k?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(12) + 2*sqrt(1200) + sqrt(24)\/sqrt(2)*5*-2)**2*-1.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9594 - -9592. Sort 0, r, 544.\nAnswer: r, 0, 544","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1382 - -754?\nAnswer: 2246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1378541 to the nearest ten thousand.\nAnswer: -1380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001787 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 6744.\nAnswer: 13488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/5 - 164*f**2 + 78016*f\/5 + 1258432\/5.\nAnswer: 2*(f - 212)**2*(f + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15.85 (b) 0.036 (c) 207\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (((sqrt(832) - (-4 + -1 + sqrt(832) + sqrt(832))) + -1)*-2)**2)*1 + 0.\nAnswer: -256*sqrt(13) + 3392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -170 + 520. Suppose -4*q + j = q. Suppose 3*m - 8*m = -q. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -5. Let v = y + -7. Let z = 0.13 + 4.87. Put z, -2\/7, v in descending order.\nAnswer: z, -2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from soossooooooyyoso. Give prob of sequence ooys.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4 = -4. Let j = s + -2. Put 4, -1, j in ascending order.\nAnswer: j, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 108, -0.02, 2, -1 in decreasing order.\nAnswer: 108, 2, -0.02, -1, -55","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1194813*l**2 - 1932055*l wrt l.\nAnswer: 2389626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 10) in base 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 3, -14 + 82 = -4*f + 3*n + 33*n for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 4 = 4*g. Solve 3*x = -g*x - 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27261\/10 - 2715. Calculate the common denominator of (-1)\/(-2)*410\/25 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**5\/60 + j**4\/24 + j**3\/6 - 41*j**2. Let r(d) = -3*d + 3*d**2 + 3*d**3 - 3 - 3*d**3 - d**3. Determine -6*b(w) - 2*r(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 9*c + 4. Determine l(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 13 = 4*b + 2, -5*b + 45 = 5*q. Let z = 72 - 63. Suppose -2*p - 13 = -z. Sort q, -1, p, 2 in descending order.\nAnswer: q, 2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3))**16)**5*(y**(-4)*(y\/y**5)\/y)**(16\/7) assuming y is positive.\nAnswer: y**(-1552\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/289, -22, -3?\nAnswer: -2\/289","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/10 - 1*-4. Let p = -28 + 48. Suppose 3*y + 2 = p. Is m at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t + 60 = 16*t. Let o = 21 + t. Solve 2*w - o = 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(y + y + 0*y)*(290 + 2*y - 119 + 147).\nAnswer: -4*y**2 - 636*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 5*b**2 + 6*b. Let k be p(6). Suppose k = -12*i + 10*i + 12000000. Round i to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-154))\/(((-36)\/(-56))\/((-3)\/6*1)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-8) - 18\/8. Let m be ((-3)\/9)\/(3 + p). Put m, 2\/7, -2\/5 in increasing order.\nAnswer: -2\/5, m, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2586353 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 7:14 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*o + 1443 + 650. Let x(f) = 0 - o*f + 158*f + 0. Let m(y) = y**3 + y - 1. Let w be m(0). Calculate x(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07 + 0.47. Which is the third smallest value? (a) d (b) 0 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 22 = 9*k. Let a = k - 23. Let d = 93 - 97. Do d and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-5)*4*50\/(-40)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 847 + -840. Solve s*i = -4 + 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*a - 1, -2*h + a + 4 = -7*h. Let o be (-4)\/16 + 46\/(-40). Which is bigger: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6 + -1)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 14*q - 61. Let y be k(5). Suppose 3*u = -y*u + 564000. Round u to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 - 32*w**2 + 15*w + 50. Calculate p(16).\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 28268240.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1329)\/886*(-1 - 82\/6). Calculate the highest common factor of 33 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 + 10011101000011101?\nAnswer: 10011101000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.0118.\nAnswer: 0.00354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 6:39 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 444043576 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -229, -1, 3, 2, -4, -462.\nAnswer: -462, -229, -4, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 11*o + 5. Let g be h(11). Let v(j) = 4 - g - 3 + 1 + 3*j. What is v(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - -5.1. Let l = -69.39 - -69. Let h = l - -0.59. Which is the smallest value? (a) s (b) -2\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(12)\/(sqrt(36) - (sqrt(36) + sqrt(576))).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -14*p + 168. Calculate the highest common factor of 91 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 1. Let f be z(-5). Let r be (-2)\/f*-2 - -4. Suppose -3*x - r = -4*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 j when three letters picked without replacement from {k: 2, d: 1, j: 3, l: 2, v: 6}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 23103\/7 (b) -3 (c) -5 (d) -1 (e) 0.007\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 + -39. Let c be 1*(-2 + p\/12). Suppose 0 = -j - 2*l + 10, -l = -2*j - 4*l + 17. What is the biggest value in 0, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2879 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 s when three letters picked without replacement from qseqoussuqquuqq.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/69124 and 29\/471300?\nAnswer: 5184300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*z**2 + 10*z**2 + 5 + 13731*z**3 - 13745*z**3 + 2*z - 2 to the form g*z + k*z**2 + l*z**3 + b and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 59210.2ng?\nAnswer: 0.0000592102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-36)\/60)\/(3\/(-30)). Solve 0 = -2*q + 3*c + 7, -7*q + v*q - 4*c = 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18 and 156001.\nAnswer: 155983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - p = -31, -2*u + 54 = u + 3*p. Suppose -5*r = 19 - 14. What is the remainder when 5\/((-50)\/4)*(r + -149) is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68684636311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 31*y + 284. Determine z(-15).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -897*z + 116*z**3 - 107*z**3 - 1639*z + 2536*z.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttxxxxxxpxbtpxtpxb. What is prob of sequence bp?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 11\/181?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 0*p + 1\/24*p**4 + 0 - 1\/120*p**6 + 7*p**2 + p**3 - 1\/60*p**5. Let y be k(0). What is the highest common divisor of 24 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -6*h + 5\/6*h**3 - 1\/20*h**5 + 0 - 5\/2*h**2 - 1\/4*h**4. Let p be c(-5). What is the greatest common factor of p and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 926765\nAnswer: 11\/926765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -383721.713831 - -383722. Let d = z + -0.286. Round d to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 k when two letters picked without replacement from zskzmzzmmzkmkd?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63*u**5 - 10*u**5 + 12*u**5 + (6*u**2 - 4*u**2 + 0*u**2)*(4 - 4 + 2*u**3).\nAnswer: -57*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 3*b + 26, -3*b - 67*v = -59*v + 13 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-5 + -5 + ((sqrt(108)*1 - sqrt(108))*-1 - (sqrt(108) + -1 + 2 + sqrt(108))))*1)**2 + 1.\nAnswer: 264*sqrt(3) + 557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**2\/2 + 755601*p\/2 - 755603 = 0.\nAnswer: -755603, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 16 - 36. Solve 3*x = 3*s - 3 + 6, -j*s + 2*x - 14 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2074 + 2077. Which is the closest to -0.2? (a) i (b) -2\/3 (c) -0.07 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -108 - -63. Let q be ((-2)\/(-18))\/(15\/z). Let s be 1\/5*2\/(-3). What is the third smallest value in s, q, -3\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 730999032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -40*b + b**2 - 2*b**2 + 41*b. Let p(h) = -8*h**2 + 9*h - 4. Let o(f) = 4*p(f) - 36*z(f). Solve o(k) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 4*k - 10, 1475*k - 1480*k = -3*p - 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*i + 16. Factor -5*b + b + 4*b + 12*b**4 + 4*b**3 - i*b**2.\nAnswer: 4*b**2*(b + 1)*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)\/p)**(5\/7)\/(p\/p**(3\/8)*p\/p**(-12)*p*p) assuming p is positive.\nAnswer: p**(-1115\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/45 + 34\/9. Find the second derivative of u + i*u**5 - 8*u + 0*u**5 wrt u.\nAnswer: 80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 614592887 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10*-4 + -2)*-1. Let n = 10 - z. What is the units digit of n\/48 + 940\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 90.376 to one dp.\nAnswer: 90.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 44 - 30 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 296509979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95 - -108. Suppose 7*y + 8 + f = 0. Which is the nearest to -3? (a) -3\/4 (b) 1\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*t, 3*t = -d + 4*d - 18. Let w(a) be the first derivative of 17*a**4\/4 - a**3\/3 - a**2\/2 - a + 1. Determine w(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/23 (b) 5 (c) 184 (d) -98 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*a + 377*a + 60450 = 733*a for a.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 249, 1925, 6469, 15315, 29897, 51649, 82005?\nAnswer: 122399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1406 - 1413 + 215*q + 85*q**3 - 1423 - 225*q**2 + 4172 - 5*q**4 = 0.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*s - 26*s - 24*s to the form f*s + k and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -5 (c) -2 (d) -12\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5299 or -2218.28?\nAnswer: -2218.28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9681.48 rounded to the nearest one hundred?\nAnswer: -9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 17. Let x(b) = -3*b**2 - 2*b. What is x(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 47*n + 87. Let b be f(-10). Is b less than -384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 15 - 3 + 4*p**3 - 11 + 8*p**3 + 2*p**2.\nAnswer: 12*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.843735989 rounded to 4 decimal places?\nAnswer: 12.8437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2. Let g(a) = -a**2 - a - 1. Let i(o) = 4*g(o) - 3*u(o). Let k be i(3). Suppose -4*d + 76 + 69 = 5*l, -2*d = -k*l + 76. Does 28 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*n + 76*n - 222*n - 235*n - 228*n.\nAnswer: -504*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = w, -5*z + w + 479 = 470. Put 15, -2\/13, z, 30\/13 in decreasing order.\nAnswer: 15, z, 30\/13, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1222046 is divided by 321.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 329803 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: Which is bigger: 9408 or -0.05?\nAnswer: 9408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/5*1*3\/(-1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201430021 (base 5) in base 4?\nAnswer: 22202321202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 377316?\nAnswer: -377322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -43. Suppose -5*f = 4*o + 68, 3*f - 2*o + 13 = -19. Let s = w + f. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 11 = g, -3*t - 2*t + 25 = 5*g. Suppose t*w - 90 = -18. Calculate the lowest common multiple of (2\/1)\/(4\/42) and w.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*((-864)\/819)\/(-16)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005372922736 rounded to 6 dps?\nAnswer: -0.000537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(3 - 3 - 1). Let s = u + -5. What is the remainder when (42 - (s - 0)) + -2 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 a when two letters picked without replacement from {r: 2, a: 2, b: 4, e: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -6*r - 2*q + 244, -q + 98 = 2*r. Let a = 96 - r. Suppose -5*i + a = -57. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1627 or 21160\/13?\nAnswer: 21160\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36383 to the power of 1\/2, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13657648 and 6.\nAnswer: 40972944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.05, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 10. Let h be o(7). What is the remainder when 70 is divided by (-54)\/(-12)*16\/h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13020169?\nAnswer: 13020169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6, 587\/16, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 973*j**5\/60 + 5*j**4\/12 + 5*j**3\/3 + j**2 - 5. Is i(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/350583 and 127\/12?\nAnswer: 1402332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) -0.3 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18795 or -18798?\nAnswer: -18798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) -3 (b) 0.327 (c) 4\/7 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + -0.4. Let g = j - 0.00005. What is g rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1388.8632 + -1392.6. Round c to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f**3 - 3*f**2 - 20*f + 80. Does 31 divide d(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -80 (b) -1\/6 (c) 17 (d) -3 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1483 is divided by 124.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -14*z - 1. Determine m(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 7*k**5\/5 - k**3 + 2*k**2 + 2. Find the third derivative of g(p) wrt p.\nAnswer: 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 149277023 and 10922709?\nAnswer: 447831069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13\/26*2\/(-4). Let n be (-2)\/(-5) + (-160)\/25. Let m = -11\/2 - n. What is the third smallest value in 3, g, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, w: 1, k: 5, f: 9}. What is prob of picking 2 f and 1 w?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 3302?\nAnswer: -3311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1373445220?\nAnswer: 2, 5, 7, 29, 338287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + (sqrt(176) - (-2 + sqrt(176))) - (-4 + -1 + sqrt(528)\/sqrt(12)))**2.\nAnswer: -720 + 200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 4620817?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/(1218\/56))\/(((-1568)\/(-6))\/14).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -3\/4 (c) -2\/7 (d) 1\/6 (e) 2017 (f) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13 and 59?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 100*r - 659. Determine b(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 9:22 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -50, -97, -144, -191?\n\"Answer: -47*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 1 - (-4)\/4. Suppose 5*p - 62 = -3*s + s, 134 = 4*s + u*p. Calculate the highest common factor of 126 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 563 and 941.\nAnswer: 529783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 13 = 11. Suppose -5*y + a = -7. Solve -k - 4*t - t = -28, 5*t = y*k + 16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h - 16. Suppose s = -2*s + 3*q + 63, 0 = 2*s + 2*q - 62. What is the remainder when g(11) is divided by s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 28159a?\nAnswer: 281597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1733*k + 1742*k - 5*k**2 + 1743*k + 1749*k - 8715*k + 1748*k.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 89053\/(-615087) + (-1)\/27.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**1\/(x\/(x**(-2\/5)*x)) assuming x is positive.\nAnswer: x**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6 - 2.4. Let n = w + 0.3. Which is the second biggest value? (a) n (b) 2\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven halves of a millimeter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j - 6*j - 4*j**4 + (-j**2 + 2*j**2 + 2*j**2)*(0*j**2 + 4*j**2 - 2*j**2) in the form s*j**2 + i*j**3 + o*j + u + d*j**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -158 - -81. Let u = 79 + k. Let a(w) = 6 + u + 12*w - 8. Let x(o) = o**2. Determine a(x(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 17*u + 52. Determine m(-16).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1738230 and 470?\nAnswer: 81696810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 6*a**2 - a - 7. Let g be h(-6). Let o be (7 + 3 + -3)*g. What is the units digit of 4\/14 - 40\/o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52621 and 976875.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*t = -r - 2534, 3*r - 3*t - 1887 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 6*p**2 - 4*p - 5. Let i = 1 + 3. Is 11 a factor of x(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001842295936 rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-3*sqrt(128)*-3 + sqrt(128) + -4)*6 + -2)**2.\nAnswer: -2307380 + 124800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/266 or -1\/23082?\nAnswer: -1\/23082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**5\/30 + r**4\/6 - 4*r**3\/3 - 14*r**2. Calculate the remainder when m(-7) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 6 - 6)*(-8 + 2 + 13)*(-l**4 - 4*l**4 + 3*l**4).\nAnswer: 56*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -356*((-7)\/4)\/7. Let o = h - 84. Let y(r) = -4*r + r**2 + 0 - 1 - 2. Give y(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1080 + 408 = 2*h, 5*h = 2*v + 3734. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, j: 1, q: 1, e: 4, o: 1}. Give prob of picking 1 o, 1 j, 1 k, and 1 q.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -76*q + 666. What is f(8)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(-2*sqrt(1008) + sqrt(1008) - sqrt(7)).\nAnswer: -sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 2213, -5, -3?\nAnswer: 2213","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15714156 at most as big as 15714147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*b = 0, 0 = -z + b + 9. Let c = z - -3. Let x be ((-40)\/c)\/((-1)\/3). What is the highest common divisor of 20 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96074 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**8\/560 + i**7\/280 - 10*i**3\/3 - 4. Let q(w) be the third derivative of o(w). Suppose q(d) = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3946*j + 3941*j + 10 = 5*f, f + 4*j + 7 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/3 + 9\/27 + 3. Solve 5*h + 11 = 4*j - 0*j, q*j - 1 = 2*h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -1\/662, 1, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 19*c**2 + 11*c + 538. Determine t(21).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 5, -490496 in descending order.\nAnswer: 5, 0, -4, -490496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1868448758 to the power of 1\/3, to the nearest integer?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -29*u**3 - 41*u - 8. Let g(y) = -10*y**3 - 14*y - 3. Let r(k) = 8*g(k) - 3*p(k). What is the second derivative of r(x) wrt x?\nAnswer: 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70062 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1027.\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00038782 to five decimal places.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -i - 2*b + 5, -4*b = -5*i + 17. Suppose 20 = -5*h + 8*j - 3*j, 0 = j - 5. Let r be (-2)\/(-8) - 23\/(-4). Solve r = i*a + h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51513, -51446, -51379, -51312, -51245, -51178?\nAnswer: -51111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*((-7)\/(-2) - (0 + 3)). Suppose -1\/2*f**2 + y - 2*f**3 + 2*f = 0. Calculate f.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-6) + (-7)\/(-2))\/(-2). Which is the closest to 0.3? (a) r (b) 0.1 (c) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**6)**(4\/13))**(1\/36) assuming t is positive.\nAnswer: t**(2\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-224)\/(-16)*(-1 + 2)\/7*2. Let w be (-176)\/(-56) + 2\/(-14). Determine m, given that 16\/5*m**w + 0 - 4\/5*m**s + 44\/5*m**2 + 24\/5*m = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-74)\/14 + 16\/56. Suppose 0 = -4*a - 22 - 2. Let g = u - a. Which is smaller: 1\/42 or g?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**6\/30 + 126*s**5\/5 + 253*s**4\/2 + 760*s**3\/3 + 2*s**2 + 188*s + 2. Factor w(y).\nAnswer: -4*(y - 380)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 0.5, 4, -2, -0.013901, -2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4558*k - 6801. What is q(2)?\nAnswer: 2315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -67*f + 2479. Let y be w(37). Solve 50*s + 22 + 28 = y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 720 and 24?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g. Let h(d) = d**2 - 2*d - 1. Let z = -2 - -1. Let v(o) = z*h(o) + 4*j(o). Suppose 2*n + 5 + 2 = b, -b + 4*n + 13 = 0. Give v(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**2\/2 + 3. Let f(n) = -18*n - 1. Let s(o) = -6*b(o) + f(o). Is s(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 44ba45b6?\nAnswer: -44ba45b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/10 + (-325)\/125?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 + -41.2. Let i = -9.964 - 0.036. Let v = a + i. What is the third smallest value in 5, -3, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 180\/13, 1\/12, 6 in ascending order.\nAnswer: 1\/12, 6, 180\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6641627 litres in millilitres?\nAnswer: 664.1627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -33339 and 4425.49097?\nAnswer: 37764.49097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttxttttxxx. Give prob of picking 1 x and 3 t.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c259a6 (base 15) to base 11.\nAnswer: -5236820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 74149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2*(-3)\/12)\/((-1)\/(-1258)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhrc when four letters picked without replacement from {h: 2, u: 1, c: 1, r: 6, i: 9}?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from wzwzwwwwwwwzwz?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 8. Let f be u*(-3 - (3 - 5)). Solve f*k + 8 = 4*k + 2*o, -4*k + 2*o = -24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 72*d - 9. Let u be n(0). Let x(w) = 7*w**2 + 3*w - 4. Let c(b) = 14*b**2 + 7*b - 9. What is u*x(t) + 4*c(t)?\nAnswer: -7*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 57. Let q = -20 + b. Let z(c) = c - 3. Let g be z(5). Solve 0*h - 4*h = -3*m - 19, 18 = -g*m + q*h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/65562 and -149\/739914.\nAnswer: 5179398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -3, 0.014, 0.4, -12, -2, 4\/5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - -19) + 1 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((38\/4)\/(-19))\/(-1 + (-8481)\/(-8482)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 20, -0.1, 4\/5, 1\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + -3. Let g be (s\/(-8))\/(30\/(-320)). List the prime factors of ((-558)\/g)\/(1\/4).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -0.2, 2, -886 in descending order.\nAnswer: 2, 1, -0.2, -3, -886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -13, 5, 0, -4 in ascending order.\nAnswer: -13, -4, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3769 + 3730. Sort q, -19, -5 in descending order.\nAnswer: -5, -19, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 151 - 158. Which is the smallest value? (a) -5 (b) t (c) 2\/7 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37629?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**2 - 449865*a + 899750 = 0. Calculate a.\nAnswer: -89975, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l - 846 = 34*l. Let x = l - -200. Let z be (-12)\/(-8)*(x\/(-6) + -1). Solve -4 + z = -3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 12:11 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 6 + 2\/3*f**3 + 0*f + 0*f**2. Let p(w) = -w**2. What is p(g(k))?\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 65417971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 72*u - 1207. Let x be a(-22). Sort x, 3, -4, 0, -2.\nAnswer: x, -4, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2211657779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 11*m**4\/24 + m**3\/6 - 46*m**2. Let n(t) = -6*t - 1. Calculate -3*b(s) - 5*n(s).\nAnswer: -3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 454383.\nAnswer: 7270128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/2026664 and 53\/22.\nAnswer: 22293304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25226424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 6 = 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2016\/17, -0.1, 7\/6 in descending order.\nAnswer: 2016\/17, 7\/6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -8.85.\nAnswer: -17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 71199767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -29*w**2\/2 + 600*w - 1424. Calculate y(21).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 339063351\nAnswer: 2\/113021117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6151 - 6153. Sort 0, -0.23, t in descending order.\nAnswer: 0, -0.23, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -448 - 56 = -18*i. Suppose -i = -67*h + 63*h. What is the highest common factor of 2 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*(sqrt(176) - (sqrt(176) + -1))*2)**2.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -641*a + 165*a - 4284 = 0 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/28*4*-7. Find the third derivative of 4*l**2 + c*l - 12*l + 9*l**2 - 13*l**5 wrt l.\nAnswer: -780*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09262236? (a) -4 (b) 1 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 320.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -17. Let x = s - -23. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 364*h**3 + 28*h - 40. Let x(f) = -52*f**3 - 4*f + 6. Give 3*r(g) + 20*x(g).\nAnswer: 52*g**3 + 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) -2 (c) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - l + 120 = 4*l, -44 = -y + 3*l. What is the remainder when y is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -1\/650213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 226 + 1373. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x + 8. Let f be u(-3). Let n = f - -66. Let t = 116 - n. Calculate the lowest common multiple of t and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i = -54*i - 27*i - 300 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from ikdkjjj?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*y + 5*b - 28 = -72*y, -b = -5*y - 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 9*m**2 - 7*m - 1. Let x be y(-5). Let o = x + 196. Suppose -3*b + 135 + o = d, 3*b + 15 = 0. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 8 = 2*x, 2*b = -b - 2*x - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - -27. Let p be (50\/z)\/((-4)\/6). Solve 40 = -4*k - p*u, -3*u + 0 = -k + 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4, -3*m - 2*m - 22 = -2*p. Let w(d) = 8 - 6 + 2 - 2 - 3*d. Let s be w(1). Is p at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 4:54 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**3\/5 - 102*b**2\/5 - 4608*b - 159840 = 0?\nAnswer: -60, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9028519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10365 and 415.\nAnswer: 860295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 310153553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 58706164003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 1. Let g(f) = -10*f**2 - 3*f - 49. Let h = -10 + 11. Let c(y) = h*g(y) - 3*w(y). What is the derivative of c(o) wrt o?\nAnswer: -20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367813997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 8 = 2*z - 7, -3*z = -5*s + 237 - 315 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4\/174291?\nAnswer: 4\/174291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -1. Let g(h) = -h**2 + 5*h - 3. Let b be g(3). Suppose 2*f = -5*v + b - 0, f + 4 = 3*v. Let p be f\/(3\/(6\/1)). Let t(k) = k + 3. Give p*o(c) - t(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 + 80*o**3 + 528*o**2 + 1280*o + 1024.\nAnswer: 4*(o + 2)**2*(o + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((6*sqrt(130) - sqrt(130))*-4)\/(sqrt(10) + (sqrt(500)\/sqrt(10))\/sqrt(5)))**2 + 0)*-3 + -1.\nAnswer: -3901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/15*3)\/(1\/(-185)). Suppose -j = -z + 6. Suppose 0 = 2*b - 5*o - z, o + 16 = b - 27. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80 - (0 - 3)) + -19 + 30 + -33 + 31?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.8, 3\/4, 1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-9)\/l)*l*l*l)\/l**(-14))\/(l\/l**(5\/3)*l**(-4)) assuming l is positive.\nAnswer: l**(98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3778736387 + 4*z + 3778736387.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 833473.9ml to litres.\nAnswer: 833.4739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + (sqrt(252) - -5*(sqrt(252) + 3)))**2.\nAnswer: 1260*sqrt(7) + 12573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2. Let v(d) = -d**2 - 1. Calculate v(f(i)).\nAnswer: -4*i**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3)\/((h\/(h**(2\/15)*h))\/h))\/(h**(-3)*h*h*h\/(h*h**6)))\/((h*h*h\/(h**(-1\/5)\/h*h*h))**50*(h*h**(1\/4))**(-3\/5)) assuming h is positive.\nAnswer: h**(-6247\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 9. Let v(r) = r**3 - 4*r**2 + 10*r - 6. Let b be v(4). Let x be (0 - 1)\/(0 - 1). Suppose 0 = 5*t - x - b. What is w(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35017 and 1126.\nAnswer: 39429142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -677*g**3 + 66*g + 12. Let h(c) = -226*c**3 + 23*c + 4. Let k(m) = -7*h(m) + 2*j(m). What is the second derivative of k(d) wrt d?\nAnswer: 1368*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12582 greater than 12584?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 5, -2\/17, -1, -0.01707?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yxrjljm. What is prob of sequence rrxr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4657 - -4630. Which is the nearest to -2? (a) 4 (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from aiu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3)*t*t)\/(t\/t**(1\/9)*t))\/((t\/(t**(-4)\/t))\/(t**(-6)*t)) assuming t is positive.\nAnswer: t**(-125\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*v - 2. Let x(h) = -3*h - 1. Let l be x(v). Suppose l*a = 12 + 18. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 21, 34, 47, 60?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*5\/5 - 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/272 and 89\/38990146?\nAnswer: 311921168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 5*p - 3*b + 314, -3*p + 236 = 2*b. What is the remainder when p is divided by (6\/5)\/(2\/70)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pplchce. Give prob of picking 1 e and 1 p.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12 - 53*d**2 + 4 + 287*d - 286*d + 4 wrt d?\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -559*g + 6. Let w be f(-3). Let j = -1190 + w. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 l when two letters picked without replacement from ejletreejt?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*k = -k - 49, -4*v + 58 = 2*k. Let h(l) = l**2 - 16*l + 12. Let d be h(v). Let o = 11 - d. What is the remainder when o is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 63839736 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.6 + -4.8. Which is the nearest to -1\/2? (a) h (b) 0.2 (c) 3\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 43*m + 283. Let d be o(-8). Suppose 6979 = 4*q + s, 4*s - 6964 = d*q - 7*q. List the prime factors of q.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2*u**4)*(-1 + 5 + 6) in the form j*u**2 + l*u**4 + m*u**3 + o*u + c and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) + (-5)\/(-30). Let s = 0.0876 - 0.5876. What is the nearest to z in -10, s, 2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9383 + 46734\/5. Let n = 36 + j. Let t = -0.8 + 0.4. Sort n, t, -1.\nAnswer: -1, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 7*y + 8. Let t be g(4). Let k be 1\/((-6)\/t) + 48\/(-72). What is the derivative of 0*m**2 + k*m**2 - 10 + m**2 wrt m?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 833 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21.82 - 16.8. Let o = u + -5. Let k = -0.03 + o. Round k to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194\/5*-40*5\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 502428 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/219 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -478 + 480. Suppose -3*y = -k - 24, -3*y - 5*k = 1 - 43. What is the remainder when y is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**3*f - 2*a**3*t - 2*a**3 - 31*a*f*t - 62*a*f wrt t.\nAnswer: -2*a**3 - 31*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 4:09 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 6701.\nAnswer: 6697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4871 rounded to the nearest one hundred?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 - -44. Let u = 19 + t. Let r = -49\/180 + 1\/20. Is u at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 11941\nAnswer: -4\/11941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 28840\/(-1648)*(-92)\/(-105)*-3\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 86*c + 54. Is 49 a factor of s(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 33. Calculate the common denominator of (-95)\/5 + (-3)\/h and 91\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*c**6*m + 13*c**3*m - 12*c**2*m + 7*m wrt c.\nAnswer: -840*c**3*m + 78*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 118918074 and 281930?\nAnswer: 594590370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 + 175 + (-3)\/(-54)*-164?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 3 - 1 + 2*a. Let m = 12 - 4. List the prime factors of c(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23726 - -23722.8. Suppose 2*r - 1 - 3 = 0. Is x at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azgzzjzzzyzyzjgzgzj. What is prob of picking 2 j and 1 a?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9711 divided by 13?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2608 + 2608.4. What is the third smallest value in -0.4, m, 6\/209?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and 116.3.\nAnswer: 5.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*n - 51*n - 90 = -3*y, -10*y - 30 = -5*n. Solve 12*a - 4*o = 13*a - 18, n = -a + 5*o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89912?\nAnswer: 2, 11239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**2 + y + 3*y - 6*y)*(-11 + 11 - 2*y) + y**3 - 1 - 2*y + 2*y to the form f*y**2 + v*y + z*y**3 + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**6\/210 - h**5\/105 + 4*h**2 - 5. Let o(d) be the second derivative of i(d). Factor o(l).\nAnswer: -4*l**2*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -30856.6?\nAnswer: -246852.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 30. Suppose -4*l - k + 2 = -1, 2*l + k - v = 0. Let d be -2*l*(2 - (-21)\/(-6)). Solve d*u = 4*c - 19, 3*c + c - 5*u - 29 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -398027 - 3?\nAnswer: -398030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.98 and -0.07.\nAnswer: 0.5586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 3. Suppose -7*b = -3*b - c*t - 20, -2*b = t - 6. Suppose -5*k + 4 = -26. What is the nearest to -1 in -0.5, k, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1872)*-2 + sqrt(52) + 0 + 2)**2.\nAnswer: 392*sqrt(13) + 124856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 y, and 2 j when four letters picked without replacement from njykojjjjjjsjn?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**3 - 2*u**3 - 2*u**3)*(2*u + 2 - 2) + 2 - 3*u**4 - 2.\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*y**4 - 5*y**4 - y**4 - 3*y**2 - 5 - 3*y**4 to the form c*y**2 + w*y**3 + i + k*y + a*y**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/14*(4 - -23 - 34)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 3*a + 3*i, 6*a + 368*i = 369*i - 161 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 302 by 3.\nAnswer: 302\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**2 + 11*n - 7. Let c(v) = 4*v**2 - 10*v + 6. Let g(q) = 3*c(q) + 2*m(q). Factor g(p).\nAnswer: 4*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15425*z - 15429*z = 5*l + 152, -2*z + 3*l + 100 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 60.5. Let k = q + 33. Which is the nearest to 0.1? (a) 1 (b) 0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(7\/2))**(1\/48)*((c*c*((c\/(c**7\/c*c))\/c)\/c*c)\/c)**43 assuming c is positive.\nAnswer: c**(-24773\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, n: 4, e: 1, v: 2}. Give prob of sequence nkv.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*u**2 + 19*u**2 + 49*u**2.\nAnswer: 23*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1700 is divided by (70\/350*(-2 + 3))\/((-1)\/(-20))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-1 + 1 - k**2) + (0*k - 4*k + 2*k)*(3*k + 0*k - 4*k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 10*z**2 + z + 34. Let t(x) = -x**3 - x**2 + 4*x + 2. Let q be t(-3). What is the units digit of m(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 3136.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**5\/5 - 4*c**3\/3 - 9*c. Find the second derivative of n(b) wrt b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-93)\/(-31))\/(1\/(-1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -14. Suppose 2*i = u*p - 40, i + 54 - 16 = 3*p. What is the highest common divisor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 213, 161, 53, -111, -331, -607?\nAnswer: -939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 4*a - 2. Let y(r) = 5*r - 15. Let w be y(3). Let h be q(w). What is the fourth biggest value in -5, h, 1\/5, -2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 3*s**2 + 3*s - 9. Let k(h) = -2*h**3 + 7*h**2 - 2*h + 3. Let b be k(3). What is the hundreds digit of f(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 8. Let f be x(-12). Find the second derivative of -y + 2*y**f - 2*y**4 + 4*y - 3*y**5 wrt y.\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 - -133\/2. What is the fourth biggest value in r, 5, 10, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(3) + 3 + 0).\nAnswer: -12 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 146.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 8:22 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -8. Suppose -5*p = 5*m - 130, -5*p - 3 = q. What is the remainder when m is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20101330221 (base 4) to base 15\nAnswer: -2cd260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2\/9 - 3844942*n\/3 = 0. Calculate n.\nAnswer: -5767413, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13828000 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3 - d - 10*d**3 + 5*d**2 - 11*d**2 + 0*d**3 - 4*d**4 = 0. Calculate d.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**5\/60 - 5*i**4\/12 + 8*i**3\/3 + 470*i**2 - 3. Suppose -2*p + 18 + 4 = 0. Determine z(p).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 498 + -495. Let v = 12.33 + -12. Let z = -13.67 - v. Which is the closest to -0.1? (a) t (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a**2 + 2*a**2 + 5*a**2 - 9*a**2. Let x(t) = 13*t**2. Determine p(x(j)).\nAnswer: -1183*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 553 by -215.\nAnswer: -553\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 310356 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 2 - (-52)\/(-78))*12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or -10155\/346?\nAnswer: -10155\/346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/15, 0.2, 3, 0.3, -325, 3\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 397254140 and 40720.\nAnswer: 10180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112)\/4*2\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -55*x**2 - 1860*x + 3737. Determine z(2).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -96978 (base 11) to base 8.\nAnswer: -423201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -6)*(-13 + 14). Solve -1 + 17 = -h*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 9 = 9*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**6\/720 + o**5\/360 - o**4\/144 - o**3\/2 + 3*o**2. Let b(z) be the first derivative of f(z). Factor b(d).\nAnswer: (d + 1)*(3*d - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 520.075575 + 0.\nAnswer: 520.075575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -1, 0.2, -24.259?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 10*a**2 - 87*a - 251. Let u be w(11). What is i in -4\/9*i + 2\/9*i**5 + 2\/9*i**4 - 10\/9*i**u - 2\/3*i**3 + 0 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 19*n**2 + 20*n - 722. What are the prime factors of q(-35)?\nAnswer: 2, 61, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0.999991. What is p rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31.2776 bigger than 395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*p - 3*p - 7*p + 19 - 10*p + 9*p to k + d*p and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5046, -5054, -5064, -5076, -5090?\nAnswer: -5106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -87 - -105. Suppose -17*x + s*x = 12. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-6)))\/(p**(3\/2)*p)*p**(-13)\/(p*p**(1\/30)*p) assuming p is positive.\nAnswer: p**(-353\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**3 - 57*z**2 - 41*z - 93. Let n be q(-28). Let o = n - 135. Calculate the highest common divisor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10644144 and 19649?\nAnswer: 74509008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 35. Let z be (-1)\/3 - 7\/j. Suppose 0*s + 3*s - 21 = z. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7990.3827 rounded to the nearest integer?\nAnswer: -7990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 464920 and 352630?\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 + 321 + 21*x**2 + 178 - 93.\nAnswer: 25*x**2 + 406","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d - 2*d - 5 + 7*d)*(2*d + 0*d - 3*d).\nAnswer: d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 966*a + 14503. Give b(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 10:49 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -30*k. Let l(v) = -14*v. What is p(l(b))?\nAnswer: 420*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 2:20 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(26 + 16*d**2 - 22*d**2 - 25 + 4*d).\nAnswer: -12*d**2 + 8*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*p + 6*p**2 + 9*p - 4*p**2 + (-1 - p + 1)*(-3 - 2*p + 3).\nAnswer: 4*p**2 - 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1183*t*x + 984*t wrt x?\nAnswer: -1183*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -671\/3 - -449\/2. Sort -1, 3, 4\/13, u in decreasing order.\nAnswer: 3, u, 4\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3592860.3548 + 22.\nAnswer: 3592882.3548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 50 = 10*a. Calculate the greatest common factor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-38)\/9 - 4\/(-18). Let r be -4 + 19*(-1)\/o. Is 0 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -57, -110, -161, -210, -257, -302, -345?\n\"Answer: v**2 - 56*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 12 - 6. Let y(w) = 0 - t*w**2 + 12*w**2 + 0. Let s(g) = 3*g**2. Determine s(y(p)).\nAnswer: 27*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 11*p**2 + 5. Let z(s) = -3*s**2 + 1. What is -k(r) + 6*z(r)?\nAnswer: -29*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + l**2 + 2*l + 7)*(62*l - 68 + 68).\nAnswer: 62*l**3 + 124*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, -3215, -8707, -16399?\nAnswer: -26291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 727 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2 + 6*f - 6. Let s be (-10)\/(-4)*30\/25. Let o be l(s). List the prime factors of ((-280)\/o)\/(4\/12).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 396 + -3?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/5326 or -2\/7?\nAnswer: -3\/5326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**4\/24 - 3*o**2. Let m(d) be the first derivative of -20*d**3\/3 + 411. What is m(p(v))?\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/2)*m)**(-1\/38)\/((m*m**2)\/(m**(-2\/11)*m)) assuming m is positive.\nAnswer: m**(-1813\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 262280218191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75.972 + -0.028. Which is the third biggest value? (a) x (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b3 (base 14) to base 3\nAnswer: -111002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 + 160. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 h when three letters picked without replacement from {s: 4, b: 1, h: 3, d: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 7. Let f = j + 20. Let h = f - -28. Calculate the greatest common divisor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538214.96 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 225?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.15 + -0.05. Let d be ((-6)\/7 - (-114)\/84)*2. Which is the nearest to d? (a) 1 (b) k (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/72)\/(((-1)\/5)\/((-18)\/(-5670)*-14))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 1. Suppose -x - x + 4 = 0. Let f(a) = -49*a - 16. Let l(s) = x*g(s) + f(s). Find the first derivative of l(c) wrt c.\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2288 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (23 - 6 - (-6 - (-18 - -4))) + 8995. What is the highest common factor of n and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, o: 3, u: 3, l: 3, p: 1, r: 3}. What is prob of picking 2 i, 1 p, and 1 o?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 3050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/13 + 2198*k**2\/13 + 7216*k + 1021240\/13.\nAnswer: 2*(k + 22)**2*(k + 1055)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 6*a - 5. Let z(f) be the third derivative of 13*f**4\/24 + 23*f**2. Determine z(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - 1 - (-2 + -15). Let n = -39 + 27. Let s = n + w. What is the smallest common multiple of 5 and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 1 - (-1 - -3). Let y be 6\/21 + (-80)\/35. Let i be (y\/w)\/((-1)\/2). Which is bigger: -3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*t - 888, -t + 173 = -19*r + 14*r. Solve -t*p + 166*p = 84 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*i = 122*i + 32. Let s be 18\/5*10\/4. Differentiate i + 11*z**3 + s*z**3 - 16 with respect to z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33875\/3 - -11297. Factor 48*k - 196\/3*k**4 + 168*k**3 - 436\/3*k**2 - o.\nAnswer: -4*(k - 1)**2*(7*k - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -477*m + 421. Let g(k) = 2860*k - 2525. Let a(o) = 6*g(o) + 34*q(o). Differentiate a(t) wrt t.\nAnswer: 942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -2767757004?\nAnswer: -2767757005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*o = 43*o - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 462 + -406. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -318.253 - -317.5. What is t rounded to two decimal places?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 6 + b**3 - 5 as u*b + p + t*b**3 + c*b**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**18*a**(-3\/23)*(a\/(a**35\/a))**(5\/17))**14 assuming a is positive.\nAnswer: a**(44688\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -145584618 < -145584616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -834 + 0.929?\nAnswer: -833.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -242*t**3 + 242*t**3 + 7 - 5*t**4 - t**4 - 2*t**4 + t**4 + (3*t**3 - 3*t**3 - t**3)*(-t + 2*t - 2*t) to o*t + y*t**3 + p*t**2 + q*t**4 + d and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8982 - -5?\nAnswer: -897c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 12 = 4*d - 16, -45 = -2*t + 3*d. Let r = t + 67. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -47 - (-1 - -24 - 31)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.5258694 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 10 = -12*p + 14*p, 2*p = -2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53486 - 26*l + 53433 + 53477 - 160394.\nAnswer: -26*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 89423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 - 12*z + 16. Let w be o(-5). Is (-18)\/72 - ((-141)\/4)\/w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h - h - h**3 - 5*h**2 - 5 + 4*h. Suppose -c = 2*a + 2272, 3*a + 3408 = 61*c - 58*c. Let l = 1131 + a. Calculate q(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.05, 0.5, 4, -3\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**4 - 2688*y**3 + 269712*y**2 + 1154752*y - 3366912 = 0.\nAnswer: -6, 2, 128, 548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 5. Let u be c(7). Does 2 divide (-132)\/(-28) - u\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w - 11. Let a be v(-8). Let k = a - 1. Suppose k*s = 5*s - 1. Solve s = -r - 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.12 + -24.18. Let d = 6.3 + p. Let m = 17.855 + d. What is m rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00186889 to six dps.\nAnswer: 0.001869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0)**(1\/18))**(-3\/13) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 874 and 6669038.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -1\/10, -0.16, -5, -3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -17643 divided by 1\nAnswer: -17643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.1, -0.05, 0.4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (32\/10 + -2)\/((-4)\/(-10)). Solve -23 = 2*m - 2*y - 3*y, 0 = 5*m - v*y + 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11034, -22910, -34786?\nAnswer: -46662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*h - 5*h + 2*h + 1 + 8 wrt h?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19650*x + 19650*x - 44*x**2 + 8 - 2*x**3 as y*x**2 + s + j*x + n*x**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.47 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 443967615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -27, 1\/7, 131, 4, 36?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(5 - 2*l - 5)*(12 - 6*l - 12).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/14, 1, 0.08 in increasing order.\nAnswer: -4, 1\/14, 0.08, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 14 - 7 = 0. Let s(q) = c*q - 5*q + 0*q. Give s(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + 11. Suppose y = 3*y - u. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 7*3*288\/112. Let m(d) = -d + 2*d - 52 + n. Let w(g) = -7*g - 4. Determine w(m(h)).\nAnswer: -7*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34778 - 1240 = 6*d. Let s be d\/(-5) + 6\/(-10). What is the units digit of (6\/8)\/(12\/s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1925, 3854, 5785, 7718?\nAnswer: 9653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35.022 and 5.\nAnswer: 175.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/((-12)\/(-3)))\/((-4)\/28).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*a**3*k**3 - 7250*a**3*k**2 - a**3 + 324152*a**2*k + 6*k**3 wrt k?\nAnswer: -30*a**3*k - 14500*a**3 + 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.26 - 0.0438631545546.\nAnswer: -7.3038631545546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 58, 86, 110, 130?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4690302939 to the power of 1\/5, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -126, -277, -488, -759, -1090?\nAnswer: -1481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 19 = -2*r, 6 = -121*l + 104*l - 11 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 34*k**2 - 41*k + 283. What is the remainder when 209 is divided by s(33)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shzgzzsggage. What is prob of sequence sh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.18, 1, -583209?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 59554, 476848, 1609504, 3815200, 7451614, 12876424, 20447308?\n\"Answer: 59613*j**3 + 3*j**2 - 6*j - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10714912121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -186 - -196. Suppose -o*z + 6*z = -3*n - 116, -4*n = 5*z - 114. Suppose -j = 4*j - 520. Calculate the highest common divisor of z and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 156. Let w(s) = 151. Determine -6*o(r) + 5*w(r).\nAnswer: -6*r - 181","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand w - 3*w - w - w + 0*w - w + (2*w + 0*w - 4*w)*(0 + 0 + 2) + 2*w - 2 + 2 + w - 2 - 3*w + 0*w.\nAnswer: -9*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 83.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*c**2*d**3*f + 3165*c**2*d*m + 3*c**2*f*m + 3*c*d*m + c*f*m + 6*c*m + 285034*d**3*f - 2*d**3*m + d**2*f - 69 wrt d.\nAnswer: 78*c**2*f + 1710204*f - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wzw when three letters picked without replacement from {k: 1, b: 7, w: 2, y: 2, z: 1, e: 1}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -428?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((-30)\/(-249)) - (-4)\/10. Let l be -1 + 1 - (d + -24). Solve -2*u = -l*u - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 3*q**5\/5 + q**4\/12 - q**2\/2 + q. Let c be s(2). Suppose 4*f - c = f. What is the remainder when f is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92 + 127. Suppose y*u - 1389 = 816. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (0 - (1 + 1)). Suppose -f*w = 2*w - 75. What is w rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 - -10001001100?\nAnswer: 10001011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -127, -245, -363, -481, -599?\n\"Answer: -118*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 e when two letters picked without replacement from {l: 3, e: 2, j: 1, s: 1, g: 4, o: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + c + 9 = -6, c - 9 = 4*i. Let u = -227 + 2499\/11. Sort -2, u, i, 0.3.\nAnswer: i, -2, u, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n**3 - 1. Suppose 5*t + 7 = 12. Let h be u(t). Let d = -1.1 - -0.8. Put -5, h, d in ascending order.\nAnswer: -5, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19\/10 + -7\/5. What is the nearest to y in 0.4, 2, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/18)\/((-16)\/(-72)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/8532 and -145\/6.\nAnswer: 8532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5499 - 0.5498999423. Round k to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37152.05km in millimeters?\nAnswer: 37152050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**6\/8 + 11*q**5\/12 - 5*q**4\/4 - 10*q**2 + 9*q. Let m(d) = 0. Calculate d.\nAnswer: 0, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 21 + -5 + 2 + 2 + 39.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-8) - -1)*-1. Suppose -4*s = -11 - 9. What is the closest to t in -0.3, s, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46651?\nAnswer: 11, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-14) + 295\/(-35).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-19 + (-350)\/(-28) + 8).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20658*g**3 - g**2 - 35*g - 172 wrt g.\nAnswer: -123948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 2*n**2 + 65*n**3 - 30*n**3 - 34*n**3 - 2*n**4 as z*n + t*n**4 + c*n**2 + u*n**3 + r and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 648491413 to the nearest integer?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -9*o - 2. Let q be j(-1). Suppose -2*r - 355 = -q*r. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.5, 0, -0.07, -5 in increasing order.\nAnswer: -5, -1.5, -0.07, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -107 divided by 5\nAnswer: -107\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 179 + -173. Suppose l*f = f + 5*y - 3475015, -5*y - 3474985 = 5*f. Round f to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 7. Let a be n(-9). Let p be (3\/2)\/(3\/a). Let l(w) = 54*w**2 + 2*w - 1. Is l(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3 + (-245)\/(-15). Let u = 24 - x. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1))**(-2\/101)*c**(-2\/15)\/((((c\/(c**3\/c))\/c)\/c)\/c)*(c*((c\/(c**4*c))\/c)\/c*c**(-3))**(2\/17) assuming c is positive.\nAnswer: c**(74326\/25755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5160 and 9460.\nAnswer: 56760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18526*t - 22565*t - 383705 = 0 for t.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53925072 and 516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*t**3 + 74753*t**2\/3 + 2475218*t\/3 + 13328 = 0. Calculate t.\nAnswer: -102, -49, -8\/495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 * 1.1282\nAnswer: -1.91794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 10:48 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 3*f + 3*f)*(-1799 + 2493 + 1704 + 859 + 1453).\nAnswer: 4710*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755313 is divided by 5432.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 3:53 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppps when four letters picked without replacement from sssppp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13313\/(-159)*19\/38. Let u = -21\/106 - d. Solve 1\/3*c**3 + u + 25*c + 5*c**2 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**2 + 88*v + 228 = 0.\nAnswer: -19, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 604.31 + -607. Let m = q - -2.82. Which is the closest to 1? (a) 1\/3 (b) m (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + r - 2. Let p(z) = z**2 - 1. Suppose 2*u - 16 = -10. Let n = 21 - 25. Give n*p(o) + u*q(o).\nAnswer: -o**2 + 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 192.8, -2\/7, -1\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c**2 - 5*c**2 - 9*c - 4*c + 6*c**2 wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 37 = 2*w, 3*w - 109 = 8*w + 9*y. What is the fourth biggest value in w, -1, 1\/3, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 = -26*j - 12 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.8559345 to two decimal places.\nAnswer: -33.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 + -67. Suppose p = 6*p + 5. Let b = 2 + p. Calculate the smallest common multiple of z and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82*j**2*k*u**5 - 3*j**2*k*u**2 - 89*j**2*k*u + 11*k*u**3 wrt u.\nAnswer: -4920*j**2*k*u**2 + 66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**2 - 2752*z - 8359428 = 0.\nAnswer: -1826, 4578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10720 and 10072780?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/57 (b) 3\/4 (c) 3 (d) -14\/251 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55.24463 + -0.24463. Which is greater: v or 1.7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72547.\nAnswer: 72547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -2*t + 11*k - 14, 0 = 2*t - 4*k + 10. Put 1, t, 2, -37 in ascending order.\nAnswer: -37, 1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -183.7 rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/2 of a day?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -15*s + 68. Suppose -i = -5*d - 15, 3*i - 4*d + 3 - 26 = 0. What is the common denominator of o(i) and (-2)\/(-5) - (-452)\/(-230)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 628319\/35 + -17950. What is the common denominator of ((175\/98)\/25)\/(-2 - 0) and i?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*c + 385 = 946 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a\/((a*a**(-2\/5))\/a)*a)\/a)\/a)**(-40)*(a**(-3\/4)*a)\/(a**(-1\/7)\/a) assuming a is positive.\nAnswer: a**(-2649\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-1)\/2*(-4)\/2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 253\/620 + -1\/124. Let l be (-2)\/2 - 6\/(-14). Let u = 94350 - 94350.3. Which is the third smallest value? (a) l (b) u (c) -1.3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 0.0305552?\nAnswer: 0.4694448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 3*g**5\/20 + g**4\/2 + 3*g**2 + 12*g. Let a(w) = -2*w**2 - 3*w**2 - 4*w**3 - 7 - 3*w**2 + w**2. What is -6*a(b) - 7*f(b)?\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (6 + 3 + -9 + 4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 84\/24*192\/28. Suppose -4*p - x + 13 = -t, -4*p + 49 = -3*x. What is the least common multiple of 48 and p?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 6*r**2 + r. Suppose -7 = -5*j - 7. Suppose -4*p - 21 = o, 4*o - o - p - 2 = j. Determine n(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*w = 128*w + 27*w - 11904 for w.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**3 + d - 3. Let z be i(-2). Let a = 63 + z. Suppose -6*c + c = 2*l - a, -5*l + 228 = c. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)\/sqrt(9))\/sqrt(4) - (sqrt(65)\/sqrt(5)*1)**2.\nAnswer: -13 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-10)\/(0 + 2). Suppose u*h - 3*c + 69 = -h, 0 = h - 3*c + 21. Is (67\/(-4))\/(3\/h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2153 + 2153 + 3*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-8 + (-2 + 0 - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, l: 5, c: 1, j: 1, f: 2, w: 2}. What is prob of picking 2 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.22249 rounded to 1 dp?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61033488?\nAnswer: 2, 3, 1271531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4\/4 + 461*o**3\/2 + 227617*o**2\/4 + 1739814*o + 14243076 = 0. Calculate o.\nAnswer: -444, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 i when four letters picked without replacement from {i: 5, t: 11}?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -11\/278, 1, -0.0393, 4?\nAnswer: -11\/278","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, u: 2}. Give prob of picking 2 u.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/(-7) - 32\/56. Suppose c = 3*c - 46. Let v = -21 + c. Solve v*k + t = -2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/5 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -734*c**5 + 9546*c**4 - 35284*c**3 + 50104*c**2 - 23760*c + 128 = 0. Calculate c.\nAnswer: 2\/367, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, c: 2, d: 4}. Give prob of picking 3 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -m**2 - 2*m + 469. Let w(p) = -3*p - 3. What is -5*r(k) + 4*w(k)?\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2756 - 68898\/25. Sort n, -27, -5 in increasing order.\nAnswer: -27, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82*(-6)\/20 - (24\/66)\/((-210)\/(-231))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389163?\nAnswer: 3, 73, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w - 8 = 2*s, -4*s - 16 = -214*w + 217*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 1744 = 4*t. Suppose k - t = -k + 2*v, 3*k + 5*v = 694. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vgeluili. What is prob of sequence eug?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -10*k**2 + 6*k. Let c(g) = 3*g**2 - 2*g. Suppose 18 = 2*w + 2. Let f(d) = w*c(d) + 3*z(d). Find the second derivative of f(s) wrt s.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 + 8*o**2 - 4*o + 16. Determine p(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 1 - 1 + (-5 + 3 + 0)*(3*r + 2*r - 3*r))*(-17*r - 10*r + 38*r) + (0*r + r + 2*r)*(3 - 3 + r) + 2*r**2 + 2*r - 2*r.\nAnswer: -50*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + -2. List the prime factors of (6\/(-4))\/(u\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23801 - -42438. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -2 (c) 243 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1945\/24 - -245\/3. What is the common denominator of i and -85\/346?\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.13311 and -54.8908541.\nAnswer: -54.7577441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1518*t - 21287 + 17010 = 19563 + 26254 for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 3*b**2 - 2*b + 1. Let n be g(-3). Suppose -n*p - 8372 + 29505 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 3:02 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 12*c - 5. Let u = 18 - 17. Let n(k) = -6*k - 1. Let l be n(u). What are the prime factors of x(l)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/59, -0.5, -14, 1205, 0.05 in descending order.\nAnswer: 1205, 8\/59, 0.05, -0.5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -13. Let a(v) = 2*v**2 - 7. Let t be a(q). Suppose 5*d - t = 22. What is the remainder when d is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 minus -59806359.859?\nAnswer: 59806216.859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00084185057 to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/105 - (-86)\/(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/(j\/j**2)*j)*j)\/(j*j**(4\/9)*j))**(-7\/10)*(j**(-2\/9)\/j)**34*j**(3\/4)*j**(-1\/6) assuming j is positive.\nAnswer: j**(-1363\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/12721104 and -145\/4625856.\nAnswer: 50884416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 781 + 784 + 780 + 4*a - 2345.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -1.6486?\nAnswer: 8.243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 2*r, z + 3*r = -2*r - 30. Let f = z - -10. Suppose 0 = -5*o + 5*d + 115, 3*o = f*d + 11 + 50. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (21\/14)\/((-2)\/(-44)). Suppose -17 + m = 4*h. Solve h*b - 3*g - 37 = -b, 2*b = -5*g - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5264218 minus 37?\nAnswer: -5264255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -107430855 times 0.03\nAnswer: -3222925.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 + 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 0, -37, 5 in decreasing order.\nAnswer: 5, 4, 0, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**5\/4 - 9*r**4\/2 - 27*r**3 - 137*r**2\/2 - 291*r\/4 - 27 = 0. What is r?\nAnswer: -9, -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - 0) + 15 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/660*-6*((-105)\/60 + 11) and -43\/792.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2196627 and 3.\nAnswer: 2196627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16208 and 272?\nAnswer: 275536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 125033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -2*f**7\/21 - f**5\/60 + 163*f**3\/6 - 208*f**2. Differentiate o(v) wrt v.\nAnswer: -80*v**3 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1488 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 388698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34599?\nAnswer: 3, 19, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 12:04 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/11 - (-28)\/(-154).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*t - 4 = 2*g, -4*g = -t - 2. Suppose g*m + 24 = -4*m. Let h(l) = 10 - 3*l + l - 5*l + 8*l. What is h(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2197 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4 = 2*q. Suppose -q*r - 264 = r. Let f = r - -141. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2 + 42*i - 143. Let y(a) = 6*a**2 - 84*a + 285. Let b(w) = -9*o(w) - 4*y(w). Let b(j) = 0. What is j?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-8))\/(9\/((-45)\/(-20))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 26 = -2. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**3 - 10*h**2 + 14*h - 7. Let y be u(3). Which is the third biggest value? (a) -1\/4 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.10933 + 0.29067. Which is the smallest value? (a) 0 (b) i (c) -0.1542\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 6. Let d(t) = -4*t**2 - 4*t. Let g be d(c). Find the common denominator of 24\/7 and 24\/10*(-9)\/g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6060 or -6058?\nAnswer: -6060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -737 times -15462?\nAnswer: 11395494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 104, 85, 76, 83, 112?\n\"Answer: z**3 - z**2 - 23*z + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -744, -2974, -6692, -11898, -18592, -26774, -36444?\nAnswer: -47602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - f = 15, 4*c + 2*f - 4 - 2 = 0. Let y be c\/(-18) - (-86)\/12. Solve -2*g - 11 = a, 2*a + 3 = -g - y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37*z**2 - 75*z - 6978.\nAnswer: 74*z - 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.79 (b) -0.18028 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 11*f**2 - 29*f + 29. Let l(q) = 194*q + 195. Let o be l(-1). Calculate i(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/(-17) + (20 - 12 - -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaasapsauaatuaassua. Give prob of picking 2 a and 1 s.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 2, 4, -22, -4, 816 in ascending order.\nAnswer: -22, -4, 2, 4, 27, 816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*i**2 - 16 - 4 + 12*i**2 + 4 in the form k + w*i + p*i**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -94, -195, -310, -445, -606, -799, -1030, -1305?\n\"Answer: -a**3 - a**2 - 91*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61553\/14 - 4403. Find the common denominator of k and 31\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0108596894 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 2*r + 5. Let t be a(0). Let n(g) = -15*g**3 - 18*g**2 + 12*g. Let w(x) = 6*x**3 + 7*x**2 - 5*x. Let q(j) = t*n(j) + 12*w(j). Factor q(l).\nAnswer: -3*l**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*d**2 + 10*d**2 - 871*d - 2*d**3 + 1 + 860*d to y*d**2 + w*d + t*d**3 + s and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 379 = 163414*i - 163409*i, -3*l - 5*i = 258 for l.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from mkadmkdjmdvaddmaaadm?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**2 - 72*y + 256 = 0?\nAnswer: 4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z - 5. Suppose 13*q + 6 - 32 = 0. Give h(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*j**2 + 11*j**3 - 190*j**2.\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000455434 rounded to six decimal places?\nAnswer: 0.000455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-117)\/(4 + -1)*30. Let q = -1882 - z. Let f = q + 1162. Round f to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*15\/(-6)*(-604)\/(-906)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/980 and -73\/1960.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -17 - 115*15\/345.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*k - 43 - 7, -14 = 2*w - k. Let a(u) = 14*u - 16. Let v be (-3)\/(-1)*(10 - 222\/18). Let d(m) = 24*m - 30. Let y(f) = v*a(f) + 4*d(f). Give y(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -164? (a) -3 (b) 35 (c) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -421 + -32?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3\/7 + 16808*h**2\/7 + 33624*h\/7 = 0.\nAnswer: -2, 0, 8406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -423 from -1.62.\nAnswer: 421.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -12*z**2 + 3*z**2 + 6*z**2. Let q(f) be the first derivative of -3\/2*f**2 + 1 + 0*f. Determine q(o(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 1. Let y be c(-5). Suppose 41 - 17 = 3*j. Suppose t + 2*h = 5, -t - 3*h = -0*h - j. Put 1, t, y in decreasing order.\nAnswer: y, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -2\/25 (c) 21 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -330.8 (c) 0.1 (d) 1\/4 (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 9*n - 10. Let m = 7 + -17. Let y be l(m). Solve 12 = 4*c - y*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151488 divided by 2\nAnswer: 75744","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + 25. Suppose 0*n - n + h = 0. Calculate the remainder when n is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 3*m - m)*((-m - m + 0*m)*(-13 - 4 + 9)*(-4 + 18*m + 4) + 2 - 2 - 9*m**2 + (2 - 2 - m)*(-2*m + m + 0*m)).\nAnswer: 280*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 14*q - 18. Let i = -9 - -6. Let a(z) = 2*z**2 - 27*z - 35. Let b(t) = i*a(t) + 5*f(t). What is the units digit of b(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.27 and -3.\nAnswer: 0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 89507, 178979, 268387, 357701, 446891, 535927, 624779, 713417?\n\"Answer: -5*w**3 - 2*w**2 + 89513*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89946658.\nAnswer: 2, 73, 616073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + 3 + -2 + 1. Find the third derivative of -o*t**5 + t**2 + 15*t**5 + 0*t**2 wrt t.\nAnswer: 300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61371, -122702, -184033, -245364, -306695?\nAnswer: -368026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13529035, 13529033, 13529031, 13529029, 13529027, 13529025?\nAnswer: 13529023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*z = -239*z + 50. Let q(i) be the second derivative of 2\/3*i**3 - 9*i - 2\/15*i**6 + 0 + 1\/3*i**4 + 0*i**z - 1\/5*i**5. Let q(a) = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyy when three letters picked without replacement from {n: 2, y: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3068 + 4?\nAnswer: -3064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.9 - 20.9. Which is the biggest value? (a) -0.3 (b) w (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 7\/(7\/2). Solve -3*j + y + 3 = f*j, -2*y = -j - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1212180 and 2026656?\nAnswer: 901861920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(3 - (3 + 6)). Suppose 3*d - b = 3*f, -5*d - f + 3 + 7 = 0. Suppose d*s + u = 7*s - 24, -4*u = -4. Solve -s*l - 10 = -0*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 l when three letters picked without replacement from tlluyuyutyyllttl?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 40*d. Let a(i) = -4*i + 8975. What is a(l(y))?\nAnswer: -160*y + 8975","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/5*(-1)\/(-6))\/2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4) + 7\/2. Suppose a = 2*i + 2*a + 8, 3*a + 12 = -d*i. Let x = -3 - i. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.6? (a) 1 (b) -15 (c) 0.2 (d) 2 (e) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -49*s + 48. Let l be x(-23). Suppose -5*a - 3*j + 1762 = 0, -5*a + 2*j = -l - 567. Calculate the greatest common factor of 70 and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -265*l**3*t**2 - 53*l**3*t + 2*l**2 + 6*l*t**4 + 8*l*t + l wrt t?\nAnswer: -530*l**3 + 72*l*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - -2 - -1)\/((-28)\/1926764) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*v + 950*v + 2360 = 304*v + 389*v for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -4. Let u(a) = -a - 1. Let t be u(-4). Solve 3*l = -4*n + 11, h*l - 5*n = -t*n - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and -298406?\nAnswer: 23872.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = -4*o. Suppose -o*z - z + 36 = 2*h, -2*h - 5*z = -41. Solve h*g - 16 = -5*b + 5*g, -2*b + 2 = -g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2463.8*-6\nAnswer: 14782.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-18)*-8*519\/1038\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1819.132 + -1824. Round n to one dp.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 8*a + 39. Let h = -13 - a. Suppose 2*n + n + 6 = h. Do -15 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 8*u + 12. Let v be b(-3). Let y(x) = -x**2 - x + 3. Give y(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25 - 2391762?\nAnswer: -2391787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/8 + 63*h**2\/2 - 5181*h\/8 + 3339\/2.\nAnswer: -3*(h - 53)*(h - 28)*(h - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/3)\/t*t)**(-5\/11)\/((t*t**(-1\/3))\/(t*t**(-1\/6))))\/(t**(-2\/9)*t**4\/t)**(1\/8) assuming t is positive.\nAnswer: t**(-623\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 76, 92, 118, 154, 200, 256?\n\"Answer: 5*u**2 + u + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 - 6*x**3 + 2*x**3)*(6 + 0 - 2) + (x - x + 2*x**2)*(3 + x - 3) + 4*x**3 + 5*x**2 - 5*x**2.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 6. Suppose -70 = -s*i + 6. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, v: 7}. Give prob of sequence vxvx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 1. Let x(j) = -10*j + 4. What is 5*a(n) - x(n)?\nAnswer: 5*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33719109*b**2*n**2 + 2*b**2 + 8*b*n - 5*b + 17188*n wrt n.\nAnswer: -67438218*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l = -120 + 8. Let m(j) = 2*j**2 - 131*j. Let d(c) = -5*c**2 + 391*c. Let q(n) = l*d(n) - 11*m(n). Find the second derivative of q(p) wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138 and 598?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - (48 - -22) - -19.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1182857026 to the nearest integer?\nAnswer: 34393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjkjhkkkihjkojiohkkj. What is prob of picking 2 h, 1 j, and 1 o?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6758 + -3635. Does 33 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6789986 decades?\nAnswer: 81.479832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5601554.\nAnswer: 2, 7, 47, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -15*n**2 - 97*n + 68. Let v(g) = 15*g**2 + 98*g - 67. Let p(m) = -3*t(m) - 2*v(m). What is w in p(w) = 0?\nAnswer: -7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 834, 1818, 3082, 4764, 7002?\n\"Answer: 23*l**3 + 2*l**2 + 817*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -776737\/60 + 12943. Find the common denominator of v and 47\/132.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001820361219 rounded to 6 dps?\nAnswer: -0.00182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + -7 + -6 + 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (339180\/(-344))\/(3 - 2). Let r = -986 - j. Let u = r - 169\/258. What is the biggest value in -0.2, 4, 0, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 2 (c) -3.9 (d) 0.5 (e) 1.13 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1191188 by 7.\nAnswer: 1191188\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 0 - 2*(-12)\/32. Let a = 11\/13 + -83\/52. Let i be (-2)\/5*(-1 - -6). What is the closest to v in a, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vveexeiveeixx. Give prob of picking 1 i and 1 e.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 0 - 15 - (-2 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 595929 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 6440*g**2 + 2627625*g - 327993750.\nAnswer: 5*(g - 525)**2*(g - 238)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-16)\/m*m\/(m\/(m\/((m*m*m\/(m\/(m\/m**(-13)))*m)\/m*m))) assuming m is positive.\nAnswer: m**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 512 - 12*c + 508 - 1023.\nAnswer: -12*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10114184 to the power of 1\/2, to the nearest integer?\nAnswer: 3180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16463, 66810, 150721, 268196, 419235?\nAnswer: 603838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y - 24 = 0. Let z(m) = m**2 + m - 1. Let v(s) = -6*s**3 + 6*s**2 + 6*s + 7. Let o(d) = y*z(d) - v(d). Find the first derivative of o(r) wrt r.\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**2 - 5*b - 3. Suppose j - 5*p + 6 = 0, 4*p - 4 = j - 0. Suppose 5*o - j*y + 11 = -y, -o - 3*y = 13. Is m(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-10))\/(4\/8480). Let g be (p\/(-9) - -4)*600. What is g rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**2\/(t\/t**(-4)*t)*t**(3\/4)\/t**(7\/4) assuming t is positive.\nAnswer: t**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -312890 and -938668\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.1*0.8.\nAnswer: -4.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00065109935 to 5 dps.\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.044 equal to 13\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -67096, -134197, -201302, -268411?\n\"Answer: -2*f**2 - 67095*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 13. Let s(r) = -2*r**2 + 2*r**2 - x*r**2. Let y(a) = 2*a. Determine s(y(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7*x - 6. Let g be t(9). Let h be ((-45)\/10)\/(-2 - (-87)\/48). Let i = g - h. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 700, 689, 672, 649?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 3*g**4\/4 + 11*g**3 - 3*g**2\/2 - 33*g + 12. Factor r(f).\nAnswer: 3*(f - 1)*(f + 1)*(f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*q + 1383 + 18367 = 0, -4*q + 9836 = 2*d. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -3) + 8 - (4 - 7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**8*l*l\/(l\/l**2)*l*l assuming l is positive.\nAnswer: l**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -141653 (base 8) in base 14?\nAnswer: -1437d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 1 + sqrt(1900) - (2*sqrt(19) + sqrt(19))*-4)**2 + 4 - (sqrt(475) + sqrt(475) + -1*sqrt(475) + -1)*1.\nAnswer: 41*sqrt(19) + 10057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653084 is divided by 78.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 79580965812.\nAnswer: -79580965814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((1 + sqrt(125) + 3 - (2*sqrt(125)*-6 - sqrt(125))) + -4))**2 + -4.\nAnswer: 881996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + (sqrt(44) - (sqrt(440) - sqrt(440)*-3)\/sqrt(10)) + sqrt(44))*2)**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m*q*s**3 + 27*m*s**2 + 2*m*s - 11*q*s**4 + 5*q*s**3 + 2*q - 1 wrt s?\nAnswer: 12*m*q - 264*q*s + 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 21*t**2 + 13*t + 17. Let x be y(-21). Let u = x + 153. Let l = u + 205. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {j: 7, w: 7}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 80192621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 49, 114, 215, 376, 621, 974, 1459, 2100?\n\"Answer: 4*d**3 - 6*d**2 + 55*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -88765 (c) 725\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5823, -23193, -52143, -92673, -144783?\nAnswer: -208473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -90, -416, -902, -1548?\n\"Answer: -80*f**2 - 86*f + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 36*t**2 + 81*t + 42.\nAnswer: -3*(t - 14)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -42*(-5)\/10 + (0 - 0). Solve -b = -5*m - 16 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198744 to the power of 1\/2, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -22.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*a**2 - 24\/7*a**4 - 6*a**3 - 2\/7*a**5 + 0*a + 0.\nAnswer: -2*a**2*(a - 2)*(a + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 879796 is divided by 32585.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 1. Let u(n) = n + 11*n - 5 + 11*n - 17*n. Give 10*a(d) - 2*u(d).\nAnswer: -2*d + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*-1*5)\/(sqrt(144)\/sqrt(4)).\nAnswer: -5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 546435 * 0.018\nAnswer: 9835.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 6*r + 84 = 0. Let o be 58\/(-70) - 3\/r. Is -0.004 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010010 + 110100001?\nAnswer: 101001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*u**3 + 2*u**3 + 6*u**3 to m*u**2 + y*u**3 + i*u + j and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 6. Let x be a(7). Let k be 3\/(-9) + (-2)\/(-6). Suppose d = -k*d + x. Solve -2*j - d = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190832658 to the nearest integer?\nAnswer: 13814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1046.9 - 567. Round i to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*f**5 + 2*f**3 - 4\/5*f**2 + 0 - 8\/5*f**4 + 0*f.\nAnswer: 2*f**2*(f - 2)*(f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 4*q**3\/3 - 704. Let u(y) = -13*y + 2. Calculate n(u(c)).\nAnswer: 676*c**2 - 208*c + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235254 is divided by 4801?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 123*q + 78206. What is v(-639)?\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -4, 0.2, -0.1, -0.199 in decreasing order.\nAnswer: 38, 0.2, -0.1, -0.199, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(65\/25)*(-12784)\/(-940).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 116*w - 77*w - 210*w - 370*w - 307*w in the form o*w + m and give o.\nAnswer: -848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111 by -78.\nAnswer: -37\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**4 - 3*p**4 + 2*p**4 + (3*p**2 - 2*p**2 - 3*p**2)*(-556*p**2 - 2113 + 2113).\nAnswer: 1116*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 13) to base 14\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2645.6*0.3\nAnswer: -793.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 2*g**3 - 17 + 9 - g**2)*(-8*g**2 + 16*g**2 - g**2).\nAnswer: -14*g**5 - 7*g**4 + 21*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9493*n**2\/6 - 448*n\/3 + 1\/2.\nAnswer: (11*n - 1)*(863*n - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003174 rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111 + 113. Suppose 120 = -2*u + 4*s, 0 = -4*u + 2*s + 2*s - t. Let a = -26 - u. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 925927 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -14*i**5\/3 - 2228*i**4\/3 - 77792*i**3\/3 - 327488*i**2\/3 + 12017152*i\/3 + 14049280\/3 = 0.\nAnswer: -112, -28, -8\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3 - 3 = 4*p, -3*p = 3*y - 9. Find the common denominator of y + (-262)\/(-12)*1 and 63\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8023861kg to tonnes.\nAnswer: 0.0008023861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n**2 - 480*n + n**2 + 477*n)*(4*n**3 - n**3 - 4*n**3).\nAnswer: -7*n**5 + 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 10, 3, 0.7, -6?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 6:18 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.3 + 2.3. What is the third smallest value in -1, 1\/3, q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**5\/60 + w**4\/24 + w**3\/6 - 2*w**2 - w. Let z(j) = -3*j**2 + 3. Give 2*x(k) - z(k).\nAnswer: k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (57\/(-108))\/(-19) - (-4)\/18. What is the nearest to 7 in 0.4, -1\/5, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 5*w = 33, 3*p + 37 = 1002*w - 997*w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.689908718 to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -4*a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 12:47 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**3)\/z)**35 assuming z is positive.\nAnswer: z**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 81100051 to the power of 1\/2, to the nearest integer?\nAnswer: 9006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103 and 14008?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 11) to base 6\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 798*d = 397*d + 383*d + 108 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b - 10. Let z(g) = 4*g - 9. Let i(h) = -2*j(h) + 3*z(h). Calculate the lowest common multiple of i(8) and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.91 - -2.41. What is the closest to 0.1 in r, -6\/5, -2\/5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 44155320, -0.1 in descending order.\nAnswer: 44155320, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -5*l + 12, -4*h = 11*l - 28*l - 16 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 8:00 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/65944 and 107\/28.\nAnswer: 461608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrr when three letters picked without replacement from {u: 8, p: 1, r: 2, q: 2}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2780546.51*-1.\nAnswer: 2780546.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -166475 + 896472. Let h be q + (1 - (1 - 3)). What is h rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 1 - 1 - t + 6. Suppose 11 = -2*a + 19. Let n be p(a). Solve -5*c + 4*z = -n, 0 = -3*c + 6*c - 5*z - 9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 + 22*q**2 + 20*q - 185. Give j(11).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -3)*(-3)\/(-6) - 1. Suppose 4 = 2*k - b. Suppose -2*n = 2*n - k*v - 236, 5*n = v + 295. Is 40 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**2\/5 + 404114*h\/5 - 40827031249\/5 = 0?\nAnswer: 202057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 33*y**2 + 199*y - 27. Give q(-25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2626.1 + -2626. Let j = 3 - 6. Let y = j - -2.9. What is the nearest to y in f, -4, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64*-5\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2746847953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -4*p + 12, 16 = -p + 19 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*i*q**3 - 3*i*q + 27946190*i + 4*q**2 - 19432*q wrt q?\nAnswer: 12*i*q**2 - 3*i + 8*q - 19432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (12\/22*228\/(-684))\/(4\/6)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20478 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventy-three quarters of a milligram?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**3 + 72*p**2 + 1919568*p - 523519136 = 0. Calculate p.\nAnswer: -794, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -15\/7 (c) -18\/203 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**3 - 66*g**2 - 16*g - 117. Let m(t) = -t**3 - 22*t**2 - 5*t - 39. Let l(p) = 10*m(p) - 3*q(p). Give l(-22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 502*l - 70284. What is x(140)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 10. Let n(j) = 1. Let h(q) = -3*n(q) - o(q). Give h(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/10 + 665\/(-69). Let h = -30\/23 - m. What is the common denominator of 2\/(-6) - 142\/24 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79 - -82. Let i = 3 - k. Factor 10\/3*z**4 - 2*z**2 + 11\/3*z**3 + 0 + i*z.\nAnswer: z**2*(2*z + 3)*(5*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20013 and 1848?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*w - 411644 + 205821 - 139*w**2 + 205823 to the form z + u*w + y*w**2 and give u.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 89*s - 97*s. Calculate the remainder when 21 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 43 = 253. Let j be 3\/(-21) - 5\/z*-36. Suppose 2*q - 3*s - 441 = -2*s, -1090 = -5*q + j*s. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -316 - -102?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + d - 4. Let x = -57 + 49. Let l be r(x). What is the highest common divisor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6102473628.\nAnswer: 2, 3, 31, 281, 58379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -5\/59 (b) -2\/3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*((sqrt(1584) - (-1 + sqrt(1584))) + -3 + 0) + 5)*4*6*-6)**2.\nAnswer: 20736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88\/203 - -4\/29. Let y(i) = i + 10. Suppose 15 = -3*f - 2*f, 0 = -2*g - 4*f - 30. Let q be y(g). Is p bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11907 and 147?\nAnswer: 11907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -221, -197, -153, -83, 19?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 + -0.01. Let i = -105\/4 + 26. Put d, 1, i in descending order.\nAnswer: 1, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -854 - -854.1. What is the nearest to y in 2\/3, 8, 13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 10293 and 0.84 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*12\/9 - 1. Let s(p) = -2 - 4*p + 1 + n*p. Let k(v) = -2*v - 1. Suppose 0 = -3*l - 4*x - 17, -2*l + 5*x + 13 = -3*l. What is l*s(j) + k(j)?\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -2 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 544243 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 630329209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 0, 0.216, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(13) + 3 + sqrt(13) + (sqrt(65)*-3)\/sqrt(5))**2 + (-3*(-1 + sqrt(832) - sqrt(832))*-4)**2 + 0 + -4.\nAnswer: 4*sqrt(13) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 - 5.7078\nAnswer: -5.8378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7682, -7768, -7854?\nAnswer: -7940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 5*h**2 + 5*h + 5. Let b(k) = 8 - 2 - 6*k**2 - 7*k + 13*k + 2*k**3. Determine -5*b(p) + 6*f(p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -282.4 + 280. Let x = 2.329 + h. What is the biggest value in x, 1, 4\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, 6, -0.5, 1\/6, -0.06?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65184\/(-112)*25\/(-300))\/((3\/2)\/3).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 36. Suppose -2*x - 58 = -5*o + 81, 4*x + y = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86.9 + -87. What is the closest to h in 1\/5, -3, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, g: 4, f: 1, o: 1}. Give prob of picking 1 f and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (188\/5)\/47 - (-3 + 2).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28526563?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 100, -49, 0, 15\/394?\nAnswer: 15\/394","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 11 - (4 + -25 + -10 + 16).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3*m = -n + 2, -5*n - 3*m = -6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4203030140 (base 5) to base 6.\nAnswer: 505123441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 1)*1\/1. Let p(b) = 1586*b + 9519. Let c be p(-6). What is the second smallest value in -27, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -36, -76, -142, -240?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-24)*29 + 4\/(-3). Let c(b) = 33*b + 6. Is 17 a factor of c(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 5*m + 1. Let a = 125\/6 - 22. Calculate the common denominator of a and n(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 - 61*r**2 + 39*r - 269. What is d(30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 6*k + 4. What is g(-14)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 272*h**2 + 3890*h + 535. What is s(-15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z = -143 - 37 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 6*r = -4144. Suppose 4*m - r = 5*x, -2*x + 126 = m - 22. List the prime factors of m.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1214, 2275, 3336?\nAnswer: 4397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, r: 8, j: 4, m: 3}. What is prob of picking 1 j, 1 r, and 2 w?\nAnswer: 8\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.3740561kg?\nAnswer: 374.0561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.018 from -13331919.817.\nAnswer: -13331919.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, v: 3, w: 5, x: 1}. What is prob of picking 2 a?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -525 - -524.992. Let v = 400 - 396.992. Let n = u + v. Which is the nearest to 0.1? (a) -1\/15 (b) n (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 3*m - 6 = 0, -4*m = -4*g - 2*g + 22 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**4 - 1 + 502*o - 502*o - o**2 + 3*o**2 + 17*o**3 in the form u + d*o**4 + i*o**2 + k*o + t*o**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 2*u - 0*u. Suppose u = 2*w - 25. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -2. Suppose 0 = 2*l + 3*o + 1, 4*o - 5 = -5*l + 3. Let b(d) = 5*d + 3. Let w(n) = n + 1. Let u(x) = l*b(x) - 18*w(x). Calculate u(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16327 + -16087. Calculate the greatest common divisor of 12560 and b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5)*t*t**(-4)*t)**(-4\/5)\/((t*(t*t*t**(2\/11))\/t)\/(t*((t\/(t*t**(-7)))\/t)\/t*t*t)*(t**7*t)\/(t\/(t**(2\/13)*t)*t)) assuming t is positive.\nAnswer: t**(-199\/3575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 12. Let q(d) be the second derivative of 0 + 9\/2*d**2 - 1\/6*d**4 + 21*d + 7\/6*d**3. Let g be q(4). Determine i(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*l = 10*l + 29944. Let q = l - 778. Solve -6 - 4 = q*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**7\/42 + 5*p**6\/24 + 3*p**5\/4 + 35*p**4\/24 + 5*p**3\/3 + 15*p**2. Suppose v(r) = 0. What is r?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 + 12*r**2 - 10*r**2)*(0*r + 2*r + 0*r) - r**3 + r**3 + 6*r**3.\nAnswer: 18*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -43*c**3 + 29*c**2 + 7*c - 2. Let w(h) = -61*h**3 + 41*h**2 + 10*h - 3. Let z(p) = 7*j(p) - 5*w(p). Determine z(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -2010.545?\nAnswer: -10052.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 2*i**2 - 4*i. Let v = -148 - -236. Let o(u) = -16 - 2*u**2 - u**3 + 16 + v*u - 91*u. Determine 3*n(a) - 4*o(a).\nAnswer: a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9635 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k - 4*m + 22990012 = 34*k, -2*k = -3*m - 45979991. What is k rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 2*i + 10. Determine r(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 604813 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/4 + 2 - 1)*2. Suppose 0 = -s*m - 20 - 5. Let f(v) = v + 6. What is f(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x + 6. Suppose p - 4*o = -2 + 14, o + 16 = -3*p. Let q(l) = -6*l - 2 - 2 - 5 + 16 - 12. Determine p*n(j) - 5*q(j).\nAnswer: 6*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j + 11. Let z be c(4). Solve -z*b + 4 = 5*n + 3, -2*n = 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**11*n**17\/n assuming n is positive.\nAnswer: n**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -14669210 divided by 1466921\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 196368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -26.6*12.9957\nAnswer: -345.68562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**5 - 229*f**4 - 12656*f**2 + 1083220*f wrt f.\nAnswer: -20*f**3 - 2748*f**2 - 25312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1*12*(-2)\/(264\/11)*-2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**3\/b*(b\/b**2)\/b*(b*(b\/(b*((b*(((b*b*b**1\/b*b)\/b)\/b)\/b)\/b)\/b))\/b*b*b)**(-3\/8) assuming b is positive.\nAnswer: b**(-9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*c**2*f**3 + 629*c**2*f**2 + 51*c*f**4 wrt f?\nAnswer: -36*c**2 + 1224*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -9\/7, -3, 14?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50206 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - -78. Let n be k*(-2)\/(-6 + 0). List the prime factors of n\/19 - (-3 - -2)*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 9. Suppose -f - 2 = 4*d - 4, -2 = d. Suppose 0 = f*v - 7*v - 33. What is the remainder when v is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*5\/105*3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -3, -52, 0.017, -1.8, 0.5?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 916307 is divided by 3740.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 583 - 581. Sort 0.4, i, 5, 0.139 in increasing order.\nAnswer: 0.139, 0.4, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*s - 51587 - 36361 = 0. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2674)\/(-3 - 1 - (-4 + -5)). Is x bigger than -534?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 315*y - 316*y - 14, -c - 5*y = -6*c + 50 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.946019077 + -19.946. What is j rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6*z + 9 = 0. Let j = z + 5. Suppose -w - 4*d = 6, 5*w + d = j*d + 12. What is the lowest common multiple of 9 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 48?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 180*f + 6. Let p be q(4). Is 6 a factor of (-2 - 20\/(-15))\/((-4)\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c - 242 = -26*p - 10*c, 5*c + 13 + 10 = -p + 5 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*q**2 + 170*q**2 - 78*q**2.\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - v - 1)*(-5 + 3 + 0)*(-1 - 1 + 3)*((-2 - 2 + 1)*(5*v - 4*v - 3*v) + 5*v + 0*v + 0*v).\nAnswer: 22*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 + 135 + n - 6*n**4 - 50 - n**2 - 56 + 5*n**4 to the form b*n**2 + g*n + x + f*n**4 + o*n**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 3. Let y = 0.7858649 + 15.2141425. Let c = g - y. What is c rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + a = 5, a + 2 = 5. Let q = 132 + -121. Suppose 5*x - q = -1. Solve x*w - 4*w = 4*o + 18, -p*w = -3*o + 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(16)\/sqrt(32).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.078 - -1.07794605. What is b rounded to six dps?\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-972)\/(-84))\/(4776\/(-2786))?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r + 2. Let l = -6 + 18. Let f be 1*2 - l\/(-2). Let y be (-12)\/18 + f\/(-6). Determine k(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -443244 (base 5) to base 2\nAnswer: -11110001011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -51.0329\nAnswer: 15.30987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 12980*x + 1895008. Give h(-146).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 9:29 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 10:40 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -2862?\nAnswer: 2862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + j + 6. Let y(b) = -b - 1. Suppose 7*a + 30182 = 30189. What is a*w(i) + 2*y(i)?\nAnswer: i**2 - i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1237, 4309, 11511, 24907, 46561?\n\"Answer: 344*o**3 + o**2 + 661*o + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 485630563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2839 = 5*a + q + 75834, 5*a = 2*q - 72995. Let h = a + 204285\/14. What is the common denominator of h and -109\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2130013 + -2?\nAnswer: -2130021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02231768 to 5 dps.\nAnswer: 0.02232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 11. Let a be m(10). Let x(v) = 233*v**2 - v + 1. Let t(r) = -r**2 + r. Let y(b) = -t(b) + x(b). Is y(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w = 17*w. Suppose w = 5*i - 47 + 17. Solve 0 = -3*m + i*m + 3*o, 5*m = 3*o - 24 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3953496 and 1536.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -10 - 38 - (-29 + 24)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7453489 to the power of 1\/2, to the nearest integer?\nAnswer: 2730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 365 and 57995580.\nAnswer: 57995580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -21100, -3, -4, 4, 2, -5 in descending order.\nAnswer: 4, 2, -3, -4, -5, -21100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5\/2 (b) -3 (c) 2\/9 (d) 2\/7 (e) -2183\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 6:57 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/136, 0.0802, 5, 2, 2\/5?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 178*o - 14. Let m be c(2). Let j = m - 342. Solve j = -q - 4 + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 80*h**2 - 1589*h - 115. Give j(43).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-440)\/176*12\/(-5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (75 - 50) - 6?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1068\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*x - 664 = 189 + 5 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -62. Suppose 0 = p*t - 5*t - 5*t. Suppose m - 2*m + 221 = t. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1534\/(-236))\/(9\/(-6) + 1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-4))**(-1\/2)\/(z*z\/(z\/(z*z*z**13\/z))*z*z**(-1)) assuming z is positive.\nAnswer: z**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, c: 7}. What is prob of sequence gccc?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 279792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 33967989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h**2 - 1. Calculate t(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 6*d**2 - 38)*(-3*d**2 + d + 5*d**2 - 4*d**3 + 5*d**3) + 0 + d**5 + 0.\nAnswer: -5*d**5 - 12*d**4 - 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 6:42 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*h - 24948 = 68*h + 110*h for h.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -5 (c) 0.04 (d) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7538.3 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w - 168*w**3 + 354*w**2 + 22*w**3 - 15*w**3.\nAnswer: -161*w**3 + 354*w**2 - 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by -362830.\nAnswer: -37\/362830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114 - -117. Suppose -5*p - 2*g + 83 = 0, 0*g - 11 = -p + g. Let i(b) = b**3 - 3*b**2 + 5*b - 6. Let h be i(2). Solve h = -o*k - 2*k + p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3 + 20*7\/420?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, -0.3, -0.1, 2 in ascending order.\nAnswer: -49, -0.3, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1296 is divided by 3\/((-23)\/((-4600)\/24)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52059 - 37377. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 - 1060*o**3 + 10240*o**2 - 28400*o + 24240.\nAnswer: 5*(o - 202)*(o - 6)*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/5620 and -41\/13929170?\nAnswer: 27858340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 477857833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -2324157.\nAnswer: -4648314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2694.812um?\nAnswer: 0.002694812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 6. Let l = j - 6. Let m be (-2)\/3*1*-1. Which is the second biggest value? (a) l (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-14)\/6 + 2). Let t be (-5 + 2)\/((-3)\/o). Let r(g) = -g - 4. Let a be r(-5). Let y(b) = b - 1. Let u(j) = j**2 + 5*j - 5. What is a*u(f) + t*y(f)?\nAnswer: f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x**2 - 7*x - 3. Let s(c) = 17*c**2 + 26*c - 10. Let k(j) = -11*j**2 - 17*j + 6. Let h(z) = -8*k(z) - 5*s(z). What is -5*h(y) - 4*m(y)?\nAnswer: y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, o: 4, l: 8}. Give prob of sequence lolo.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 6*m**2 - 2*m - 9. Let s = 19 + -25. What is q(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166423 is divided by 11084.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - x - 7 - 35 = 0, n = 2*x + 14. Let b = n + -11. Solve -2*k = b*k + 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 26*f**3 - 6*f**2. Let u = 34\/231 + 1019\/924. Let c(r) be the first derivative of 0*r - 1 + 1\/3*r**3 + 0*r**2 - u*r**4. Calculate 16*c(l) + 3*i(l).\nAnswer: -2*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 302865?\nAnswer: 1817190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i. Let g(j) be the third derivative of j**4\/4 + 5*j**3\/6 + 42*j**2. Let l(k) = 11*k + 8. Let v(u) = 5*g(u) - 3*l(u). Determine v(n(m)).\nAnswer: 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + a**2 - a + 1. Let z(s) = 4*s**3 - 7*s**2 + 3*s - 11. Let l(r) = 5*o(r) + z(r). Let c be l(-3). What is the highest common factor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14340\/42 - -2*(-15)\/70. What is the highest common divisor of y and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 10*s - 8. Let x be a(9). Solve -5 = -o - x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6063 divided by -2021.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7388)\/(-11760) + 1\/(-4). Let n = g - 12\/49. Sort -4, -3, n in descending order.\nAnswer: n, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24416180 to the nearest integer?\nAnswer: 4941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010001011010001111010 - 10?\nAnswer: -11010001011010001111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/16)*u\/(u\/(u**(4\/5)\/u*u*u)))**(-37)\/((u**(-5\/3)*u**(-2\/11)\/u)\/(u*u\/(u**(-7)\/u)*u**7)) assuming u is positive.\nAnswer: u**(-105109\/2640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -9, -3.\nAnswer: -9, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvvm when four letters picked without replacement from mmvbmmmbbbvbbbmbbm?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4711*u**2 + 23557*u - 4. What is z(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56998*t**6 - 13*t**2 - 1650*t - 1?\nAnswer: -6839760*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {y: 4, w: 3, m: 6}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0034759 rounded to 4 dps?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 784959.\nAnswer: 1569918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.042 + 0.041872. What is z rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -403 + -22?\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4754*u**3*v**3 - 3*u**3*v**2 + 147*u**2*v + 18*u*v**3 wrt u?\nAnswer: 28524*v**3 - 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 183103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 26, 16, -8, -52, -122, -224, -364?\n\"Answer: -m**3 - m**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y - 7*y + 0*y)*(3 + 0 - 4) - 18*y + 41*y - 21*y - 33 in the form i + l*y and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/3, 1\/3, 2\/9, 29?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(1\/2)*(-2 + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-20))\/(8\/5)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510*z**4 + 6845*z**3 - 12720*z**2 - 9455*z - 660 = 0.\nAnswer: -1\/2, -4\/51, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410553.\nAnswer: 3, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 16*n - 9*n - 6*n - 26 - 5*n. Let l be g(-3). Put -3, -5, l, 5 in decreasing order.\nAnswer: 5, -3, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*v - 2, 2*h = 5*v. Suppose u - 11 = -k + 2*k, -5*u = h*k - 45. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10704 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, n: 5, m: 4}. Give prob of picking 1 n and 1 u.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.15 + 0.05. Let l = 0.2 + v. Suppose 0 = -5*a + 4*d - 40, 0 = 2*a - 3*a + 5*d - 29. What is the second biggest value in l, a, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 2:31 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*c = 8, 0 = -2*c + 5 - 1. Suppose 3*a = 3*u - 4 + 1, 2*u - 8 = 0. Suppose -b*d + a = -d. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122101 (base 4) to base 11.\nAnswer: -1299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2826*q - 1 + 18*q**4 + 2829*q - 516*q**3 + 538*q**3 to p + n*q**3 + s*q**4 + z*q**2 + w*q and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 + 0*p**3 + 0*p**3)*(-p + 0 + 0) - p**4 + 2*p**4 + 0*p**4 + (3*p**3 + 2*p**3 - 4*p**3)*(p - 2*p - p).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000000 + -111000111?\nAnswer: -10000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 12*f**2 - 5*f**3 - 2 + 0 - 3 + 8*f**5. Let w(s) = 7*s**5 - 4*s**3 + 11*s**2 - 4. Let d(m) = 4*t(m) - 5*w(m). Find the third derivative of d(a) wrt a.\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*g + 2766, g + 2*x = 584 + 109. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1050, -1047, -1044, -1041, -1038, -1035?\n\"Answer: 3*o - 1053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -g + 9, 3*g + t + 8 - 15 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4647 - -51119\/11. Let t = 163 - 84. Is t at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 4:09 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*(-54)\/72?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10377*q - 209*q**2 + 10375*q - 220*q**2 to k + f*q**2 + a*q and give f.\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -p + 3, -5 - 7 = 5*r - 4*p. Suppose r = -2*u + 3*u - 14. What is the remainder when 41 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27214.\nAnswer: 2, 11, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 4*i**5\/15 - 7*i**3\/6 + 9*i**2. Let d(h) be the first derivative of f(h). Let g(q) = -2*q**2. Give g(d(c)).\nAnswer: -2048*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 67082443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 521 - 20?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 14*u - 22. Let a(x) = -41*x + 59. Give -4*a(o) - 11*l(o).\nAnswer: 10*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 4*l**2 + 2*l + 2. Let u be q(-3). Which is the third smallest value? (a) 0 (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 8*c**2 + 8*c + 11. Let r be g(9). Let v(s) = -2*s**r - 2 + s**3 + 3 + 13*s - 19*s. Give v(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 1 = m, -11*z = 119 - 130 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 881663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 121645 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 7*d + 69. What is p(-13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 703*u + 3912. Calculate j(-6).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 142.3 - 142. Let g = -144 - -134. Which is the second smallest value? (a) g (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**2 + 22852*y**3 - 6*y**2 - 5*y**2.\nAnswer: 22852*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**5 + g**4 - 1. Let v(x) = -3*x**5 - 5*x**4 - x**2 + 5. Let j = -5 + 9. Let k(f) = j*v(f) + 20*y(f). What is the third derivative of k(m) wrt m?\nAnswer: 480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/31 and -63\/22516.\nAnswer: 697996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 16 + (3 - (-3 - 3 - -77))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 2*h**2 + 6*h + 6. Let r be (-2 + 1)*(-6)\/2. Let y = -7 + r. List the prime factors of z(y).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-1\/2))\/i)\/i)\/(i\/(i**(3\/10)*i))*i*i**(-4\/3)*i*i**(3\/5) assuming i is positive.\nAnswer: i**(16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839 is divided by (-5424)\/(-339) + (-1)\/((-1)\/8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d + 34 = -251. Solve -3*o - d = -0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -15618*r - 1749210. Determine v(-112).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23\/7 - (6\/21 - 0). Solve -4*l + k = 3, 3*l - 4*l - k = -y for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1 - 2. Let v(m) = -m**3 - 3*m**2 + 5*m - 1. Let a be -1 + (0 - 1) - 2. Let c be v(a). What is the nearest to j in 0.5, 5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -118546 or -118554?\nAnswer: -118546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -12. Let i = 119 + -73. Suppose -5*l + 276 = i. What is the remainder when l is divided by n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2206431754 to the power of 1\/2, to the nearest integer?\nAnswer: 46973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d = 3*m - 46, 3*d - 22 = -m. Suppose m*i - 16 = 6*i. Let k be 3 + 2\/i*0. Solve k*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhhjitihjhmhjhhxhi. Give prob of picking 1 m and 1 i.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 15860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 489164870 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1467 + 1437.85. What is i rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 6 = 2*p. Suppose -3*q + 248 = -p*v, 0*v + v + q = -119. Let k = -83 - v. Is k a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 19 - (-4 + -10 + 4 + 13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -71 (b) 2 (c) -0.1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = 2*i - 60186, -3*y - 150618 = 153*i - 158*i. What is the ten thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42 or -1862\/45?\nAnswer: -1862\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26519317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**3\/3 - 8*i**2 + 17*i - 8. Let j be u(-17). Suppose j = -f - 29 + 37. Solve 2 = 5*w - f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**2 + 10*w + 21*w + 144*w - 5*w + 171 = 0.\nAnswer: -1, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 182 = 22*y - 11*y. Solve a - 28 = 4*p, 2*a = p + y + 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**0*m)\/m)**(-1\/10)\/(m**(2\/9))**(-3\/7))**(-49) assuming m is positive.\nAnswer: m**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -441, -438, -437, -444, -465, -506, -573?\nAnswer: -672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6238915108?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**3 + 4*t**2 + 2*t + 7. Let f(p) = p**3 + 1. Let i(m) = -4*f(m) + s(m). What is the remainder when 32 is divided by i(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-440)\/(-4840) + 156\/(-22)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360436436.\nAnswer: 2, 1583, 56923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*s*v**4 + 1516*s + 3*v**4 + 44*v**3 + v**2 wrt v.\nAnswer: -72*s*v + 72*v + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -1\/2, 4, 3, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18503 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: Let y = 317 - 318.7. What is the second smallest value in y, 2\/29, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((2*sqrt(1500) - sqrt(1500))\/(sqrt(35)\/(sqrt(7)*1)) - -1*sqrt(21)\/(sqrt(14)\/sqrt(2))*1) + -4)**2.\nAnswer: -528*sqrt(3) + 2274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25\/4 - -6. Let b(a) = 4*a. Let z be b(-1). Let o be (-3 - 14\/z)*-2. Which is smaller: u or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13583 and 4335.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -7*k + 33 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 506269 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7978832.000002 - 7978839. Let p = s + 7. Round p to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**9*k**(-1\/19))**(12\/11) assuming k is positive.\nAnswer: k**(2040\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.061 + 0.441. Let j = s - 0.18. Which is the third biggest value? (a) -2\/9 (b) j (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 3\/13, -0.1, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -12404 (base 5) to base 8\nAnswer: -1723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/2106*-18)\/(1\/(342\/(-4))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117, -98, -5.\nAnswer: -117, -98, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -12*w**2 - 4. Let l(y) = -3397*y**2 - 946*y. Let x(m) = -43*m**2 - 12*m. Let j(v) = 6*l(v) - 473*x(v). Determine q(j(f)).\nAnswer: -22188*f**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 9:37 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 770 = -9*p - 5*y, 2*p - y - 758 = 0. What are the prime factors of p?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1180.9 + 1180.8999992889. Round h to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14508 divided by 3?\nAnswer: 4836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 - -36.4. Let w = j - 3. Let m = 113\/322 - 3\/46. Which is the closest to -1? (a) m (b) w (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -2787783381.\nAnswer: -2787783380.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41\/2*x**3 + 92*x - 2*x**4 - 137\/2*x**2 - 42 = 0. What is x?\nAnswer: 1, 2, 21\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*u**3 - 190*u**2 - 111*u - 35 wrt u.\nAnswer: -84*u - 380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 207\/(-459) - (-2)\/6. Let w = -0.6 + 0.1. What is the smallest value in z, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20638086 - -4?\nAnswer: -20638082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -29*u + 31*u - 3 - 2. Let z(i) = -1 + i - 5 + 4. Give -4*j(n) + 10*z(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -4*132\/(-192))\/(1\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280545 is divided by 17524.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/30 and -53\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-6 + (6 - 7)) - -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*k = 20, 2*k + 13 = -c + 5. Let p = -20\/9 - -106\/45. Which is smaller: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -686.68 * 0.15\nAnswer: -103.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 0*n**4 + 11\/2*n**2 + 0 + 11*n - 1\/4*n**5 + 0*n**3. What is the derivative of k(s) wrt s?\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + sqrt(176) + sqrt(176) - (1 + sqrt(176) + -2))**2.\nAnswer: -8*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*y = 79 + 26, -x + 3*y - 32 = 0. Let s = 24471\/8 + -3063. Find the common denominator of s and (6\/4)\/((-10)\/x).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 28.05.\nAnswer: -84.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**2. Let k be (225 + -225)*2\/(-4). Let d(u) be the third derivative of 26*u**2 + 0 + 1\/12*u**4 + 0*u**3 + k*u. Determine d(m(r)).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 8*p - 2 - 4*p + 2*p**3 - 6*p**2 - 4*p**3 + 7*p + p**3. Let d = 6 + -14. What is the remainder when u(d) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c. Let z(y) be the third derivative of -2*y**5\/15 - 45*y**2. What is z(a(h))?\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -5*t + 2*t**3 + 1\/4*t**4 - t**2 + 2. Give j(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*(g\/((g*g**(2\/11))\/g))\/g)*g*g*(g\/(g\/(g*g**(1\/14)\/g*g)))\/g*g*(g*g**(-2\/11))\/g*g*g**(-2\/5)\/g assuming g is positive.\nAnswer: g**(187\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 534742384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 75, -9, -239, -687, -1425, -2525, -4059?\n\"Answer: -12*q**3 - q**2 + 3*q + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-3)*-6*121\/(-45496).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) + -1*sqrt(68))*6 + sqrt(68))\/sqrt(4))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1474.844 - -1475. Which is smaller: d or 15?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -27?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/9 - 276\/(-9). Suppose -i + a + x = 2, 0 = -3*i + a + 82. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffnnnnf. What is prob of picking 2 n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22*-3546.409.\nAnswer: 780.20998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153285 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23919062*n**2*w - 3*n*w + 3*n - 10301096 wrt n?\nAnswer: 47838124*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**(-4\/5)\/(s**(-1)*s*s*s**(-1)\/s*s)*(s**(-2\/5))**(-44)*(s**0)**(-3\/17) assuming s is positive.\nAnswer: s**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319809029.\nAnswer: 319809029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8092.41 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 9*r - 2. Suppose x + 5 = 2. What are the prime factors of m(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10186 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: What is (18\/(216\/(-84)))\/((-2)\/6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**4 + 4*t**2 - 3*t. Let z be -6*2\/8*2. Let o(g) = -g**2 - g. Let p(k) = z*o(k) + f(k). What is the third derivative of p(r) wrt r?\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 364176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -0.7, -3\/5, -54.94?\nAnswer: -54.94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*p + 26*p + 117 = -213 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383*l**2 - 139*l**2 - 142*l**2 - 119*l**2.\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 times 56989?\nAnswer: -6268790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -35. Solve -3*a - f = 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 2 + 0 - 6*q.\nAnswer: -6*q + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -804?\nAnswer: 7aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -859 from 899.\nAnswer: 1758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2368*x + 4. Let p(q) = 2371*q - 5. What is 6*a(l) + 5*p(l)?\nAnswer: -2353*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {u: 7, s: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - (36 + -9) - (1 + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Suppose 2*y + x - 1 = 0, 3*x = 2*y - 11 - 2. Let w be 6\/12 + 5\/y. Solve w*k + 2 = -h*u, 7*u = 2*u + k + 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.051 + 0.151. Let h = -49 + 25. Let y be 2 - (-1)\/(10\/h). Is l greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/45 - (5360\/75)\/(-4). What is the third derivative of -7*r**2 - 26*r**5 + h*r**4 + 31*r**2 - 18*r**4 wrt r?\nAnswer: -1560*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 9*b**3\/7 + 31296*b**2\/7 - 52179*b\/7 + 2982 = 0.\nAnswer: -3479, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2491047 divided by 13?\nAnswer: 191619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 + 4*v**2 + 4*v + 3. Suppose o + 19 = 4*l, -8*l + 3*l = 4*o - 8. Let z(g) = -4*g**3 + 7*g**2 + 8*g + 5. What is l*z(k) - 7*r(k)?\nAnswer: -2*k**3 + 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 3636.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -74 from -10915.\nAnswer: -10841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a centimeter in micrometers?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**2 + 293*s + 232. Let d be v(75). Round d to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6*p**3 + 23*p**2 - 108*p + 662. Determine q(7).\nAnswer: 3091","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -862600?\nAnswer: -8625b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9383196533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18529 - 18527. Sort 0.05, v, -1\/4, -1, -28.\nAnswer: -28, -1, -1\/4, 0.05, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*g + 62*g - 180*g + 13 - g - 13 + (1 - 4 + 2)*(-2*g - 3*g + 3*g) + 3*g - 2*g + 0*g as v + a*g and give a.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*w**2 + 235*w**2 + 63*w**2 - 435*w**2 + 74*w**2.\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 3*k + 11 - 1, 3*r = k + 5. Is 12 a factor of 1 + r\/(1\/47)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 4) + (4 - (3 - -605599)). What is j rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1167\/(-18) + 92\/(8 + -31) + (-2)\/12.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001076585 to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 318981072 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**2 + 0 + 0. Let c(i) = -i**2 - 6*i. Let t(a) be the first derivative of -a**3\/3 - 5*a**2\/2 - 5. Let b(l) = -5*c(l) + 6*t(l). What is d(b(v))?\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(324\/(-513)) - (-2 - (2 - 0))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*t + 471, 5*t + k - 757 = 3*k. Let b = 344 - t. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1037 (base 14) to base 16\nAnswer: ae9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - 9100\/(-140)*-2.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -ebb65?\nAnswer: ebb68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 587*r + 1670*r - 399*r + 142*r. Let j be z(4). What is j rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**3 - 34*r**2 - 2*r + 152 wrt r?\nAnswer: -6*r - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11575?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b + 10. What is the smallest common multiple of z(-6) and 20?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.0097038 to one decimal place.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4) + 1134\/(-108))*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*g**2 - 647*g**2 + 140*g**2 + 153*g**2 + 239*g**2.\nAnswer: 90*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -634514 by 84.\nAnswer: -317257\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ffbfftbhtjtfjjjjjhf?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90*27\/54)\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10) - 96\/10. Let b be (-108)\/(-20) - (-4)\/u. What is the second derivative of 22*r**2 - 3*r + 5*r**5 - 2*r**b - 22*r**2 wrt r?\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20709 and 3861?\nAnswer: 227799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -194 + (11 - (-244 - -132))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13691 * 0.5\nAnswer: 6845.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 9020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-6 + (-1 - 3) - (-4 + 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4 = 0, 4*b + 6 = -5*q + b. Suppose -6*p + 23 + 67 = q. What is the remainder when 102 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 83. Solve -102*s**4 - n*s**4 - 1960*s**3 - 12*s**5 - 5000 - 7200*s**2 - 11500*s - 96*s**4 = 0.\nAnswer: -5, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 2*z - 3*l, -l - 10 = 5*z + 78 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -2) + (-6 - -7) + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -128*j**4\/5 - 30974*j**3\/5 + 254564*j**2\/5 - 96794*j + 1500 = 0. Calculate j.\nAnswer: -250, 1\/64, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*sqrt(162)*-6)**2*1*1*-4.\nAnswer: -1749600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/5109624 and 101\/10918.\nAnswer: 5109624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 325549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9726 is divided by 1083?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 35*k - 36*k. Solve -2 = k*u + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**4\/5 - s**2\/5 = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -99358.4 rounded to the nearest one thousand?\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*g + 192*u - 201*u, -3*g + 5*u + 35 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = p + 26, -4*l = p + 10 + 25. Suppose -4*j = -8, -2*f + 3*j - 2016 + 2014 = 0. What is the closest to f in 0.4, 2\/17, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfffnffmififfowi. What is prob of sequence innn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*w + 940, -v + 40 = 3*w - 136. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 1920.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 12*p - 12. Determine f(-14).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 164448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193 = 16*x + 428 - 459 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) 2\/3 (b) -5\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.00064 + 0.00068163. Round x to six dps.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12725 and 1325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/9 - 28*b**2\/9 + 10*b\/3.\nAnswer: -2*b*(b - 1)*(b + 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 211\/150345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/3 + 4085*g**2\/3 + 513359*g + 46356477.\nAnswer: -(g - 4439)*(g + 177)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122829 by -40943.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -66 smaller than -86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5149171 and 3059?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98436\/5171 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 5*m + 3. Let b be c(5). Sort b, 4, 3.\nAnswer: b, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101 - 89. Suppose -2*k + z = 4*k. Is k at most -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u. Let s(o) = -o - 4. Let q(p) = 3*p + 11. Let v(g) = 4*q(g) + 11*s(g). What is v(z(b))?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/3)*q**13)\/(q**(5\/3))**9 assuming q is positive.\nAnswer: q**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*z = -17, -3*z - 2*z + 34 = 3*x. Let n(q) be the first derivative of 0*q**x + 4 - 1\/2*q**4 - 2*q + 0*q**2. Differentiate n(m) with respect to m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 108*c**2 + 5*c - 49. Let h(g) = -28 - 61*g - 21 + 67*g + 106*g**2. Let y(o) = 5*h(o) - 6*m(o). Differentiate y(j) with respect to j.\nAnswer: -236*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1110000001111011011001?\nAnswer: -1110000001111011011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 57\/12 - (-6)\/24. Let d(y) = y**3 - 5*y**2 + 4*y - 4. What is d(f)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 15) to base 3\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30141 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 25618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 4, -2, 26.\nAnswer: -2, 3\/4, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25280 and 4195.\nAnswer: 21209920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**5\/2 - 5*f**4\/2 + 33*f**3\/2 + 193*f**2\/2 + 40*f - 150 = 0.\nAnswer: -5, -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -26 - 2 - 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 - 2)*(-t**3 - 2*t**5 + t**3).\nAnswer: 16*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*q - 3 = -10, 0 = 4*d + 4*q. Let o be (-20 + 9)\/(d\/(-1)). Let n be (-2)\/o + (-108)\/110. Which is the closest to -1? (a) n (b) 3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 5\/2. Which is the second biggest value? (a) -1\/3 (b) w (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 9:44 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-2 - 1) + (-99)\/(-22). Let m(k) be the second derivative of -1\/2*k**3 - 1\/4*k**4 - c*k**2 + 0 - 3*k. Calculate m(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 3 + 9 = 0. Differentiate -113 - 186*n**2 + 75 - 132 + 36*n**j with respect to n.\nAnswer: -300*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*u - 14 + 214 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1269 + -1261 - ((3 - 1) + -1 - (0 + -6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -10*h**3 - h**2 + 6*h + 5. Let s be f(-2). Let o = -67 + s. Suppose -4*a + a + 36 = 0. What is the smallest common multiple of a and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30604 divided by -1?\nAnswer: -30604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 36\/234 - -38*(-4)\/(-26)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - g + 1. Let v = 3 - -6. Let s = v + -12. Let u(r) = -2*r**3 + 3*r**2 + 5*r - 9. Let j(t) = s*p(t) - u(t). Find x, given that j(x) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1532 is divided by 183.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2205 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37.4145 - -37.5. Round k to 3 dps.\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j + 2. Let b(u) = u - 1 - 1 + 3*u. Suppose 0 = z - 0*c - 5*c - 12, -4*z + 2*c - 6 = 0. Give z*b(g) - 2*f(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 > 1.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 104*p**3 - 4784*p**2 - 23*p + 1059. What is t(46)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 37231*s - 1191391. Calculate l(32).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14630 is divided by 2843?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2 + 361*b*v - 4*b + 45422*v with respect to b.\nAnswer: -2*b + 361*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6583208 milligrams to grams.\nAnswer: 0.0006583208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 1\/4*r**4 + 3\/2*r**2 + r**3 + 2*r - 13. Give w(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 6*s + 10. Let i be n(7). Solve 0 = -l - 4*a - i, -5*a - 25 = -0*a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -30*r - 4 - 18 + 15*r + 18*r. What is the units digit of n(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from xietxtixxi?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3582*t**2 - 7662*t**2 + 4080*t**2 + 34*t**3.\nAnswer: 34*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15676 and 2?\nAnswer: 15676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 35336?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 1\/1382, 1\/9, 1, 27, 3.\nAnswer: -3, 1\/1382, 1\/9, 1, 3, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 40000 = 2*i. What is i rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 326*d - 303*d - 32430. What is the highest common divisor of 36 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 7*f**2 + 11*f. Give d(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v**5 - 1266*v**4 + 1652*v**3 + 284*v**2 - 550*v - 138 = 0.\nAnswer: -1\/3, 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 28)\/(1 - -1). What is the highest common divisor of h and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9229 is divided by 440?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 195985729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 9 - 1)*(2*p - p + 0*p).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 5:58 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-589)\/(-593) + -1)*((-774)\/(-43))\/108. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, a: 1, x: 5, i: 3, z: 1, v: 4}. What is prob of picking 4 v?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhi when three letters picked without replacement from hzgzgqqzzqzizz?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 4*t + 3*t - 5)*(-32*t**4 + 50*t**4 + 249*t**4).\nAnswer: -267*t**5 + 534*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205807714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -106660 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55341\/(-5082) + (-42)\/231 + 0 + 11.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 28*d**2 + 18*d + 38. What is the units digit of u(27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*p - 112*p = 122*p - 16*p - 7144 for p.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.226 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1111)\/1212)\/(-2*2\/48).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2844845?\nAnswer: 5, 167, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 6759444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 493781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*g - 44 = 277*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1 + 1 - (-50 - -55)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014623161 rounded to seven decimal places?\nAnswer: 0.0001462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1242)\/(-12))\/9*6. Let t = 52 + c. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3417421 (base 11) in base 8?\nAnswer: -26646170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -2\/5, 3, 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46 or 237\/5?\nAnswer: 237\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 8*q**2 - 4*q**3 - 6*q**2 + 0 + 8*q**3 as h*q + j*q**3 + a*q**2 + o and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6*15\/20 - 3\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5)*-4) - ((sqrt(14)\/sqrt(7))**2 + -2).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 0.4 (b) -62\/59 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3674*j**2 - 35*j + 3698. Let x(q) = 1225*q**2 + 13*q - 1232. Let y(g) = 3*m(g) + 8*x(g). What is the derivative of y(p) wrt p?\nAnswer: -2444*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x**2 - 7*x - 8. Let n be j(-1). Suppose -n = -8*z + 26. Suppose -5*q = -2*v - 149, -q + 19 = z*v + v. Is 29 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101646108 divided by -6.\nAnswer: 16941018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 not equal to 241.455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 954849593 to the nearest integer?\nAnswer: 30901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(0 + (3 - 4)). Determine g so that -4 - 2*g**2 + j + 8*g - 5 + 0*g = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, o: 4, r: 4}. Give prob of picking 1 o, 1 r, and 1 q.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26308.07 kilometers to micrometers.\nAnswer: 26308070000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96392210*s**3 - 219762362*s.\nAnswer: -578353260*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 - t**2 - 7*t - 3. Let y(m) = 3*m - 41. Let d be y(15). Let s be z(d). What is the highest common divisor of s and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 7*a + 14. Let y be u(6). Find the common denominator of (4\/6)\/((-4)\/(-29)) and (2 - (-174)\/y) + -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*c - 9517 = 85197. What are the prime factors of c?\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 + 28 - o**2 - 28.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -27, 5, -0.016, -2\/7, -2?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n + 2. Let c be y(1). Suppose l = -c*m + 3*l + 3414, -3*m + 2578 = -5*l. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 11*d - 35. Let i be s(4). Solve j + i = 4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(42)\/(sqrt(28)\/sqrt(16)))\/(4*(sqrt(3) + sqrt(9)\/sqrt(3)) + -2*sqrt(3)*-3).\nAnswer: -3*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -311*n = -304*n - 14. Solve -4 = -n*m + 23*u - 22*u, 4*m + 4*u = 20 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 - (0 - 1 - -5) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 4*a + 1. Let x be v(5). Let h be (-3)\/6 - 5960002\/x. What is h rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -132 and 2557.\nAnswer: -337524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1565 - 1147. What is the greatest common divisor of d and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.208 - 15.792. Is 3 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -36 - 8. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -73412 or -1321435\/18?\nAnswer: -73412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 275. Let g = r - 259. Suppose -2*z - a + 13 = 0, -z - 4*a + 3*a + 5 = 0. What is the greatest common divisor of z and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 6:58 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 18*o**3 + o**2 - 69*o + 69. Give i(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7975 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -735.8158 to one decimal place.\nAnswer: -735.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -130.014 - -0.014. Let w = 263465924.0000111 + -263465794. Let m = k + w. What is m rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*n = 320, -z - 4*n = -65 + 7. What is the remainder when 259 is divided by z?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -571189, -1142385, -1713581, -2284777?\n\"Answer: -571196*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28921590872\/1929 - -14993048. Let x = i - 2\/643. Which is the smallest value? (a) x (b) 5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5498912 is divided by 301.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21116 (base 15) to base 9.\nAnswer: -168763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32\/96 - ((-1150)\/(-3396))\/1. Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5 = 21. Let z = u - -18. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -16*t**2 + 393*t + 28. Determine c(26).\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 + 11110001110101100?\nAnswer: 11110001110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1541353 + -147829906.\nAnswer: -147829906.1541353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16833)\/12)\/(9\/30). Let a = 4665 + p. Let x = 5839\/250 + 18\/125. Calculate the common denominator of x and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/5 and (-15)\/(-6)*267\/(-60).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 61, 321, 763, 1387, 2193?\n\"Answer: 91*d**2 - 13*d - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5762 and 1892?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 13 = -2*d + 9*k, -5*d + 25 = -5*k. Solve 2*l = d*l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + -1 + 5 - (1*sqrt(95))\/sqrt(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 0*d**6 + 0*d**3 + 0*d - 1\/105*d**7 + 0 - 2*d**2 + 0*d**5 + 1\/8*d**4. What is the second derivative of w(t) wrt t?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/((17*(-37)\/(-12580))\/(2\/12)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 6, -0.2 in decreasing order.\nAnswer: 6, 4, 3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 221702 (base 11) in base 10?\nAnswer: 353564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -53066 (base 12) in base 6?\nAnswer: -2200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*(3*sqrt(288) - sqrt(288) - sqrt(2)) + -2 - (sqrt(18) - sqrt(126)\/sqrt(7)*6)\/(4*sqrt(63)\/sqrt(7)).\nAnswer: -2 + 557*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 479069760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**4 + w**4 - 4*w**4)*(-28 + 32 + 357*w - 8).\nAnswer: 714*w**5 - 8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 8032 - 589 = 0. Suppose 492 = 3*s + 2*q, -5*s + 15*q + p = 16*q. What is the remainder when s is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*o + 2*q + 3021, -o - 3*q - 744 = 0. Let r be o\/(-12) + 1\/(-4). Suppose 5*v - 2*v - r = 0. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*4*(-99)\/(-99).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 9 - 1, 17*b - 12*b - 344*v = -343*v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1125?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**2 - 3*a + 2*a**3 + 0*a**2 - 6*a**2 to the form c*a**2 + m + b*a**3 + d*a and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1200)*1 - sqrt(1200))\/(sqrt(20)\/(-2*sqrt(10))))\/((1*sqrt(6)\/sqrt(2) + -5*sqrt(3)*-2)*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (698\/68)\/(5\/(-20)). Let h = 41 + w. Suppose 4*r = r + 3. Is h less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13765423, -27530855, -41296287, -55061719, -68827151, -82592583?\nAnswer: -96358015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4768 is divided by 217?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 34*b - 396. What is x(13)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaallaaalaaa. What is prob of picking 2 a and 2 l?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 16*i + 12. Give y(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -118198794 divided by -6?\nAnswer: 19699799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((1 - 2) + -2 - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 12, s: 6}. Give prob of sequence xx.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.8 and -573.\nAnswer: 1031.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45569 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 55)*(1350\/(-144) + 9).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17612765 and 20911.\nAnswer: 193740415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78 + 35. Let m = v + 47. Let c be 8*(12\/m - 2). Solve s - 3*s = -c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8, 8, 20, 50, 104, 188, 308?\n\"Answer: h**3 - 7*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9183653 + 284.\nAnswer: 9183937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 45786050839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6389 times 0.5?\nAnswer: -0.31945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 116849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -6.1761\nAnswer: -3.1761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 66. Let w = 32 + d. Solve -w = -0*o + o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 287.163 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*p = -14, -2*b + 2 = -4*p - 12. What is the highest common divisor of 763 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -219 - -392. Suppose 3*p - f = 382. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 174 and 20?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3008?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 2608\nAnswer: 5\/2608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1125*z**3 - 5875869*z**2 + 17669088*z - 94068 = 0.\nAnswer: -5226, 2\/375, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3104*z**2 + 15105*z wrt z.\nAnswer: 6208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4)*8 - 4. Suppose -16 = y - 2*t, z = -y + 2*t - 3*t - 7. Sort 2, -4, y.\nAnswer: y, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 - (-90 + 170 + -82)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.19 or -0.02?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -572723 > -572714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -22251726 divided by 1554\nAnswer: -14319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-147)*(-1)\/((-4)\/4).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 10:00 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -699 equal to -200111\/286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 856*r - g = 844*r - 57, -r = 4*g + 17 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + (24 - 27) - (27 + 6).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/7, 4, 5\/4, 1.916, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1\/4 (c) 5 (d) -1\/6 (e) 49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 2\/7, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4786*f + 5531*f - 9407*f in the form z*f + q and give z.\nAnswer: 910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18698767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2 + 0 = -2*u, 3*x = -12. Let a(w) = -95*w + 4. Let g be a(u). Let h = -144 + g. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p - 26. What is f(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 - 7*u - 2. Let n be o(-3). Suppose 2*k - 5*d = 33, k + 2*d = d - n. Solve k*l + 0 = 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 7*n + 1. Let t be m(-4). Suppose -u - 64 = -4*u - 5*k, 4*u - 77 = -5*k. Let g = u + t. Solve -7*f = -g*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 26. Suppose 0 = c*h - 12. Suppose 0*x - d + 1015 = 4*x, h*d = -5*x + 1255. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, z: 3, g: 2, r: 3, o: 1, n: 2}. Give prob of picking 1 g and 3 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152643 is divided by 778?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 305 + -221. Let i be -2 - -2 - w\/343. Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d + 57. Let q(m) = m + 28. Give -2*l(o) + 5*q(o).\nAnswer: -o + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15, 36, 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(612)*3*-1)**2 + (sqrt(612) - (0 + sqrt(612))**2)*-1).\nAnswer: -24*sqrt(17) + 24480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4368497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 5*g**2 + 3*g + 7. Let n be y(5). Calculate the remainder when 95 is divided by n\/1 + 22\/11.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111100100101010 (base 2) to base 6.\nAnswer: 2434414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3609692 millimeters in meters?\nAnswer: 0.0003609692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 22561.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, p: 1, t: 14}. Give prob of picking 1 r, 1 p, and 2 t.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 5*i**2 - 5*i - 5. Let d be p(-5). Solve -d*z + 7*z + 26 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + (-14)\/(-8))*(-40)\/45?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**3 - 10*v**2 - 2*v + 7. Let f be i(-3). Let t(g) = 1 + 4*g**2 - 5*g + 4 - 5. Is t(f) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**4\/3 + 117676*w**3\/3 + 767091000*w**2 + 14826389055764*w\/3 - 2571956039614442\/3 = 0.\nAnswer: -19669, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 123514 (base 8) to base 16\nAnswer: a74c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 21*l**2. Let y(r) = -4*r + 3. Let u be y(1). Is 7 a factor of g(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1290 - 692*g**3 + 2576 - 1287)*(g - 3*g + 3*g)*(1 + 0 + 0) to u + k*g**2 + h*g + q*g**3 + j*g**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 68 - (7 + (12 - (14 + -15)) - 19)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 512587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 39*g**2 - 370*g - 390. Let b(r) = 2*r - 2. Let l(k) = 5*b(k) + s(k). Factor l(c).\nAnswer: -(c - 20)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 430 and 425 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -24\/679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60390*m + 4644 = 60261*m for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7418*f + 2388589. Calculate x(322).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2345*d - 46.\nAnswer: -2345","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 104148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20007373 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j + 25*j = -5*m - 190, 0 = -j - 5*m + 20. What is the remainder when 766 is divided by j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -229*u**2 - 10*u - 697*u**2 + 10*u + 5*u**2 + 2*u - 2*u + (2*u + 2*u - 2*u)*(-2*u + 2 - 2).\nAnswer: -925*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25706836 greater than or equal to 25706835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -100002121022 (base 3) in base 8?\nAnswer: -535545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + -10 + 3 + (5 - (-434)\/133). Is m at most -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 409501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32264 - 32262. Sort y, -2\/5, -15\/11, -5, 2\/3 in descending order.\nAnswer: y, 2\/3, -2\/5, -15\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1106\/3 + -3353\/9. Let o = -137990\/39 + 3537. What is the common denominator of o and j?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104*d**2*h*z + 46*d**2*h - 4*d**2 - 21*d*h*z + 601*d - 11*h wrt d.\nAnswer: 208*h*z + 92*h - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**4\/12 + 41080*s. Let v = 3 - 0. Let a(n) = -v + 3 + 17*n**2. Give a(b(z)).\nAnswer: 17*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4239.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 9*l**2 - 20*l - 26. What is p(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 982332696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = t - 26. Suppose 0 = -2*y + t - 21. Let n = -1.3 - -2.3. Which is the nearest to n? (a) -5 (b) y (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 - 105. Let q = -35 - g. Let c(a) = q*a**2 - 3*a**2 - 12*a**2. Let k(v) = 6*v. Give c(k(t)).\nAnswer: -324*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1523379 and 16907.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 9*h - 11. Let w be t(6). Let u = w + -5. Suppose -5*f = -u + 13. Solve 14 = 4*r + 5*k, f*r - 1 + 2 = 3*k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, i: 4, t: 1, n: 3}. What is prob of sequence iii?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/8)\/((-7)\/((-448)\/24)). Let y = 33 + -23. Let i be 2\/((-4)\/y) + 2. Put h, i, 4 in increasing order.\nAnswer: i, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 93 - (8259 - 8447)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, k: 1, t: 5, m: 11}. What is prob of picking 2 w, 1 t, and 1 k?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 64855?\nAnswer: 713405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-464)\/(-12))\/(-4)*-9. Let y = -85 + d. Find the third derivative of 9*l**4 + y*l**3 - 2*l**2 - 9*l - 20*l**4 + 0*l**3 wrt l.\nAnswer: -264*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2004 + -1995. Solve 2*r - 1 - b = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1512 and 1586760?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 575 in increasing order.\nAnswer: -4, -2, 575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 1. Let o(v) = 8*v**2 - 2*v + 8. Determine 6*c(n) + o(n).\nAnswer: 2*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4) + (-110)\/(-40). Let o(k) = -1 + 6*k - 4*k + 0 - 1. What is o(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 4*g + 48112 = -2*c, 4*c - 38471 = -3*g. Suppose 10*d = c + 23180. Round d to the nearest 100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99180 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -t - 0*t. Let n(v) = v**3 + 3*v**2 - 5*v - 2. Let i be n(-3). Let f = i + t. What is the remainder when f is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 = 0, -3*v + 2*r = r - 11. Suppose 0 = t + 5*d - 91, -t = -v*t - 4*d + 152. Calculate the highest common factor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*k - k = 4522941, 2*k + 6030592 = -4*o. Let p = o - -467649. What is p rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 0*r**3 + 77\/4*r**4 + 8 + 10*r**5 + 3*r + 0*r**2. Find the third derivative of t(p) wrt p.\nAnswer: 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*l**2)*(25 + 5 + 57).\nAnswer: -174*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7165863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 3*b + 15. Let r(l) = l**2 + l - 5. Let p(m) = -k(m) - 3*r(m). Let a(z) = -25*z**2 - 6*z. Determine a(p(c)).\nAnswer: -100*c**4 + 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - -2 - -5 - ((-95 - -97) + (-2 - 0))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 589420 divided by 117884\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**6\/120 + q**5\/10 - q**4\/6 + 7*q**3\/6 - 128*q**2. Let s(y) = -y - 3. Let c be s(-8). What is r(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**3 - 10*b**2 - 8*b. Let x(r) = 7*r**2 + 2*r. Let k(n) = 3*n**2 + n. Let h(o) = -5*k(o) + 2*x(o). Determine -8*h(t) + z(t).\nAnswer: 2*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -w, 3*w - 15 = -2*j - j. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/21? (a) 18\/5 (b) 0.02 (c) 0.5 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4577, -4574, -4563, -4538, -4493, -4422?\nAnswer: -4319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -701.068 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 + 33*k**2 - 67*k + 949. Give m(16).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7602\/12 - (7 + 171\/(-18)) and 12.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2124, -2166, -2236, -2334?\n\"Answer: -14*y**2 - 2110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58 + -52604276.875.\nAnswer: -52604334.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104 + -103. What is the nearest to -11 in t, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -199\/56 + 25\/8. Let g = 0.32 - -0.08. What is the second smallest value in g, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c = 36*c - 1026. Suppose 17*r = c*r + 120. Put -5, -2, 5, r in descending order.\nAnswer: 5, -2, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/63*4\/(-4)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 3\/5, -9, 1, -4\/31 in decreasing order.\nAnswer: 1, 3\/5, -4\/31, -1\/4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -8 (b) 2\/147 (c) 4 (d) -317 (e) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, t: 5}. What is prob of picking 2 c?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 213392340*y**2 + 158563*y - 127 wrt y?\nAnswer: 426784680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1515010 > -1515003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 - 2*s**2 - 5*s + 1. Let a(l) be the second derivative of l**5\/20 - l**4\/12 - l**3\/3 - 4*l. Suppose -20*y - 4 = -18*y. What is y*j(w) + 5*a(w)?\nAnswer: w**3 - w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 5*d + 5*s + 35, -3*d = 2*s + 32. Let m(y) = y**3 + 10*y**2 + 2*y + 17. Let h be m(d). Put 5, h, 17 in descending order.\nAnswer: 17, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (43\/86)\/(9\/(-36))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525416960 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1 = -2*w. Let v be ((-2)\/(-8))\/(0 + w). Which is the closest to 2? (a) -4 (b) -3\/2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3170829485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/9)*p*p**(-5\/3)*p**(-2\/5)\/(p\/p**(-5)))\/(((p\/(p*p*p\/(p**1\/p*p)*p*p))\/p)**10\/(p**(-1\/5)\/(p*p\/(p*p\/p**2)*p))) assuming p is positive.\nAnswer: p**(1328\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1341954332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/3)*n)\/(n*n*n**24*n) assuming n is positive.\nAnswer: n**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3228.\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 20199*f**2 - 195*f - 30. Let b(t) = 10100*t**2 - 104*t - 16. Let r(w) = 15*b(w) - 8*x(w). Let j(l) = -l**2. Calculate r(j(d)).\nAnswer: -10092*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u + 6. Let s be f(9). Suppose -26 - s = -5*z. Differentiate z - 7*j - 2 - 2 wrt j.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 6*q**2 + 3*q - 5. Let x be t(-5). Let h be 68\/104 + (-24)\/48. Factor -4\/13*a**3 + h*a**x + 2\/13*a + 0 + 0*a**4 + 0*a**2.\nAnswer: 2*a*(a - 1)**2*(a + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-4)\/(20\/(-365)). Let o = 69 + x. Put 0, -1, o, 5 in ascending order.\nAnswer: o, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46443 (base 7) to base 10\nAnswer: 11889","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 7) + -8 + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -15*(24\/(-15))\/4. Which is the biggest value? (a) -1 (b) h (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 2*t + 36 = 0, -3*t + 671 = -i + 3*i - 0*i + 663 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.486352l?\nAnswer: 1486.352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.39289 to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28518, 112174, 250976, 444924?\n\"Answer: 27573*w**2 + 937*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 581.921nm in kilometers?\nAnswer: 0.000000000581921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -255.42 rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**2 - 21*l + 2. Let o be u(7). Find the third derivative of 9*c**2 + 11*c**o + 25*c**6 - 17*c**2 + 4*c**2 wrt c.\nAnswer: 3000*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/16*(-1740)\/1914.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.36.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from qippppbpiiii.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1068321?\nAnswer: 3, 53, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 4:41 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 0. Let x = 32 + v. Let a(o) = 3*o + 1. Calculate the least common multiple of a(x) and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-44)\/(-3)*38808\/1056. Calculate the greatest common divisor of 88 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvh when three letters picked without replacement from vhh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + r = 3*r - 7, -r = -d + 1. What is the remainder when 12 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5422 is divided by 61.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-21)*(-16009)\/(-12). Let o = 382 - k. What is the smallest value in o, 4\/7, 4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1\/79, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -100, -8\/3, 0.689?\nAnswer: 0.689","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/8772 or 0.384?\nAnswer: 0.384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 40, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2757 + -111a?\nAnswer: 163a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 343.20146 rounded to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2)*(31 - -31779). Let s = h + 26358. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28596884?\nAnswer: 2, 7149221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(80)*-1*-6*-5*-3)**2 + 2.\nAnswer: 2592002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7822?\nAnswer: 2, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/1695 and -7\/15.\nAnswer: 1695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10136 - -8682. Put x, 0.1, -5 in descending order.\nAnswer: 0.1, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s. Let x(c) be the third derivative of 17*c**7\/1260 + 17*c**4\/6 + 135*c**2. Let m(d) be the second derivative of x(d). Calculate t(m(j)).\nAnswer: -68*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4772, 9530, 14274, 19004, 23720, 28422?\n\"Answer: -7*p**2 + 4779*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**6\/144 - w**5\/20 + w**4\/12 + 5*w. Let b(u) be the third derivative of l(u). Differentiate b(p) with respect to p.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*z + 45. Suppose 0 = -b + 1 - z. What is the units digit of 21\/4 - (-2)\/b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 9 = q, b - 3*b = q + 10. Let v(o) = -2*o + 4. What is the smallest common multiple of v(q) and 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*j = -16. Suppose -l + 219 = -j. Let b = l - 116. Calculate the remainder when b is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**3\/4 - 3*s**2 - 12*s - 5. Factor i(h).\nAnswer: -3*(h + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 5*l - 682*y + 685*y, 4*l + 2*y - 2 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + d + 52 = -3*s, 30 = 3*d - 3*s. Calculate the remainder when 31 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-28)*-2 - (-14)\/4. Is (1639*r - -1)*(-19)\/(-38) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 + 45. Suppose 38991 = -2*s - 5*a, 3*s + c*a = -48711 - 9772. Let u = s + 10493. Round u to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343619 is divided by 498?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/130 + -1\/13. Sort 0.4, -6\/67, o in decreasing order.\nAnswer: 0.4, -6\/67, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**3\/3 - 7*i**2\/2 + 5*i + 21. What is h(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-24))\/((-1)\/(-3)). Let m be f + -6 + 2 + (-2)\/2. Put 5, m, -13, 1 in decreasing order.\nAnswer: 5, 1, m, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 3*g**2 - 2. Let d be q(2). Suppose 79 = 5*o + 9. Suppose m = 3*l, -m - d*m - 5*l = -o. Solve 3*p - m*t - 5 = -2*t, -4*t + 16 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = k - 76 - 63, 0 = -5*t - 3*k + 165. Let m be 2\/9 - (-208)\/t. Solve n - 3*s - 4 = 0, m*s - 4 = -n + s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -401*x. Let y(q) = 18467*q. What is y(z(s))?\nAnswer: -7405267*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.08 - -0.22. Let w = -0.2 - -0.2. Let h be (30 - 33)*(-1)\/(-4). Put u, w, h in decreasing order.\nAnswer: u, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 230480389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-1 - -10 - 0) - (-7374 + 7375)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 138601958 a multiple of 3427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 - 670785*z**2 + 1341561*z - 670779.\nAnswer: 3*(z - 223593)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.4830612 to 3 dps.\nAnswer: 6.483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d + 18. Let i(g) = -5*g - 15. Let p(x) = 5*h(x) + 6*i(x). Let w(y) be the second derivative of -7*y**3\/6 + 200*y. Give p(w(s)).\nAnswer: 105*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1546.7079s?\nAnswer: 25.778465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xyyxyx. Give prob of picking 2 x and 1 y.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 8*v. Suppose 0 = -x - 2*x - 21. Let d be w(x). Suppose -5*g + d = -3. What is the remainder when 4 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 9:18 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sas when three letters picked without replacement from {z: 3, y: 4, p: 1, i: 1, a: 1, s: 2}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -7. Suppose -i - 17 = -2*q. Suppose 17 = x - 3*n, 2*n + 0*n = -8. Calculate the remainder when q is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 + 2. Let k = -31 - p. Suppose -5*r - 7 = -k. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -208. Suppose 133 = 5*a - p. What is the tens digit of 0 + -4 + -4 + a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 - 80*p - 257. Give c(-36).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/10)\/((-3)\/10). Let d = v + 2. Let a(c) = 1 - 2 - 3*c**3 - 3*c**2 + 2*c**3. Calculate a(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27930 is divided by 976.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1220661.\nAnswer: 3, 13, 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = h - 15. Suppose -2*f + 3*a = -0*f - 35, -f - 4*a - 10 = 0. Let z be ((-2)\/5)\/(f\/(-25)). Sort z, h, 5 in descending order.\nAnswer: 5, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153\/(-85)*12\/(-90)*125.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -191 from 0.13376383.\nAnswer: 191.13376383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 195\/12 + 2\/(-8). What is the greatest common factor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z**4 - 38*z**2 + 38*z**2 + (-4*z + 1 - 1)*(-3*z**3 + z - z) - 2*z**4 + 8*z**4 - z**4 in the form y + w*z + k*z**4 + n*z**2 + l*z**3 and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1405, 1395, 1371, 1327, 1257, 1155?\n\"Answer: -v**3 - v**2 + 1407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 26. Let l be (1\/2)\/(g\/(-8)). Let t = -24564 - -24565. Do l and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i**3 - 4*i - i - 4 + i**3 - 4*i**2 + 4*i**3. What is o(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + y + 2. Let z(c) = 4*c**2 + 8*c + 10. Let h(q) = -2*i(q) + z(q). Let t = 10 + -14. Give h(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*j - 34*j = 1334. Let f(u) = -u**3 - 7*u**2 - 6*u + 4. Let b be f(-6). Suppose -35 = -o - b*o. Calculate the remainder when j is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 4:14 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-2 + 6\/4). Suppose -4*m - 12 = 0, m = -j*y - 2*m - 135200009. Round y to the nearest one million.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v = -l - 85, -4*v + 96 = -2*l + 54 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 13815*f - 13814.\nAnswer: -(f + 1)*(f + 13814)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, m: 4, h: 8}. What is prob of picking 4 h?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**3 + y**2 + y. Suppose -4*r = -5*r + 2. Suppose w + 2 = r*w. Suppose x - 1 = -w. Calculate t(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2645*a. Let t(b) = -3*b**2 + 405*b. What is w(t(d))?\nAnswer: 7935*d**2 - 1071225*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5\/6 - 8*i**4\/3 - 3*i**3 + 8*i**2\/3 + 17*i\/6 = 0. What is i?\nAnswer: -1, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.6, 0.9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000020793 to seven dps.\nAnswer: 0.0000208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 7:18 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 2 - (-3 - 4). Suppose k*d - c = 24, 0 = 3*d - 0*d - c - 19. Find the second derivative of 9*r**d - 4*r - 6*r**5 - 2 + 2 wrt r.\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxrxxjjxu. What is prob of picking 2 x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 10*w + 3 - 3.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-2)\/7 - (-5848)\/1309)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/881991 and 81\/44.\nAnswer: 3527964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 635, 1268, 1901?\nAnswer: 2534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-2)\/42 - ((-6815)\/630)\/(-47)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*l = -365 + 17 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 44*u - 250. Determine b(-35).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 853, 547, 31, -695, -1631, -2777, -4133?\n\"Answer: -105*n**2 + 9*n + 949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-156)\/4680)\/(18\/(-900)))\/((-10)\/(-516)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 5:09 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(440)*-4)\/sqrt(10) + sqrt(44) - sqrt(264)\/(sqrt(6) - (sqrt(6) - sqrt(42)\/sqrt(7))))\/(-1*sqrt(36) + sqrt(512)\/sqrt(2)))**2.\nAnswer: 176\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5781 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -267, -125, 4 in decreasing order.\nAnswer: 5, 4, -125, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*c + c**2 + 54*c - 11*c + 11 - 11.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 489938.6 years in millennia?\nAnswer: 489.9386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1324569289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.09.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 22. Let p be y(17). Suppose p*i = -0*i. Suppose 4*w = -o + 1128 + 64, i = 3*o + 12. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 743 in increasing order.\nAnswer: -5, -2, 743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2562*q + 1277. Is u(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4590\/(-1550) + 3 - 31\/155.\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from {b: 1, w: 1, f: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 31, 44, 73, 124, 203, 316?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 551, 547, 545, 545, 547, 551, 557?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 151193008 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 1)*(3122*a - 210*a**2 - 3122*a) - 4*a**2 - 3*a**2 + 5*a**2.\nAnswer: -632*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 2 + -9 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452 = 12*g + 1868. Let s = 830\/7 + g. Which is the nearest to -2\/71? (a) s (b) 0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3201 times 17\nAnswer: -54417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-4))\/(1\/(-8)). Let n = 158 + -150. Calculate the greatest common factor of z and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/4626 and 47\/5140?\nAnswer: 46260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301987?\nAnswer: 7, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51050\/9 + -102073\/18. Let u*n**5 + 0*n + 3\/2*n**4 + 0 - 3\/2*n**2 - 3\/2*n**3 = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 439854 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359822046?\nAnswer: 2, 3, 59970341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-68)\/51)\/(2\/(-60)). Let m = s + -45. Let o(b) = b**3 + 3*b**2 - 7*b. Give o(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j**5 - 180*j**4 - 168*j**3 + 404*j**2 - 30*j = 0. Calculate j.\nAnswer: -5, -3, 0, 1\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19904466 and 6?\nAnswer: 19904466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 21\/274 (c) -6 (d) 230\/7 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.599? (a) 3 (b) -0.4 (c) 32 (d) 4\/7 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162197477.\nAnswer: 3, 7, 67, 30593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9113774 to the power of 1\/3, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 393600?\nAnswer: 393600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a**2*u**2 - 14*a*u**2 - u**2 + 167 wrt a.\nAnswer: 8*a*u**2 - 14*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(36\/20) + 0 + 1. Suppose -t*q - 615 = -9*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -2132563?\nAnswer: -2132560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.2 and -9856.\nAnswer: -9854.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3\/4, 85, 97002, -0.4, -2\/11, -5?\nAnswer: 97002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54.98 - 54. Let c = l + 0.02. Which is bigger: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165684 divided by 82842.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -5*n**2\/2 - 1. Let f(m) = -262 + m**2 + 262. What is l(f(o))?\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 0 + 1\/4*q**2 + 29\/2*q = 0.\nAnswer: -58, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98165 by 19633.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/4368*9)\/(-4*(-1)\/16)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1832 divided by 2?\nAnswer: -916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**6\/360 + 23*c**5\/90 - 649*c**4\/72 + 484*c**3\/3 + 2051*c**2. Suppose w(k) = 0. Calculate k.\nAnswer: 11, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*y - 26*y - 6 + 6. Factor 2\/19*j**2 - 2\/19*j**3 + 0*j + 2\/19*j**5 - 2\/19*j**4 + y.\nAnswer: 2*j**2*(j - 1)**2*(j + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 - 4*o - 12. Give a(3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -32*u + 362. Let h be r(6). Is h < 168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 70*h**2 + h. Suppose 0 = 37*i - 5435 - 5850 + 1147. What is the remainder when i is divided by q(-1)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 9 (b) -3 (c) -1\/3 (d) 2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(320)*3)**2 + 4*sqrt(55)\/sqrt(99) + 5.\nAnswer: 4*sqrt(5)\/3 + 103685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*o**2*r*z + 1877*o**2*r - o**2 - 8*o*r + 11598*z wrt z?\nAnswer: -2*o**2*r + 11598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 5*p + 6. Let i be j(6). Suppose i = 4*s - s. Suppose v - 1 = b, -2*b + s = -3*v + 4. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/(-4)*80\/(-200)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 14. Let u(l) = -l - 5. Let p be u(c). Is -2\/9 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i. Let d(t) = -t. Suppose 0 = -z - 3. Let h(n) = z*w(n) - 4*d(n). Let b(k) = 3*k. Calculate b(h(a)).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 1\/16*g**4 + 2*g + 3\/80*g**5 + 0 + 0*g**2 + 1\/120*g**6 + 1\/24*g**3. Factor u(j).\nAnswer: j*(j + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10375.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 + 6*v**2 - 17*v + 22. Let z be j(-5). What is the nearest to 1 in z, 0, 12, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5229 and 147?\nAnswer: 36603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 17*q + 30. Suppose 0*x = -3*x + 54. What is the smallest common multiple of h(x) and 44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 1. Suppose 0 = -4*p + 33 - 1. Suppose w + w = p. Suppose 22 = 5*m + w*h, -4*m - 3*h + 7*h = -32. Let a(u) = -8*u + 5. Give m*i(o) + a(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2 + 705702*g + 124503828201 = 0.\nAnswer: -352851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -270 (base 9) to base 15\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 58 = 3*j - 10, -3*j = q - 12. Let t be (-2)\/4*0\/(-2). Solve t = -3*d + 3 - q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1074844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 7*i**4\/12 + i**2. Let x(q) = -8*q + 198. Let t(k) = -2*k + 44. Let h(w) = 9*t(w) - 2*x(w). Calculate h(c(v)).\nAnswer: -28*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, r: 2, s: 1, w: 11}. What is prob of picking 2 w and 1 p?\nAnswer: 275\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 2, 1, 1.17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*n = 41, -2*h + 3*n - n = -18. Let v = -2 + h. Calculate the remainder when 16 is divided by 1 - -1*10 - v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iejiiiooieiiziiie. What is prob of picking 1 j and 1 i?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5005 = -3265*u + 3276*u. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 10, 7*m = 12*m + a - 92. Let x be (-202)\/(-4) + (-9 - -6). Factor -63\/2*c**3 - m*c + 2 + x*c**2.\nAnswer: -(c - 1)*(7*c - 2)*(9*c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5120, -5058, -4894, -4580, -4068, -3310, -2258?\nAnswer: -864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.336307.\nAnswer: -0.1008921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -0.1 (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 31*((-4)\/14 - 9\/(-7)). Suppose 16569 - 2774 = b*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -31*k**2 + 68*k**2 - 35*k**2 - 4*k + 2*k. Determine g(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*o + 439*o - 217*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 152 - a54?\nAnswer: -902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 2*k - 10, -4*k + 20 = 1388021*l - 1388020*l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -3, -7, 11, 5, -769 in descending order.\nAnswer: 11, 5, 4, 1, -3, -7, -769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 + -62. Sort -9, 5, -3, s in decreasing order.\nAnswer: 5, -3, s, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/4)\/(-2))\/(10\/(-6))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from bbbxxxx.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 8*y + 126. Calculate n(10).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*y + 40*y - 15*y. Which is the nearest to -2? (a) y (b) 0.5 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 108. Give z(-21).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 243093?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t - 105 = 34*t + d, 560*t = 2*d - 15126 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1170607140?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m - 5*m - 12*m - 37*m.\nAnswer: -39*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119864 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 10*k**3 - 8*k**2 + 80*k - 135. Determine a(4).\nAnswer: 697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/x**(-1\/3)*x*x)\/x*x*(x**6*x)\/x)\/(x**(-2\/13)*x**1\/x))\/(((x*x**(-2\/7)\/x)\/(x**5*x))\/(x**(-5)*x*x**(-7))) assuming x is positive.\nAnswer: x**(1576\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + 5*sqrt(7) + sqrt(7))**2.\nAnswer: -36*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257 = 20*f - 257. Suppose 0 = -0*j + 4*j. Suppose j = -a + 3*a - 6. Solve -a*i + 5*i = f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 149*t - 167. Give p(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, c: 15}. Give prob of picking 1 s and 2 c.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j**2 - 63*j - 31. What is p(13)?\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (665\/14)\/19*(-2)\/(-30). Factor q*y - 1\/6*y**3 + 0 + 0*y**2.\nAnswer: -y*(y - 1)*(y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 4*o**2 + 3*o + 41. Calculate c(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.907113232 rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/32)\/(a**(-3\/4)*a)*a**8\/a**(-4\/7) assuming a is positive.\nAnswer: a**(1871\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 773201044 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.762295587 + 14?\nAnswer: 23.762295587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, p: 2, r: 3, g: 4, t: 3, s: 4}. Give prob of sequence mprr.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, 451 in ascending order.\nAnswer: -10, -2, 451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iidiiiiidiididdiiii. Give prob of sequence iddd.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (8 - 12)*(-73 - 0) and (3*-2 - (-35 - -34)) + 13.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-87)\/(-12)*(-720 - -728).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 + 89*y - 3. Let d(q) = 2*q**2 + 59*q - 2. Give -7*d(x) + 5*u(x).\nAnswer: x**2 + 32*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23245?\nAnswer: 5, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 59992*h + 59996.\nAnswer: -4*(h - 1)*(h + 14999)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 229285687 to the power of 1\/2, to the nearest integer?\nAnswer: 15142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**2. Let b = -5 - -7. Let p(a) = a + b*a**2 - a. What is p(x(k))?\nAnswer: 18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*u - 15 = 0. Suppose 4 - 29 = 5*x. Put -4, x, u in ascending order.\nAnswer: x, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(4\/3)*t))**28*t**30*((t**(-19\/2)*t)\/t)\/t*t assuming t is positive.\nAnswer: t**(-101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*25\/15*8\/(-32)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -8 + 10*v - 5*v + 0*v. Does 16 divide s(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*0\/(-158)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -5638160?\nAnswer: 5638155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 - -86. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13711943 is divided by 2285323?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 10:02 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2730, 2729, 2726, 2721, 2714, 2705?\n\"Answer: -m**2 + 2*m + 2729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 1\/6*s**3 + 0 - 6*s + 0*s**2. Let w(f) = 107*f. What is w(h(n))?\nAnswer: 107*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 604*u + 2. Let s be o(-5). Let x = s + 30237\/10. What is the common denominator of -7 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.6 + 7. Which is the closest to 1? (a) d (b) 5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3558*w**2 + 5*w - w**3 + 3558*w**2 - 5*w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n - 15. Let b be q(-24). Let v(c) = -10*c + 94. Let h be v(b). Let k(f) = -f**3 + 4*f**2 + f + 1. Determine k(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*m + 15*m + 23 - 3. Sort m, 0.2, -3\/4 in decreasing order.\nAnswer: m, 0.2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, g: 3, c: 1}. What is prob of sequence cee?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**6\/3 - 4*d**2 + 8*d. What is the derivative of l(r) wrt r?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*m + 2*y, 2*m = y. Suppose -10 = -2*s - m*s. Let l = 5 - s. Which is greater: -1\/4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*i + 3 + (4 - 3 - 2)*(-i - 1 + 1) + 0 + 0 - 7*i + 2 - 2*i - 2 + (-78 - 264 + 114)*(3 - 2 + 0)*(5*i - 2*i - 4*i).\nAnswer: 218*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 10*p + 46. Calculate m(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1089 and 429?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8*y**3 + 4*y**2 + 4*y + 12. Let k be o(-9). Let j = k + 182573\/33. Let w = j - 2\/11. Put w, -1\/3, 0 in descending order.\nAnswer: w, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010111000010001000 (base 2) in base 12?\nAnswer: 4714b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1684 is divided by 834.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 35 - (-3 - (-10 - -4))*(5 + -6). Solve -n + 30 = x - 4*u, u - 2 = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 4*b - 2*m - 64, -m = 0. Let r(n) = n**2 + 15*n + 16. What are the prime factors of r(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/31970 and -31\/191820?\nAnswer: 191820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -76*b**3 - 8*b**2 + 19833*b + 35749392 wrt b?\nAnswer: -228*b**2 - 16*b + 19833","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -123*k**3 - 494*k**2 + 2575*k + 42.\nAnswer: -(k - 3)*(k + 7)*(123*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (468\/(-130))\/(18\/(-200))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, l: 9}. What is prob of picking 2 l and 2 z?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - b + 34 + 4*b.\nAnswer: 7*b + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*x - l - 22, -4*x - 13 = -5*l. Let r(g) be the second derivative of -g + 0 + 0*g**x + 0*g**2 - 1\/30*g**4. Factor r(m).\nAnswer: -2*m**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*r - 169 - 72 = -6. Calculate the highest common factor of 145 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.9 + 21. Let q = j - 1.068. Let g = 0.0319969 - q. What is g rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**5\/9 + 4849*l**4\/3 - 17656394*l**3\/3 + 475239962*l**2\/9 + 369815221*l\/3 + 64580219 = 0.\nAnswer: -1, 11, 7269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 219 and 365.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15401209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -18. Suppose u*p = 4*p - 8. Let g(c) = 20*c**2 + c - 1. Is g(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 641327063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/243, -2, -0.5, 548.1 in decreasing order.\nAnswer: 548.1, -2\/243, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzlllzlhzhzhhhh. What is prob of picking 1 z and 3 h?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 303060 to the nearest ten thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*o**3*t**3 - 7*o*t**3 - 150*t**3 wrt o?\nAnswer: -54*o**2*t**3 - 7*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**4 + 730 - h - 1818 + 729 to the form b*h + x*h**4 + r*h**3 + c + p*h**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 24*v**2 - 119*v + 188. Calculate g(28).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a millennium in centuries?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 - 44.15. What is k rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/210 and 50\/480 - (-8)\/(-30)*-5.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q + 4. Let l be k(-6). Let p be (-1)\/1 - (0 - 1)*11. Suppose 4*b - 2*z - 4 + 14 = 0, -3*b - p = -2*z. Solve b = -5*o + 9 + l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1 + sqrt(128))**2 + sqrt(128) + 0 - (1 + (sqrt(128) + -1 + sqrt(128) + sqrt(128))**2 + -3)) + -1.\nAnswer: -1028 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -647 + 652. Solve 3*s = 4*p + 21, 2*p - 3 = -c*s + 2*s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*q - 2*q. Let u be ((-2)\/(-1))\/(q\/(-332)) - 3. What is the highest common divisor of u and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49877*r**5 + 2*r**4*w + r**2*w - 25258*r**2 wrt r?\nAnswer: -2992620*r**2 + 48*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12517 + 253?\nAnswer: -12244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -4 - (4 - -1 - (-30 - -32))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28*(-2)\/(8\/(-10)). Suppose m + h = 6*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -4. Let q = j + 3. Let c = -6 + q. What is the second smallest value in 0, c, 3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 - -122. Suppose -7*s + 14*s = 21. Suppose 3*q = -p + 5*p + 73, -s*q = 2*p - 49. What is the remainder when o is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2. Let z(n) = n + 1. Let m(g) = g**2 + 11*g + 25. Let x be m(-8). Let s(r) = -r + 5. Let o(t) = x*s(t) - 5*z(t). Give q(o(l)).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15468 + -17830. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(208)*2 - sqrt(208))**2 + (-2*sqrt(208))**2 + -5 - (6*(sqrt(104) - sqrt(26)))\/(4*(sqrt(2) + sqrt(8)\/sqrt(4)))) + -1.\nAnswer: -3*sqrt(13)\/4 + 17674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21252 and 924?\nAnswer: 21252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n**2 - 24 + 9*n**2 + 25*n**2.\nAnswer: 45*n**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6*x = 8. Suppose 3 - 5 = x*f. What is the least common multiple of 1 + 1 - 6\/f and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -12. Let j(c) = 17*c**2 + 39*c + 135. What is the remainder when j(-4) is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.2587645 + 0.411?\nAnswer: 53.6697645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 545000 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -1 (c) -109 (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -3*g - 4, 3*d - 8 = -2*g + 3*g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24389279?\nAnswer: 211, 115589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7*516\/21 - 18 and 210?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from klpkpfyldpkylddp.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/56 and -127\/67550.\nAnswer: 270200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -16, 524, 6.\nAnswer: -16, 6, 44, 524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 23*m**2 - 23*m - 15. Let j be o(-22). Solve -j*r + 20 = -2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -587409\/50 - -11747. Let r = x + 187\/25. Find the common denominator of -61\/292 and r.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = -0*i + 48. Find the common denominator of (i\/(-9)*(-4806)\/168)\/(-3) and 5\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**3 + 5*d**3 - 57758 + 0*d**3 + 57758.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5*d\/d**(7\/6))**26 assuming d is positive.\nAnswer: d**(377\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 283 - -126. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1118*f**2 + 2*f - 4. What are the prime factors of z(-2)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.2, -3\/461, 0 in increasing order.\nAnswer: -3\/461, 0, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 261885372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 707949568 divided by 4.\nAnswer: 176987392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-2 + (2 - 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-19)\/(-4) - (-21)\/84. Suppose -w*n - 281 = -d, d + n - 99 - 158 = 0. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4371?\nAnswer: 3, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + 235\/(-2733)*-57. Let d = k - -121053\/91100. What is the common denominator of d and -47\/30?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001011000 (base 2) in base 7?\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 4:45 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -59 and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6 = -2*z. Let b = -2 - z. Let r(a) = -a - 9. Let c be r(b). Sort 0, c, 4 in descending order.\nAnswer: 4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 45\/(-18))*2\/(-2)*(-24)\/1410\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11389*l - 2*l**4 - 2*l**2 + 11392*l + 49 - 22779*l - l**3 to the form r*l**4 + v*l**3 + m*l**2 + w*l + x and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.6753954 - -2.67. What is x rounded to four dps?\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 9:36 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00098391 rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b + 1950 = 52*b. Calculate the remainder when 234 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 + 3*u - 14. Let l be w(6). Let c = l - -63. List the prime factors of c.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 215616169 * -0.1.\nAnswer: -21561616.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(162)*2*-1 + sqrt(162)))\/((3*(sqrt(36) - sqrt(36)*-2))\/(sqrt(324) + (sqrt(324) - -1*sqrt(324)))).\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p - 21*p + 40 = 4*q, -2*p - 6 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, w: 4, a: 1, m: 3}. Give prob of sequence mww.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15507091.3 rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*r - 5*z, 4*r - 22 = 2*r + 3*z. Suppose r*w + 4229 = -921. Round w to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*t = m - 13, -4*t - 36 = -4*m. Let g(r) = -r**2 + 38*r - 103. Let y be g(m). What is the greatest common factor of y and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -494*s - 3454. Determine x(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -35529403260 rounded to the nearest 1000000?\nAnswer: -35529000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o - 12. Let u be n(-5). Suppose u*f - 8*f - 420 = 0. Let j = f + 135. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**2\/2 - l + 6. Let k(m) = 16*m + 20. Let o(x) = -2*k(x) - 22*s(x). Is 8 a factor of o(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/4 + 153*d**2 + 72013*d\/4.\nAnswer: -d*(d - 713)*(d + 101)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 31602430?\nAnswer: -31602435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -5. Suppose 4*x = 5*c + h, 5*x - 3*x - 2*c = 6. Suppose 105 = x*r - 2*r. List the prime factors of r.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1376 + 1375. Let d be -1 + -5 + (m - -10). Factor 0 - 4\/11*w - 2\/11*w**2 + 2\/11*w**d.\nAnswer: 2*w*(w - 2)*(w + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459*s - 542*s + 34474 = -15576 for s.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24732 and 733944?\nAnswer: 1512658584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -230*u - 30386. Determine r(-132).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-240)\/100)\/(510\/3400)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 9. Let k = q + -4.9. Let h(o) = o + 4. Let u be h(-5). Which is the nearest to u? (a) -2\/5 (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -0.9, -0.05, -2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 14*c + 57. What is p(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 5*d + 7. Let i be b(5). Suppose -i*p + 635 = -2*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (-17 + -12 + -27)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -3*s - 2*v - 5, 2*s - 34 = -v. Calculate the remainder when s is divided by ((-12)\/(-24))\/((-1)\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3440371316.\nAnswer: 2, 79, 151, 72101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -1\/6*a**4 + 0*a + 2*a**2 - 1\/2*a**3 + 0. Differentiate o(q) with respect to q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**3 - b + 3. Let d be u(-3). Let y = d + 59. Calculate the remainder when 51 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -7*t + 6. Suppose 0 = 2*k - i - 28 - 27, -3*i - 81 = -t*k. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.306985 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 3*d + 11701, -d + 4466 = 3*m - 2553. Let o(z) = -m + 4*z**2 + z**2 + 2339. Let t(u) = -33*u. Determine o(t(k)).\nAnswer: 5445*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*b + 476 = -466 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3402 - 13733\/4. Let j = -31 - t. What is the closest to -1 in -3, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 + -55. Suppose h = -2*n - 4, -5*w + 49 = -3*n + n. Suppose 28 = -2*k + w*k. Solve 0 = -4*z - 4 - k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6867 - 6869. Which is bigger: j or -360?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mssmdssous. Give prob of picking 1 u, 1 d, 1 s, and 1 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -342377137145.3 + -91\nAnswer: -342377137236.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 82132.55 kilometers in centimeters?\nAnswer: 8213255000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.008? (a) -5 (b) 0.5 (c) 12.892\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1357 and 713?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*p - 10, 3*a + 2*a - 59 = p. Suppose 2*y + 3 = a. Suppose -8 = -y*c + 12. Solve c*r + 5 = 2*h - 6, -5*h = 3*r - 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s - 3*s**5)*(2 - 3 + 0) + 2*s**5 - 3*s**5 + 9*s**5 + s**3.\nAnswer: 11*s**5 + s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*y = -10. Suppose 4*p = 3*f + 13, 2*p = 3*f - 0*f + 5. Let -3*u**2 - 2 + 3*u**2 + u**y - 3*u**2 - p*u = 0. What is u?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 0 + 3 - v + 9. Suppose -4*p = -5*k + 98, -k - 3*p + 14 = -p. Let z = k + -13. Determine q(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = q + 5, -5*q = 5*l + 75. Let t be (-2 + (-12)\/(-4))\/((-5)\/30*2). Let n be (3\/(-12)*-1)\/(t\/l). Is 2\/33 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*v + 127*v - 116 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 11, -1, -2, 41 in increasing order.\nAnswer: -16, -2, -1, 11, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*o - 95, -74 = -4*m - 3*o + o. Let i = -13 + m. Suppose 3*d = 2*y + 9, -d + i = 5*y - 3*d. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/5*(-3)\/(-12)*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 - 69*p - 563. Calculate b(-20).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6.789322 weeks?\nAnswer: 68436.36576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1606840 and 75140?\nAnswer: 20888920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/25? (a) -0.16 (b) 0.4 (c) 5.5 (d) -0.1 (e) 2 (f) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -3*n - 1, -18*n + 17 = -9*n - 5*k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/88495 and -76\/619465.\nAnswer: 619465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 1 + 11 = 0. Let s(i) = 12*i + 1. Let q be s(u). Let c = -10 - q. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 23*w = 5*w + 158070. Calculate the greatest common factor of 15 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -3. Suppose 4 - 3 = 3*m + p, -2 = p. Let z = h + m. Calculate the remainder when z is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 2. Suppose 20 = 19*z - 23*z. What is l(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 3 = -4*c, -5*i + 2 = -c - 4*i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, 22\/7, -3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 3 - 3)*(-3*w + 6*w - 4*w)*(2*w - 4*w + w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.657701 rounded to three decimal places?\nAnswer: 3.658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2157618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350*b + 345*b + k + 15 = 0, -4*k = -3*b - 8. Solve -3*j - 15 = b*z, 7*z + j + 5 = 6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 2*n**3 + 8*n**2 - 5*n - 4. Is k(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 24 = 2*t. Suppose 0 = t*o + 1 - 409. Is 34 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 2899 = -f - 2906, -2*f + 3 = -w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-40) + 30\/8. Sort 8, -3, m, 2.\nAnswer: -3, 2, m, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**8\/28 - 17*s**4\/24 - 26*s**2. What is the second derivative of m(t) wrt t?\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112 + 112 - 56*b + (5 - 1 - 2)*(-2*b + 2*b - b))*(b - 5*b + 2*b) + (7*b + 11 - 6*b - 3)*(-3*b - b + 6*b).\nAnswer: 118*b**2 + 16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 11*a**2 - 61*a - 183. What is the remainder when h(22) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00016907104 to 5 dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1229 = 19*u - 12097. Calculate the least common multiple of u and 1118.\nAnswer: 24596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2000)*-2 - sqrt(140)\/(sqrt(49)\/sqrt(7))) + 4)**2.\nAnswer: -336*sqrt(5) + 8836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -17, -3909, 2\/7?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-8) + (-117)\/(-52). Suppose -d*b - 3 = -11. List the prime factors of (6\/b)\/(1\/26).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z**(-15\/8)\/z))\/z)**(3\/25)*z**(2\/21)*z*z*z**(-19) assuming z is positive.\nAnswer: z**(-69047\/4200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, b: 3, k: 3, e: 2, g: 4, l: 1}. What is prob of picking 1 b and 2 e?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 6. Let j(s) = -s - 7. Let n be j(-6). Which is the closest to n? (a) -2\/5 (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(5\/1))\/((-2)\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -3, 0, 1434, 80, -1.\nAnswer: -3, -1, -1\/4, 0, 80, 1434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h + 332. Let z(y) = 24555 - 24555 + 2*y**2. Calculate z(b(j)).\nAnswer: 18*j**2 + 3984*j + 220448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 38*z - 24. Give o(4).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c*j**3 + 2*c*j**2 + 32252948*c*j + 2*j**3 - 4197*j**2 wrt j?\nAnswer: 18*c*j + 4*c + 12*j - 8394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*z - h + 6, 4*h = 4. Let y be (2\/(-4))\/z*-38. Let c = -11 + y. Solve -c = 2*j + 2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 36?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u - 42. Let p(a) = 1. Suppose -4 = -2*f - 6. Let o(d) = f*h(d) + 9*p(d). What is the derivative of o(g) wrt g?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -14115454.2.\nAnswer: -14115449.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 q when four letters picked without replacement from rotrqqtoyeoyyyoyy?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 137222053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-2*sqrt(304) - sqrt(304)) + -5)*1 + (-1 + sqrt(304))*3 + 2 + sqrt(304)*-1 + -3)*6.\nAnswer: -96*sqrt(19) - 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 - 3)\/(2 - (-1 - -2)). Let z(f) be the second derivative of -f**2 - 1\/24*f**m + 1\/3*f**3 - 3*f + 0. Factor z(v).\nAnswer: -(v - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 462*c**4 + 2*c**3 + 103*c - 2. Let z(t) = -t**3 + 1. Let s(a) = u(a) + 2*z(a). What is the second derivative of s(y) wrt y?\nAnswer: 5544*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 2*r**2 + 5*r + 4. Let l be s(-3). Let y(t) = -t**2 - 22*t - 5. Let v be y(l). Solve -h - 2 = -u, 3*u + 2*u = -4*h - v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1351245?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/2383653 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 38*f - 13. Suppose 2*s + 8 = 0, 5*z + 3*s = -0*s + 73. Let r be d(z). Is -80 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/7 + 11 - 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -842 - -86. Let f be x\/49*7\/(-2). Let m = 12 - 6. What is the highest common factor of m and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65015.\nAnswer: 5, 13003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57699710 to the nearest integer?\nAnswer: 7596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.8146 to the nearest integer.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f*v*x**3 - f*v*x**2 + 5*f*v + 3*f*x**3 + 2*f*x - 2*f - 33*v - 195*x**2 wrt v.\nAnswer: -2*f*x**3 - f*x**2 + 5*f - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -c - 147, 5*c + 525 = s - 221. Let g = 165 + c. Suppose q + 0 - 17 = 0. Which is greater: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.424, 5.8, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-6)*(-6)\/2 - -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4a4d - 5?\nAnswer: -4a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*c + 77*c + 36*c - 1476. Suppose 524 = 4*a - 2*a. Calculate the remainder when a is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 - 13*a**3 - 14*a**2.\nAnswer: a**2*(a - 14)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(3\/4))\/a*a\/a**(8\/5)*(a*(a*(a*a\/(a**(2\/3)*a))\/a*a*a*a*a*a)\/a)\/a**8*((a\/a**(-4)*a)\/a*a\/(a*a**(-2\/13)))\/(a\/(a**2\/a))**(-30) assuming a is positive.\nAnswer: a**(887\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5*q + 85, 3*o - 214 = 5*q + 121. Let w be o\/(-14)*3*-2. What is the greatest common divisor of w and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 15*b - 213476456 + 213476456. Let y(w) = -w - 2. Let k(v) = -2*v - 5. Let d(f) = 2*k(f) - 5*y(f). Give l(d(t)).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -j, -3*m + 529*j - 526*j + 12 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 10:49 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/6*(-782)\/(-4). Calculate the remainder when (-3 + -5)\/(-2) + k + -2 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63113.05 rounded to the nearest one thousand?\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/2 + 265483*g**2 - 70491841409*g\/2 + 1409412087380.\nAnswer: -(g - 265463)**2*(g - 40)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 10*a**2 + 2*a - 19. Let m be h(9). Let x be m\/50 - 2*1. What is the closest to x in 0, 1, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4*f + 10 = 0, -f - 8 = l - 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, y: 1, k: 2, u: 10, i: 1}. What is prob of picking 2 u, 1 o, and 1 y?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 539 + 1285. What is the lowest common multiple of 10 and v?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x - 3. Let o be s(1). Let m be o - 3 - -7*6\/6. Suppose -m*k = -3*v - 384, 5*k + 0*k = -2*v + 675. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -202*x - 3 - 874810*x**2 + 0 + 874815*x**2 to the form i*x + h*x**2 + s and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 4882032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 18*x**2 - 4*x + 14. Determine h(18).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -130 - -11969\/92. Are r and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2511, -5004, -7483, -9942, -12375?\n\"Answer: g**3 + g**2 - 2503*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-390)\/312*40\/25?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1623612069 rounded to 2 decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 0.1, -0.1, 0.2.\nAnswer: -0.1, 0.07, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*o - 869 + 107 = 610 + 158 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**2 + 7*n - 17. Give c(-7).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 198\/44*16\/36*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.1 + 8. Let x = a + 0.2. Sort -0.2, -1\/9, x in decreasing order.\nAnswer: x, -1\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 55 + 225. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 4.3. Let z = 2.8 - 3.3. Let o = -0.4 - z. Sort -5, b, o in decreasing order.\nAnswer: o, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 6 = m, -k = -4*m - 0*k + 13. Suppose 2*g - 13 = -3*y + 118, 2*y - m*g - 96 = 0. What is the remainder when y is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133377494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -11 - 10) + -6 + -16 + -2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5602034 rounded to the nearest ten thousand?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -0.00706?\nAnswer: -0.02824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 457, 940, 1445, 1984, 2569?\n\"Answer: 2*k**3 - k**2 + 472*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159885615?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -174, -1021, -3316, -7785, -15154, -26149, -41496?\n\"Answer: -121*l**3 + 2*l**2 - 6*l - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 941*a + 1087. Let f be s(-8). Which is greater: -6442 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2289970 to the nearest ten thousand.\nAnswer: -2290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 470184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*((-27)\/(-2))\/27?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 115\/(-644)*7*(-6)\/10?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2482 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2334414 - 44?\nAnswer: 2334320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -4*s + f, 0 = -4*s - 5*f - 24 + 177. Is (12044\/(-10))\/(s\/(-80)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1823 (base 10) in base 3?\nAnswer: -2111112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + sqrt(5) + 0 + sqrt(40)\/(sqrt(8)*-2)))**2 + (sqrt(500)*2*1)**2*-3 + 0 + 2.\nAnswer: -5629 + 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373208 is divided by 9258.\nAnswer: 2888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*l + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4455745?\nAnswer: 5, 7, 61, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + 0 + 2*l**2 - 2 + 1 - 4*l**3 + l**4 in the form v*l**4 + j*l**2 + u*l**3 + x*l + f and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((14\/(-28))\/((-1)\/10))\/(-2)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 24 - 14 = 4*i, 6 = -3*m. Solve 2 = -3*h - i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5842)\/(-759) + 1 + -7 - 2. Is u > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 8:09 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -75410?\nAnswer: 4\/37705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1 = v, 2*v - 2 = -2*m - 4. Suppose -2*o + 10 = j, 16 = -2*o - m*o. Let w = j + 12. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -28. Suppose j = -3*i + 6*j - n, 0 = j - 4. Let q be ((-4)\/8)\/((-1)\/i). Is q greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -807653145 rounded to the nearest 1000000?\nAnswer: -808000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 129*y**3\/7 - 264*y**2\/7 - 375*y\/7 + 18\/7.\nAnswer: 3*(y - 3)*(y + 1)*(43*y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*n + 83 + 85 + 94 + 88 - 350.\nAnswer: -47*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5aa434 (base 11) to base 4\nAnswer: 3223231320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -13*p - 18 - 1\/2*p**2. Calculate v(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-744 - 2*b + 741 - b)*(3*b + 25 - 25 + (0*b + 5*b - 7*b)*(-6 + 4 + 0))*(b + 3*b - 2*b) as n*b**2 + j*b**3 + a*b + h and give n.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**3 + 6*u**3 + 3 + 3*u**2 - u + 0. Let r(l) = -2*l**3 - 4*l**2 + 2*l - 2. Let z(j) = -3*c(j) - 2*r(j). Is z(5) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 10*b**2 + 11*b + 4. Let d be o(-11). Solve -c + 4*g = -6*c + d, -3*g = c + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102 - -144. Calculate the lowest common multiple of r and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - w)*(60*w - 44*w - 67*w - 55*w) in the form u*w + b*w**2 + v and give b.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 22. Let b(v) be the second derivative of -v**4\/12 + 2*v**3\/3 + 11*v**2\/2 - 2*v + 33. Let h be b(6). Which is smaller: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccnyjzicj. Give prob of picking 1 n and 2 c.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -553*i**3 + 69 - 142 + 73.\nAnswer: -553*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -0.19\nAnswer: 0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 6:40 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -1)\/(2\/26). Let u = -31 - -19. Which is smaller: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 35?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -4, 66, 3, -3, 6 in increasing order.\nAnswer: -4, -3, 3, 6, 29, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 8 - 2)*(0 - 1 + 2)*(-17 + 145*w + 17) to the form f + n*w and give n.\nAnswer: 1450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 9 - 12. Let f = -0.5 - -1. Let o = 1.6 + -1.5. What is the second biggest value in o, f, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -3*i**7\/280 - i**5\/12 - 2*i**3 - 8*i**2. Let y(v) be the first derivative of x(v). Find the second derivative of y(h) wrt h.\nAnswer: -54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, 0.66, 3, 2\/13 in descending order.\nAnswer: 3, 2, 0.66, 2\/13, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.52 - -1.48. Let v = 5\/11 + 23\/22. Let w = 0 + 0. Which is the nearest to w? (a) 4 (b) v (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 4*p - 13, j + j - 3*p = 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -16*g - 17. Let y(i) = -9*i - 10. Let x(b) = -6*v(b) + 10*y(b). Let o = 11 + -15. Let u(h) = -5*h - 2. Calculate o*u(f) - 3*x(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in -2, -8, 1\/9, 3\/8, -60?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 34*m - 3790. Determine j(112).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 114716657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 146 + -142. Suppose p*s - 3208 = 3*t + 7219, 3*s = -4*t + 7839. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 10. Let o be b(6). Let a = o - -11. Let v = 20 - a. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 169. Calculate the greatest common divisor of 34 and a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/47706624 and -79\/18560.\nAnswer: 238533120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846062?\nAnswer: 2, 7, 223, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3032 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 + 1 + 11 + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 235 - 404. Let f = 166 + i. Suppose 3*x - 6 = 2*g, -2*x + 0*x = -3*g - 4. Sort -1, g, -2, f.\nAnswer: f, -2, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2505417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 38 - (1 + (-1)\/(-1)). Suppose -z = -12*f + 8*f. Suppose -3*h + f*h = 384. Calculate the highest common divisor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 2:30 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4 = 0, -3*v + 15 = a - 5*v. Let g = a + -17. Let r = -2 - g. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 1, x: 3}. What is prob of picking 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 37*k**2 - 36*k + 5. Let b be t(-36). Suppose 40 = 5*d - b*c, -4*c - 12 = -2*d + 3*d. Solve -o - 26 = 5*v, -o + 3*v = 2*v - d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 3*h + 12. Suppose 0 = -2*t - h*j + 39 - 13, -3*t = -3*j - 3. Suppose -v + 29 + 27 = t*u, u - 5 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716 a factor of 242282228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 i when three letters picked without replacement from {k: 1, y: 3, c: 1, q: 6, i: 4}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 101011010010000101001 (base 2) to base 12\nAnswer: 584921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*v + 2\/3*v**3 + 1280\/3 - 4*v**2.\nAnswer: 2*(v - 8)**2*(v + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20084 bigger than 20066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 6. Let y be i(-8). Let c(b) = -4*b**2 + 2*b - 1. Let w(j) = -j. Let l(s) = -c(s) - 3*w(s). Let a(t) = 13*t**2 + 3*t + 3. What is y*a(m) + 7*l(m)?\nAnswer: 2*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-4)\/36)\/((-4)\/3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(162))*4 + 2*(sqrt(162) - sqrt(162)*-3) + ((sqrt(162) - (sqrt(162) + 1 + sqrt(162) - sqrt(162))) + -2 - 2*sqrt(162)*-2) + -5)**2.\nAnswer: 41472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in hours?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(4 - 3)\/(-1). Is 477\/6 - b\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence un when two letters picked without replacement from nedndnninnjuunnjud?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 207*o**2 + 5224*o + 15181. Give m(230).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1\/2)*h**26)**(-2\/3))**(-1\/15) assuming h is positive.\nAnswer: h**(11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29391, 53811, 78231, 102651?\nAnswer: 127071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**3 - 1296*m**2 = 0.\nAnswer: -1296, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -446*s + 443*s - 24 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 329, 1292, 2889, 5114, 7961, 11424, 15497, 20174?\nAnswer: 25449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -161853, -323795, -485733, -647667, -809597, -971523?\n\"Answer: 2*l**2 - 161948*l + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 18 = -6*a. Let f(y) = 3*y**3 - 3*y**2 + 2*y - 4. Suppose -6*z = -3*z - 6. Let j be f(z). Solve -p - j = a*t, -5*t = p + p + 29 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 25510 and 165.4.\nAnswer: 25675.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16 or -30?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 347095\/(-2110) + 500\/4.\nAnswer: -79\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1079*y**4 - 2*y**2 + 2*y - 11412 wrt y?\nAnswer: 4316*y**3 - 4*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*q + 23*q + 12*q)*(3 + 4 - 5).\nAnswer: 52*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*(z*z\/(z\/(z\/z**(1\/6))))\/z)))**35\/(z\/z**20)**24 assuming z is positive.\nAnswer: z**(3121\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(17) + sqrt(612) + -2)**2 + 0 + (3 + sqrt(612) + -1 + sqrt(612) - sqrt(612))**2 + -5 + -4.\nAnswer: -4*sqrt(17) + 1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 696 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 482.0877ml to litres.\nAnswer: 0.4820877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -109*i**6 + 56*i**2 wrt i?\nAnswer: -13080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203 + 210 - 5*v**2 + 138 + 6*v**2 + 304.\nAnswer: v**2 + 449","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 286931, 573760, 860511, 1147184, 1433779, 1720296?\n\"Answer: -39*i**2 + 286946*i + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*o - 4192, -5*h - 573 = -5*o + 3617. Let u be (5\/(-10))\/(2\/o). Let x = u + 318. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2445 and ((-30)\/4 - (-58 + 56))*12\/(-22).\nAnswer: 2445","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f + 2. Calculate the lowest common multiple of o(4) and (2 - 5)*(-32)\/12.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 7 = -17. Suppose 7 = 4*s - l. Solve -s - 9 = 4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 489*i**3*o**4 - 222*i**3*o + 2*i*o**4 + o**2 + 2 wrt o.\nAnswer: 11736*i**3*o + 48*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 5*z**2 - 6*z - 2. Let l = 1141 - 1145. Let t(f) = 0 + 2*f**3 + 2 - f**3 + 5*f**2 + 3*f. Let w be t(l). Determine p(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8086.928 years?\nAnswer: 8.086928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4880 a factor of 689426880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 3)*(-5 + 5 + 4)*(0*k + k - 3*k) as l*k + t and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1446\/38 - (-7037)\/(-133703)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -25*v + 215. What is i(9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -442.916 + 444. Round i to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(2\/7)\/l))**(-9\/14)\/((l**3*l)\/(l\/l**(-2)))*(l**(-1))**(-3\/4)*(l\/(l**(-2\/3)*l*l))**(2\/5) assuming l is positive.\nAnswer: l**(-4367\/2940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 e when three letters picked without replacement from {e: 2, b: 18}?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.068742 + -5.\nAnswer: -34.068742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0005 and -365910703.\nAnswer: -365910703.0005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12395, -10388, -4913, 5764, 23377, 49660, 86347?\n\"Answer: 289*k**3 - 16*k - 12668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11226 - -11262. Calculate the remainder when 7126 is divided by v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 297 = 4*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -466 + 2*u**3 + 890 - 329*u**2 - 421 in the form x*u**2 + a*u**3 + d*u + t and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1008\/84 - 0*(-20)\/420.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -530 + -21. Let x = 556 + w. What is the smallest value in -1\/4, x, 4\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30063551.1 to the nearest one thousand.\nAnswer: -30064000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69795?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 - 98 + 276 - 90 + 98*w**3.\nAnswer: 98*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 259921395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.33, 0.1, 5, -0.3, 6, 3.\nAnswer: -0.33, -0.3, 0.1, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (10 + (-200)\/(-30) - 15)*1\/(-15)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, 13.2, -1, 4, -1244 in ascending order.\nAnswer: -1244, -1, 1.4, 4, 13.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2241480 divided by -280185\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 5*t**2 + 6*t - 1. Let p be ((-6)\/(-4))\/(2\/(-16)). Let s = -6 - p. What is u(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.223 + 0.2. Let w = -0.14 + f. What is w rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 5 + 1. Let c be 82\/12 + m\/12. Calculate the highest common factor of 77 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a - 1\/20*a**5 - a**2 + 11\/6*a**3 + 3\/4*a**4 + 0. Let j be u(10). Solve -j = -5*i + 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20458752.\nAnswer: 2, 3, 17, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1154 is divided by 61.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*j + 4 + 4 + 2.\nAnswer: 55*j + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m + 2*m - 4*m + (-2 + 1 + 0)*(m + 3 - 3))*(4 - 6 + 1).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 309161544 a multiple of 653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49 and 21.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 7:11 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -5\/253, 101090 in decreasing order.\nAnswer: 101090, 2\/7, -5\/253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3673.7054 rounded to the nearest one hundred?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1050 or -1032?\nAnswer: -1032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18, -2718, -187?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 330521 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 34*j - 37. Let g(w) be the third derivative of -23*w**4\/24 + 25*w**3\/6 - 46*w**2. Let q(a) = 8*g(a) + 5*o(a). What is the derivative of q(f) wrt f?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 9*v + 33. Let i be l(12). Let z be -18 + 13 - (-8 - i). Suppose -3*n - n - 20 = 0. Which is the nearest to -3? (a) n (b) z (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (275*j + 57 + 55 - 273*j)*(13 - 3 - 4).\nAnswer: 12*j + 672","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-9)\/(-2)*280\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1025270 and 39985530?\nAnswer: 39985530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 10:58 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06428 - 0.46428. Suppose -2*t - 5 = 3*n, -5*n + 2*t = t + 17. What is the third smallest value in n, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 610.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.87188 centimeters to micrometers.\nAnswer: 678718.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -433453839*m**3 + 272369741 with respect to m.\nAnswer: -1300361517*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 17. Suppose 0 = -h + 6*h - 20. Calculate the highest common factor of a and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/(-12))\/((-9)\/12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/k**(-2))*k*k**23*k*k*k**(-11)*k**(2\/25))**(1\/21) assuming k is positive.\nAnswer: k**(302\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + o**4 + (0*o + 3*o - o)*(2*o**3 + 4*o**3 - 5*o**3) + (-2*o**2 - o**2 + 0*o**2 + (-3 + 0 + 5)*(o**2 + o**2 + 0*o**2))*(26*o - 74 + 37 + 35 - o**2).\nAnswer: 2*o**4 + 26*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 868085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23202 - -14?\nAnswer: -23144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15808*x - 2150 = 16023*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -d + 136. Let k be (-6)\/9 - d\/(-24). What is the biggest value in 1\/4, -2\/17, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 6*f + 2*r, 30*r - 4 = 31*r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2521776*n**4 + 960619.\nAnswer: 10087104*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5521630 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 + 77. Let u(q) = -q**3 + 2*q**2 + q - 1. Let n be u(h). Is n >= 4\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -18392, -4, -57, 0.06?\nAnswer: -18392","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 3*q + 2*q. Let y = q - 8. Suppose w - y*w = -6. Solve -s + 21 = 5*g, -5*g = -0*s - w*s - 37 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -5*x**3\/3 - 1. Let f(p) = 3*p**2. Determine z(f(q)).\nAnswer: -45*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -18*k - 4 + 30*k - 20*k. Let g be q(-11). Let t be 4\/g + 2\/7. Put t, 2, 1\/2, 1 in decreasing order.\nAnswer: 2, 1, 1\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1419 or -267653?\nAnswer: -267653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 178985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16.1 and -5.\nAnswer: -80.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45648002?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -1555 - 2423. Let z = 15963\/8 - n. What is the common denominator of 5\/18 and z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 5*x**4 - 7*x**4 - 2*x**4 - x**3 + 10 + 2*x**2 to the form n*x**3 + k*x + r*x**4 + g + h*x**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q - 4*l + 7*l, 0 = 2*q - 4*l + 22. Sort -1, q, 0.042 in increasing order.\nAnswer: q, -1, 0.042","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i + 242. Let u be z(48). Let v = 106 + -106. Which is the second biggest value? (a) v (b) -15 (c) -0.5 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 28*i**2 - i + 17. Let x(p) = -83*p**2 + 3*p - 48. Give 2*x(g) + 7*z(g).\nAnswer: 30*g**2 - g + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24219467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3031 + -2155?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 5*y**2 - 2*y - 8. Let o be j(6). Let d be (-9 - -5)*(0 + -1 + -27). Calculate the highest common divisor of o and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*m + 260 = -1618 - 872 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2136106.5016 to the nearest 10.\nAnswer: -2136110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 212834371 to the nearest integer?\nAnswer: 14589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-19)\/57*(-132)\/(-8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 16684*s**2 - 132*s + 134. What is the tens digit of v(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(931)*3 - sqrt(931)) + 0 - sqrt(931) - sqrt(931))**2 + ((sqrt(304) + sqrt(19) + 5)*-1)**2.\nAnswer: 50*sqrt(19) + 505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 16*h**2 - h - 38. Let v be j(-16). Let d = v - -28. Let w(b) = 11*b - 3 - 12*b + d. What is w(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2096368 + -0.06\nAnswer: 2096367.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 + 133*y - 133*y + y**2 to the form k + w*y + b*y**2 and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(10)\/(sqrt(20)*6 - sqrt(5)).\nAnswer: -3 + sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - -2*sqrt(102))*-1 - (sqrt(102) - 1*sqrt(102)*3))\/(sqrt(18)\/(sqrt(3) + 4*sqrt(75))).\nAnswer: -21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7789.641 tonnes to milligrams.\nAnswer: 7789641000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 7*z = 2*z - 32, -4*d + 4*z + 96 = 0. What is the lowest common multiple of 304\/17 + (-316)\/(-2686) and d?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 8*s + 3. Suppose 8*a - 6*a - 16 = 0. Let u be o(a). Factor m + 137*m**4 + m**3 + m**2 + 0*m**u - 2*m**3 - 138*m**4.\nAnswer: -m*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/226 and -119\/550.\nAnswer: 62150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1442 in -4, 5, 91, 0.2?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 28*k + 211. Let z be t(-16). Solve 4*m - z*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90*6\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 13 = -z, 4*p = -p - 5*z - 15. Let t(k) = -3*k**2 - k + 3. Let x(b) = b**2 - 1. What is p*x(q) - t(q)?\nAnswer: -2*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1987 - -6?\nAnswer: 198d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + l + 6 = 0, -23*k - 3*l = -21*k + 8. What is c in 0 + 0*c**k - 1\/2*c + 1\/2*c**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*(sqrt(11) + -4 + sqrt(11) + -1 - (sqrt(11) - (sqrt(11) + sqrt(132)\/(sqrt(96)\/sqrt(8))))))**2.\nAnswer: -22320 + 5400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -41.\nAnswer: 11\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-33))\/(4\/((13376\/57)\/16)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 10 - 6 - 2*r + (-5 + 3 + 3)*(2*r - 2*r - r) as d + x*r and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2632836 divided by -906\nAnswer: 2906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 12 + 13 - 7 + 0 + 35*f. What is the hundreds digit of p(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 926\/5 (b) 0.115 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l. Let q(v) = -376*v**2 + 3*v + 2. Calculate q(n(f)).\nAnswer: -376*f**2 + 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5372 + 0?\nAnswer: 5372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (1\/(-2))\/((-6)\/(-72)). Solve 0 = -5*j + 4*x + 27, -f*x + 8*x = 2*j - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/4 - 35*k**2\/2 + 557*k\/4 - 122.\nAnswer: (k - 61)*(k - 8)*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - h = -4*h + 12, 0 = 2*n - 4*h + 4. Find the second derivative of 59*x - 9*x**n - 46*x**2 - 5*x**2 wrt x.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (128 - 402 - 466 + (-6 + 5 + 3)*(3 + 3 - 4))*(3*u**2 - 1 + 1).\nAnswer: -2208*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 1\/6, -1\/2, -4 in increasing order.\nAnswer: -25, -4, -1\/2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002962221759 to six decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1551 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 - 88 - 21 - 28 - 15*f**3.\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 4:21 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 310 and 26195.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-440)*36336\/22710?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59065432 by -7.\nAnswer: -59065432\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -m - 4*m + 2*m + (16 + 8 + 16 - 64)*(0*m + 0*m + m) as p + u*m and give u.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/s**(3\/5))))\/(s\/s**(-10))*((s\/((s*s**0)\/s))\/s*s*s*s)**(6\/5))**38 assuming s is positive.\nAnswer: s**(-266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(-2 + 2 + 3*w + (-3 - 3 + 2)*(2*w - 2*w + w) - 2*w - 3*w + 3*w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c + 7. Let i(d) = -4*d + 5. Let b(z) = 5*f(z) - 7*i(z). Let h(o) = -8*o - 8. Let r(k) = 1. Let m(g) = h(g) + 8*r(g). What is m(b(l))?\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -31*o + 46. Let y(u) = -u. What is v(y(p))?\nAnswer: 31*p + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 381632199?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -5 + -2 - -1) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 6 = -116*f + 117*f, -2*f + 2 = 2*j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20017 is divided by 488?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from cumcwwwmncmnunmmnww?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -622308511131?\nAnswer: 622308511135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1488)\/28*-1*(0 - -7)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 507 = -2*k + 5*k. Suppose 3*s - k - 17 = 0. Suppose s = -4*t + 6*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 - 107. Let o = u - -90. Is 20 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 350 + -355. Let o(v) = 2*v**3 + 8*v**2 - 16*v - 26. Let y be o(r). Solve 0 = s - y*j - 12, 3*s - j - 2 + 10 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -1, -14\/61, -4, -2 in ascending order.\nAnswer: -4, -2, -1, -14\/61, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/4 - 13\/6)*3. Let l be (h\/10)\/(2\/(-10) + 0). Suppose l*r + 5*j - 110 = 0, -4*j + 3*j - 122 = -4*r. What is the remainder when 118 is divided by r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 10*t - 1. Let u(y) = y**2 + 5*y. Determine 2*r(p) - 5*u(p).\nAnswer: -3*p**2 - 5*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(2\/5)*i)\/i*i)**(3\/11)*((i**(-1\/4)\/i*i)\/i)**(16\/3))**12 assuming i is positive.\nAnswer: i**(-3968\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 45\/2*104\/65. Suppose 0 = -2*m + w - 36. Solve m = -0*p + 4*p + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 398654611 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + (-41 - -32) - 26 - 27.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 346528 and 25480.\nAnswer: 1732640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2788*j - 5*q - 123 = -2789*j - 48, -5*j + 4*q + 44 = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**5\/30 - 2*m**4\/3 - 3*m**3 + 140*m**2. Let i be y(-6). Is i less than or equal to 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3530719570 to the nearest one million.\nAnswer: -3531000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8.2819 and -1.24952.\nAnswer: -9.53142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96\/13 - -698\/91. What is the closest to -2\/5 in -0.4, p, 2\/9, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*c + 37 - 55 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 248948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*z**4 - 392*z**3 + 480*z**2 - 248*z + 44 = 0 for z.\nAnswer: 11\/29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.1 (c) 4\/3 (d) -0.494 (e) 0.094\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*s**3 + 8*s**3 + 8*s**3.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.1 (c) 1\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 574909 = -4658*p + 300087 for p.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 239.61 + 2.39. Let t = -247 + l. Let j(i) = i**2 + 3*i - 2. Let o be j(-2). Sort -1\/5, t, o, 0.5.\nAnswer: t, o, -1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.44 * -3.\nAnswer: -10.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*g + 5*g - 530596*g**2 - 46*g.\nAnswer: -530596*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**3 + 3*g**2 - 3*g. Let b(n) = n**3 + n**2 - n. Let t(l) = -3*b(l) + d(l). Factor t(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2198*a**2 - a - 107. Determine o(0).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 53772391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**3 + 3 - 3 + (0*x + 3*x - 5*x)*(-3*x**2 + 5*x**2 - 3*x**2) + 5*x**3 - 4*x**3 + 0*x**3 + 11*x - 11*x + 18*x**3 - x**3 - 4*x**3 + 4*x**3 + 1.\nAnswer: 23*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 509 = -0*n. Let v = 12\/100057 - 457360655\/900513. Let d = v + n. Find the common denominator of 1 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l + 6 = 14*l. Let s(q) be the second derivative of -q**5\/20 - q**4\/12 + q**3\/3 + q**2 - 2*q. Calculate s(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**4 - m**3 - 2*m**2 - 5*m + 5. Let f(b) = b**4 + b**3 + b**2 + 3*b - 3. Let v(u) = -10*f(u) - 6*q(u). Factor v(n).\nAnswer: 2*n**2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/33 - (-22568)\/(-38874).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-691)\/9 - ((-94)\/(-18) - 5). Let w = 125 + x. Suppose 0 = -2*n + c + 45, -2*n = c - 3*c - w. Calculate the greatest common divisor of n and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(r**2 - r**2 + r**2) + 8*r**2 - 17 + 17 + (0*r + 3*r + 0*r)*(-r - r + r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/135*-6)\/(46\/1725*-15)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + v**2 + 20. What is o(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 215153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -2*y - 1\/60*y**5 - 1\/120*y**6 + 1\/3*y**4 + 2*y**3 + 0 + 7*y**2. Find m, given that l(m) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 23 + 2*k - 14 + 50 - 13*k**2.\nAnswer: -13*k**2 + 2*k - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6445 or 4804?\nAnswer: 6445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0978 + -0.2022. Let t = -2.97 - 0.03. What is the biggest value in l, t, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/6 (b) -63 (c) 6 (d) -2340\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7 - -5 - (-1004 - -2). Let f(w) = 19*w**3 + 2*w - 1. Let v be f(1). Let t be r\/(-14) - v\/35. Round t to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 291*m**5\/4 + 339741*m**4\/2 - 3409377*m**3\/4 + 1370358*m**2 - 694977*m + 7020 = 0?\nAnswer: -2340, 1\/97, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7876686.\nAnswer: 2, 3, 61, 21521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2777775 or -5.4?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, p: 3, b: 11}. What is prob of picking 3 b and 1 e?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -3. Let u = 2 + k. Suppose u*g = 12*g + 2632000. Round g to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 2*x**2 - x - 2. Suppose -2 = -2*y + j - 3, -4*j = -4*y - 12. What is o(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 28*k**2 - 47*k - 5. Determine l(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -460 divided by -4\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 847.5959 years in millennia?\nAnswer: 0.8475959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6219 + -6113.68. Let x = 105 - z. Which is the third biggest value? (a) -0.4 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30\/119 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x + 3*x - 3*x)*((0 + 0 + 2*x)*(-2 + 1 + 3) + 0 + 0 - x - 28*x + 27*x - 60*x) as k + p*x + m*x**2 and give m.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 240.77 and -0.083.\nAnswer: 240.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 8 + 2. Suppose 2000000 = -0*b - t*b. What is b rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 10\/(-28)*-95*52\/325\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 15\/4*l**3 + 5\/4*l**4 + 5\/2*l**2 + 0*l.\nAnswer: 5*l**2*(l - 2)*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42240699 to the power of 1\/3, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5667.57 + 5673.67146. Let f = -6.1 + q. What is f rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 - 202 + 686 = -50*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/3)\/(11\/(-6)). Let q = 19.7 + -21.52. Let k = 1.92 + q. What is the smallest value in g, k, -5\/2, 0.2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 34*r**2 + 282*r + 49. Calculate u(-14).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1304, 0.3, -267, -2.\nAnswer: -1304, -267, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2\/5 + 98*v\/5 + 20 = 0 for v.\nAnswer: -1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1810265?\nAnswer: 5, 362053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcgg when four letters picked without replacement from {g: 5, c: 13}.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 85, 151, 219, 289, 361, 435?\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**3 - 3*i**3 + 1403*i**4 - 11 + 1031534*i - 1031497*i wrt i?\nAnswer: 16836*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 63 = 4*j - 55, -6*j = -5*x + 34 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/20 of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -737*r - 3. Let g(s) = -6*s**2. Calculate d(g(a)).\nAnswer: 4422*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 58. Let l = 27.13 - v. Let r = l - 0.23. Which is the second biggest value? (a) 0.08 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 78*k - 687. Calculate i(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 184418292 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -647, -618, -569, -500, -411, -302?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(1\/4))**(5\/7)*b\/(b**(-9)\/b*b*b)*b**(-12))**(-49) assuming b is positive.\nAnswer: b**(413\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*r + 14 + 5, 0 = -g - 5. Factor -433*i - 2*i**r + 433*i - 4*i**2 + 2*i**4.\nAnswer: 2*i**2*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p = -13*p + 253095. Let t = -6074063\/72 - p. Let r = t - 26\/9. What is the smallest value in r, 1, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 8*c - 7. Calculate m(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 509 * 5342\nAnswer: 2719078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 3)*(5*o**3 - 6*o**3 + 5*o**3) + (-3*o**2 - 14*o**2 - 3*o**2)*(1 + o - 1) to m*o**3 + r*o**2 + t*o + i and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 + 16*f**2 + 4*f - 7*f**2 - 7 - 9*f**2 to d*f + p*f**2 + b + k*f**3 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/425865 and -36\/94105?\nAnswer: 25126035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326841?\nAnswer: 3, 108947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 10:57 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 4*n - 36, -i - 969*n + 964*n = -4 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + sqrt(1584)*2 + -4)**2 + -4 + sqrt(1584) + -1.\nAnswer: -276*sqrt(11) + 14267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 divided by -290?\nAnswer: -153\/290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*z + 32*z - 2 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 7*q**2 - 6*q + 1. Let v be l(6). Let w be 0 + (2 - 3) + v. Let f = -2949 - -2952. Which is the smallest value? (a) -5 (b) w (c) f (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56015 (base 7) to base 10.\nAnswer: -14075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u + 2. Calculate s(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1290 divided by -20\nAnswer: 129\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-6)*3 - (-460)\/(-46).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 0 - (-10)\/6)\/(195\/2340). Let n be 2\/(-6) - (-38)\/42. Sort 2\/11, n, q in decreasing order.\nAnswer: n, 2\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109\/3 + 36. Which is greater: k or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.042 and 4601?\nAnswer: 4601.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 9. Let f be 2\/5 - (-18)\/g. Let y be (-446)\/7 + f\/(-14). Round y to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2963?\nAnswer: 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*j**3 + 2*j**2 + 31*j**3 - 3*j - 317*j**4 + 314*j**4 + (-2*j**3 + 3*j**3 + 0*j**3)*(1 + j - 1) to w*j**3 + a*j**4 + k*j**2 + h*j + z and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(153)*-2 + sqrt(153) - (1 + sqrt(153) + -1)) + (3*sqrt(425) + sqrt(425) - sqrt(17)) + (sqrt(204)\/sqrt(6))\/sqrt(2) + 0)**2.\nAnswer: -28*sqrt(17) + 3333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -17. Let s = w - -3. What is the tens digit of (-1 - (s - 31))\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = k + 2. Suppose -k*u - 8 = 2*u. Let g be ((-45)\/(-6))\/((-1)\/u). Solve -x - 5*a - g = 0, a + 27 = -5*x - 0*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29530983 + -0.1251\nAnswer: 29530982.8749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 102 - 21*n + 131 + 34 - 21 + 18. Let y be f(12). Solve 0 = -4*d + d + o + y, 5*d = -o + 28 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33444420 + 31?\nAnswer: -33444334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r = -16. Let k(t) be the second derivative of t**5\/20 - 7*t**4\/12 + 7*t**3\/6 + 11*t**2\/2 - 2*t. Is k(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 757 - -100193447\nAnswer: 100194204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -67, -96, -125, -154?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, b: 3}. Give prob of picking 3 b.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from aunnicas?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*(-13)\/78*6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -63215*q**2 + 9*q. Let m(u) = -8*u**2. Determine c(m(a)).\nAnswer: -4045760*a**4 - 72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4 - -1 - (-42)\/(-28).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/(-5) - 5)*-1. Suppose 4 - 36 = -5*c + 3*i, -t*c + 3*i + 20 = 0. Solve -4*h - 25 = 5*g, -g + h - 5 = c*h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -20310312?\nAnswer: -20310322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 + 6*p + 5. Let c be o(3). Suppose -9*m + 10*m + c = 0, -8 = 4*a + 4*m. Solve 2*n + 9 = a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + t**4 + 2*t + (5*t**4 - 3*t**4 + t**4)*(-1 - 1 + 4) + 4*t**2 + 2*t**4 - 4*t**2 - 2*t + 2*t - 3*t**4.\nAnswer: 6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343 = -4*v - d - 295, 0 = -3*v - 5*d + 19 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 12. Let o(c) = 7 - 2*c**x - 7. Let u(h) = 8*h. Let s(q) = -q. Let k(n) = 52*s(n) + 6*u(n). Give o(k(l)).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*v - 376*v - 18*v - 162*v - 28*v to the form a*v + x and give a.\nAnswer: -622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -107.0000199 - -107. Round n to 6 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385433 is divided by 539?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*z + 23*z + 19*z + 13)*((-4 + 1 + 2)*(9*z**2 - 5*z + 5*z)*(-1 - 5 + 4) - 3*z**2 - 2*z**2 + 3*z**2 + (4 - 4 + z)*(-2*z + 0*z + 3*z)).\nAnswer: 34*z**3 + 221*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 + 2*q**3 - q**3)*(-5*q - q - 2 + 9*q).\nAnswer: -6*q**4 + 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1169 and -2.05.\nAnswer: -1.9331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -98, -180, -276, -392, -534?\n\"Answer: -h**3 - h**2 - 72*h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + (14 + -2 - 19) + -14 + 23?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 9 = -5*h, -4541*y + 4544*y - 111 = 40*h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.71995 + -0.21995. What is the third biggest value in 0.1, -2\/9, -106, g?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 3*a + 2. Suppose 0 = -0*b + 5*b. Suppose b*u - 48 = -3*u. What is the remainder when i(4) is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c + 2*c - 7. Let q be (6 - 2) + (c - 0). Suppose 3*n - q*s = 51, 5*n = s + 10 + 55. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) + (sqrt(4032) - sqrt(4032)*2))\/(sqrt(45)\/sqrt(80)))**2 - (2 + sqrt(56)\/(sqrt(8)*-2) + 0).\nAnswer: sqrt(7)\/2 + 5486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2*1*(-2)\/(-2))\/(106\/(-795))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 496 = 2*z. Let p = -98 + z. What is the remainder when 59 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 126 = -49. Suppose 0 = 4*b - 45 - n. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 u when three letters picked without replacement from {x: 2, k: 2, i: 1, u: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 3:11 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -802 divided by -25.\nAnswer: 802\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 6.5. Suppose -2*h - 51*h - 4032 = 43*h. Sort y, 0, h in decreasing order.\nAnswer: y, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11641798*t - 6884011?\nAnswer: -11641798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24644, 49272, 73900, 98528, 123156, 147784?\n\"Answer: 24628*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44422 and 1358.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -53545677?\nAnswer: -53545677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -4144?\nAnswer: 4134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015881031 to six dps.\nAnswer: 0.001588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -6. Let h = -0.96 + 0.46. Let d be 11\/44 - 1\/(-4). Which is the nearest to d? (a) i (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f + 4. Let c be x(0). Suppose -2*a = -8*t + 3*t + 6, -t + c = 0. What is the remainder when 19 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374*j**2 - 960*j**2 + 285*j**2 + 315*j**2.\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 14\/(-10) - (2304\/(-90) - -22). Factor 1\/2*c + 1\/4*c**g + 3\/4 - 1\/2*c**3 - c**2.\nAnswer: (c - 3)*(c - 1)*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1326900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k - 2912 = 12*k. What is the remainder when k is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1918 minus -1?\nAnswer: -1917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1155 and 16215969.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 - (46\/(-4) + 1). Which is the second biggest value? (a) f (b) 3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.085 and 12468278.1388.\nAnswer: 12468278.0538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(0*u**4 + 0*u**4 - u**4)*(-3*u - u + 5*u).\nAnswer: u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2742, -5483, -8224, -10965, -13706?\nAnswer: -16447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42480 and 944?\nAnswer: 42480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 1. Let n(b) = -25*b + 5. Let z(r) = n(r) + 2*p(r). Is z(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**34\/q)\/q**(-3\/5))\/((q*q\/(q\/(q*q\/((q**12\/q)\/q))))\/q*q\/(q**28\/q)))**(-2\/101) assuming q is positive.\nAnswer: q**(-676\/505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c8 (base 15) to base 8.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnnnngrrpnnn. Give prob of sequence pg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -355241 (base 8) to base 6.\nAnswer: -2334305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 + 590*a**2\/3 - 5494*a + 22470.\nAnswer: 2*(a - 21)*(a - 5)*(a + 321)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2, -5691, 2\/3, -2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -73, -112, -153, -196?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/5 (b) -0.9718 (c) 9\/658 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 8:56 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/69 + (3880640\/4163)\/67?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/14 + 48\/28. Let r = 75 - 40. Solve r = -5*g - 3*q, 2*g + h*q + 30 = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37222 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 540 and 5300?\nAnswer: 143100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.32 + -0.02. Let h = -0.2 - -0.3. What is the nearest to -0.1 in h, z, -1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4 - 3*i + i**3 - 6*i**2 + i**2 + 4*i + 0*i. Give f(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 329, 1373, 3133, 5609, 8801?\n\"Answer: 358*w**2 - 30*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**4\/12 + 5*n**3\/6 + n**2\/2 - 2*n. Let p be 6*(-4)\/24*6\/1. Determine y(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 1\/2, -0.141, -5\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.3 (c) -3\/7 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 11) in base 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 49763200 to the nearest 100000.\nAnswer: 49800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 2 = -3*u. Find the common denominator of u\/(-21) + 3405\/700 and -63\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**2 + 73*l - 1382. Calculate o(-28).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12403011 (base 5) in base 6?\nAnswer: 2342000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 110\/3481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4158983.\nAnswer: 47, 107, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 1921\/498?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2185, -4014, -5843, -7672, -9501?\n\"Answer: -1829*b - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23642, 47289, 70938, 94589?\n\"Answer: t**2 + 23644*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -3 (b) 0 (c) 1057 (d) -0.133 (e) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30906811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*s**3 - 101008*s**2 + 4*s - 29675962 with respect to s.\nAnswer: -57*s**2 - 202016*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 701 is divided by 559?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 345 + -351. Let c be (1 - k)\/(-45 - -40). Put -5, 3, c in decreasing order.\nAnswer: 3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 11*c**2 - 4*c - 20. Let l be o(-13). Let q = -304 - l. Suppose -2*n - 8 = 4*z - 2*z, 3*n + 10 = -2*z. Is n at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 940 and 5?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 510\/153)\/(20\/(-18))?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 89*n**2 + 8 - 1 - 82*n**2 - 46.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-30)*a)\/(a*a\/(a**(1\/8)*a)*a))**(-5) assuming a is positive.\nAnswer: a**(1235\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**5\/4 + 15*d**4 + 81*d**3\/4 - 183*d**2\/2 - 69*d + 126 = 0.\nAnswer: -2, 1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 9:43 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -3. Let c(r) = r**3 + 7*r**2 - 8*r + 5. Let w be c(-8). Let x = w - o. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9009 in -5, -45, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15938250?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8311 + 15414. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 8 + 28, -2*r = i + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*((-5)\/20 + (-1)\/2). Let o be (-2 - y) + 0\/(-5). Solve x - o = -0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163, 292, 419, 544?\nAnswer: 667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -193*x - 11107 + 8791 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471988156 a multiple of 801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from zkkkz?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1624*q + 0 - 6011*q + 0 + 7644*q.\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 25817854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 1. Let r(l) = 14*l + 10. Determine -10*d(f) + r(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4*(221\/204 - (-3)\/12). What is the nearest to 3 in 3\/7, 52, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.168324 - -0.1689. Round k to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = 2*h, 3*u = -5*h + 17 - 3. Let r = 2 + u. Suppose 0 = -5*i - r*i + 20. Solve -4*w + 0 = i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 9*c**4 + c**3 - c**2 - c - 4. Let l(p) = p**4 - p**3 + p**2 + p. Let m(r) = -j(r) - l(r). Find the first derivative of m(f) wrt f.\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 44. Let q = h - 39. Suppose 0 = -o - 0*o + 10. What is the smallest common multiple of q and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2765 - 5526 + 2761 + o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 363, 713, 1027, 1293?\nAnswer: 1499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, r: 2, v: 3, n: 8}. Give prob of picking 1 r and 2 l.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 711 - 678. Calculate the remainder when 36 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91*v - 91*v + 7*v**2)*(-4*v + 2*v + 4*v) + 0*v**3 - 4*v**3 - 2*v**3.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 353286 and 133.\nAnswer: 2473002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**3\/3 + 3*d**2\/2 + 2*d - 1. Let a be y(4). Sort a, -3, -0.3 in decreasing order.\nAnswer: -0.3, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 14, -16 in increasing order.\nAnswer: -16, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, g: 4}. Give prob of picking 2 p.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36802 - 36802. Which is the biggest value? (a) -5\/2 (b) i (c) 1151\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -8*d**2 + 5*d + 9. Let h be x(8). Let l = -137 - h. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 31*n = -144, -6*o + 2*o + n + 12 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 682, 535, 420, 349, 334, 387?\nAnswer: 520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000043667 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-17\/6)*x*x*x*x\/x**(3\/7))\/(x**20\/(x**(1\/14)*x)) assuming x is positive.\nAnswer: x**(-361\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 101\/8 smaller than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4*(0 + sqrt(125))**2 - ((sqrt(245) + sqrt(245)*-2)**2 - sqrt(5) - 3*sqrt(5)*-2).\nAnswer: -5*sqrt(5) + 259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129003654.\nAnswer: 2, 3, 13, 19, 61, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**3 + 12*s**2 + 1 - 3*s**2 - 3*s**3 - 8*s**2. Let p be (-2 + 1)*6 + 8\/2. Let o(u) = 608*u - 1 - 606*u - 1. Give p*z(f) - o(f).\nAnswer: 2*f**3 - 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17676668 to the nearest integer?\nAnswer: 4204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000018648585 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9741\/(-191)*(-10)\/(-3). Is -1353\/8 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 2135609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -23, 0, -154, -5, 3 in decreasing order.\nAnswer: 4, 3, 0, -5, -23, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-3) - 290\/(-3) is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7812*u - 15635. Give r(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 12 = 3*i, 0*i + 2*i = -4*z + 18. Suppose 20 = z*d - d. What is g in g**d - 2*g**5 - 5*g + 2 - 1 - 10*g**3 + 5*g**4 + 10*g**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1225 divided by -5\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppkpyppppp. What is prob of sequence py?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 12:58 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40399 times 0.5?\nAnswer: 0.201995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -9*b**2 + 2*b + 74. Let x be 22\/(-253) + 4293\/(-621). Let p(g) = 13*g**2 - 3*g - 111. Calculate x*l(k) - 5*p(k).\nAnswer: -2*k**2 + k + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llfvrrlrddfu. What is prob of picking 1 v and 1 u?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 943, 1989, 3139, 4399, 5775, 7273, 8899, 10659?\n\"Answer: k**3 + 46*k**2 + 901*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39187080.\nAnswer: 2, 3, 5, 199, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 5*f - 202, -3*i = -4*i - f - 50. Let x be 4\/6*i\/(-2). What is the derivative of -4 - 8*g**2 + 0 + x*g**2 wrt g?\nAnswer: 16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -2. Let v(r) = -r - 1. Let d be v(k). Suppose -4*n + 4 + 8 = d. Solve -5 = -4*s + n*b, 4*b - 3 = -5*s + 11 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + g - 19 = 0, 3*g - 5*g = -4*b + 12. Factor -24*q - b*q**2 + 4*q**2 + 4*q**2 - 6*q**2 - 48.\nAnswer: -3*(q + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {v: 2, d: 5, j: 2, h: 3, x: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*v**4 + 3*v**2 - 3*v**3 + 0*v**3 + 3*v - 3*v**2 - 28*v**4 + v**2.\nAnswer: -v*(v - 1)*(v + 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62913071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 3*p + 1 - 16, -4*s = -3*p + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 18*t**2 + 3*t + 1. Suppose 4*v = a - 12, -9 - 23 = 5*a + 3*v. Is q(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3368 divided by 378.\nAnswer: 1684\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven halves of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 u, and 1 j when three letters picked without replacement from ucmnnkjk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/(-416))\/(14\/(-8))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 - 4 = 0. Suppose -5*q + 22 = -123. Suppose 4*v - q = u. Calculate the remainder when 13 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/2)*j\/(j**(2\/11)*j)*j)**(-2)\/(j**(-1)\/(j**(-3\/2)*j)*(j**0)**(-8\/7)) assuming j is positive.\nAnswer: j**(-91\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 506\/6072 + (-7 - 555\/(-108)).\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 793 = -57*b + 1990. Solve -3*i + 9 = -2*i - 4*y, -2*i - b = 5*y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 869795703?\nAnswer: 3, 7, 13806281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 589596913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/12)\/(4\/(-18)). Let r = -9 + 3. Let q = -5 - r. Which is greater: q or i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g**2 + 4*g + 3. Let m be h(-4). Let b = m - 59. Let s = b + 5. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/490)\/((-4)\/(-20))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 9:04 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + -87*(-3)\/(-54). Let j = -4 + 8. What is the biggest value in j, r, 2, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71567.\nAnswer: 59, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (7 - (-6 + 7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65058641 to the nearest integer?\nAnswer: 8066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 3*y - 6*y + 21 = 0, -5*y = -15 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iozoioocoiomozofozo. Give prob of picking 1 c and 1 i.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1054 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120868 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70415189 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 + 39*b**2 + 20*b - 46. Determine p(20).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 != 34249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1574, -3160, -4736, -6296, -7834, -9344, -10820, -12256?\nAnswer: -13646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 8*o - 79. Let h be r(6). Solve 3*k + h = 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82 + -145. Let b = u + 67. Solve -b*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**3 - 1 + 17*p**3 + 0 - 4 - 7*p**3 to h + b*p + u*p**2 + x*p**3 and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 343155485 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1000001011 (base 2) to base 7\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/11 and -49\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14484654.\nAnswer: 2, 3, 804703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-1470))\/(20\/(-420)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = -3*c + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 7 + 28 = 0. Calculate the least common multiple of 2 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**25\/f)\/(f**12\/f) assuming f is positive.\nAnswer: f**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooocncoon. Give prob of picking 1 o and 1 c.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101 - 100011?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -2 - -13)*-1. Let c = 21 + q. Let f(k) = k**3 - 7*k**2 - 8*k. Let v be f(c). Solve v = -3*x + 3*z - 9, 2*z - z + 21 = -5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 27 = 2*u, 2*u - 3 = -3*t + 2*t. Suppose -5*f = c + 31, 39*f = 5*c + 37*f + 20. Let m be 1*32\/c*(-30)\/t. What is m rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/9 + 20*v**2\/9 - 98*v\/9 - 260\/9.\nAnswer: 2*(v - 5)*(v + 2)*(v + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 49\/(-63)) + (-136)\/36?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -411 + -20203?\nAnswer: -20614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-9)\/t*t)\/((t\/t**(-3\/5)*t)\/t))\/(t**(5\/3)*t**(-2\/21)\/t))**(-1\/28) assuming t is positive.\nAnswer: t**(391\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5044.2 rounded to the nearest 100?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -672691982 > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1204 (b) -1\/2 (c) 1295 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -684, -950, -1202, -1434, -1640, -1814, -1950?\nAnswer: -2042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -129, -141, -131, -93, -21, 91, 249?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 + 27 + (-18 - -4)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434*o = 344*o - 156*o + 20526 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 461*d**2 - 3222*d - 6. Give t(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(208) + -2)*4 - -2*sqrt(208)*2 - (-1 + sqrt(208) + 4 + 0 + sqrt(208) + -1 + -4))*-6)**2.\nAnswer: -10368*sqrt(13) + 270861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + -2. Let w = 5 + q. Let p be ((-2)\/(-6))\/((-1)\/w). Solve 3*h + 4 - p = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3 + 24548*y**2 + 49092*y = 0.\nAnswer: -24546, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s**2 - 16 + 4 - 12*s**2 - 12 with respect to s.\nAnswer: -20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 12) to base 15\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 + 129. Let v = 79 - b. What is the remainder when 38 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1366.002 litres?\nAnswer: 1366002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 204, -8, -2, 26, 4 in increasing order.\nAnswer: -8, -2, 4, 26, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1134 (base 5) in base 16?\nAnswer: -a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 21434 (b) 15 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - 2. Let z = s + -1.9. Which is the biggest value? (a) 3 (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 33578166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((1340\/80)\/(-67))\/2\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/2477078 and 39\/3740765.\nAnswer: 1473861410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3037783 (base 11) to base 5.\nAnswer: -2333300421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 15*o + 81 = 0. Let y be o + (9\/3 - 5). Suppose -5*m + y = 0, 2*m + 20 = l - 18. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 9*u**2 - 41*u + 43*u - 6*u**2 - 1 + 2*u**3. Let g(w) = -w**3 - w**2 - w + 1. Let n = -9 + 6. Give n*g(b) - j(b).\nAnswer: b**3 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4039*s**2 - 95*s + 282. What are the prime factors of m(3)?\nAnswer: 2, 3, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2497470 and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 9835.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1579 + -1578.78992. Let r = -0.21 + f. Round r to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2261.88 + -2195. Round n to zero decimal places.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 258731\/9 - 28747. Suppose 0 - a*l - 2\/9*l**2 = 0. Calculate l.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3503 + -3856. Which is the third smallest value? (a) -2 (b) -1\/5 (c) i (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 98, 139, 178, 215, 250?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*w - 863 = 163*w + 25 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112295020859.999999743 - 112295020651. Let j = u + -209. Round j to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1380 and 826.\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 222676 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -8*c - 281. Let y be z(-36). Let r(f) = -7*f**2 - 5*f + 3. Let o(h) = 10*h**2 + 8*h - 4. What is y*r(d) + 5*o(d)?\nAnswer: d**2 + 5*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -139*v**2 - 843562*v + 1050880222 wrt v.\nAnswer: -278*v - 843562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63084000 rounded to the nearest 1000000?\nAnswer: 63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - (3 + 3\/(-4)))*-212. Let h = -24 - d. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 980717678 to the nearest integer?\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + i + 8. Let n be c(-6). Let u = -53 - n. Let k be 74\/14 + 26\/u. Calculate the highest common divisor of k and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 0.052\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26, -0.4, -6923, 5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -277 + 284. Solve -2*v + 2*y = y + f, -y = 2*v + 9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, h: 5, r: 7}. What is prob of picking 1 p and 3 h?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 272717 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 - -151. Suppose 3*o - q = h, o - 5*q = 29 + 37. Suppose -12*v + o = 23. What is the smallest common multiple of v and 38?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*c**3*l**3 + 5*c**3*l - 2*c**2*l**2 - 18375*c*l**3 + l**3 - 162283 wrt l?\nAnswer: 294*c**3 - 110250*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 21 - 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 0.05, 2\/15, 2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 649268?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + 133 + 2. Let b be 1\/(5\/k*1). Let 10*s**2 - s + 5*s**3 - s - 3*s - 10*s**b = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 7*a**2 + 4*a + 7. Let p = -108 - 185. Let h = p - -299. Determine q(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y = -111 - 131. Let z be (-215)\/(-55) - (-1)\/y. Let c(v) = -v + 5. What is c(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(12\/(-66)) - 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218 = -232*f + 268*f - 862 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*l = 147352 - 26023, l + 202222 = 5*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.461003028 to two decimal places.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -859*i + 775*i - 1920362 = -9855758. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-7)\/4)\/(2\/(-8)). Let d(b) = -3*b + 0*b + l*b. Let z(a) = 3*a**2. Give z(d(w)).\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*f - 44, -2*o = -f - f + 22. Calculate the remainder when 18 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 234 and 18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42*q**2 + 8144*q - 127770.\nAnswer: -84*q + 8144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 194809973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (10 - 14 - -11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16368 and 21092214?\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3894221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 9762.\nAnswer: 78096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 43, 67, 91, 115, 139?\n\"Answer: 24*i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 399209, 798386, 1197565, 1596746?\n\"Answer: v**2 + 399174*v + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 8. Let f(j) = -6*j - 39. Let r(s) = -2*f(s) + 11*g(s). Determine r(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((9 - 11) + (-7 - -3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**4 + 2*v**4 + 0*v**4)*(15 - 17 - 16).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.5 + -4. Let m = 1906 + -1906.5008. Let b = o + m. Round b to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1440 and 3630.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i + 0*i - 7*i)*(-2 - 2 - 1) - 2*i + 2*i + 2*i to the form y*i + j and give y.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -5.4. Let s = -2 - -2.3. Let z = c - s. Which is smaller: -3 or z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-52 + 6 + -4). Suppose c = 7*f + 15. Suppose -h + 6 = 3. Solve h*q = -2*g + 7*g + 15, -4*q + 20 = f*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 z when four letters picked without replacement from gzzzbbgzzqezb.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1064842*g**4 + 6*g**2 + 25*g + 34.\nAnswer: -25556208*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k + 5 - 2*k**2 + 4 - 3 as j + d*k**2 + w*k and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*j + 219 + 231. Put j, 5, -2\/15 in ascending order.\nAnswer: j, -2\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 17357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255 divided by -85.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 5*j - 6. Let b be w(-2). Solve 2*p - n = 3, b*n - 21 = p + 4*n for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 + 86. Suppose 5*p - 2738 = -3*o, -14*p + 15*p = -b*o + 2746. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/4 + 3048*b - 6043113\/4.\nAnswer: (b - 477)*(b + 12669)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 4:40 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1029363584 by 1376.\nAnswer: 748084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -1\/2, -184, 1.4 in decreasing order.\nAnswer: 1.4, 1\/8, -1\/2, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.176363 to two decimal places.\nAnswer: -11.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 109*h + 2663. Give m(-26).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 115 = -x - 4*x, 5*x = u - 43. Solve -5*b + u = -a, a - b = b - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 320*o*p**3*w**2 + 60*o*p**3*w - 3*o*p**2*w**2 + 3*o*p*w**2 + 276*o*p*w + o*w**2 + 2*p**2*w**2 + 5*w wrt p.\nAnswer: 1920*o*w**2 + 360*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 6:54 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/(-1330)*-7)\/(18\/15)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 + -50. Suppose 4*t - 2*g = a, 5*t + 0*g = -4*g + 17. Let f(x) = x**2 + 7*x + 2. Is f(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -120\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3649*p + 113091. Give r(-31).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 - 31914672.977.\nAnswer: -31914672.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1590)\/(-2) + -18 + 5 + 8. Let p = x + -230. Is p a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640441063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.364 - 0.33. Round i to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -2\/63 (c) -3 (d) 205 (e) 5 (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -q - 14*q. Suppose 16 = 4*r + 4*l, l + 24 = -4*r + q*r. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 6*b - 11. Let m be u(8). Let d(k) = 136*k + 25. Let l(h) = -45*h - 8. Let j(q) = 4*d(q) + 11*l(q). Is j(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y**2 + y**2 - 9*y**2)*(10*y**2 - 7*y**2 - 12*y**2 + (y + 4 - 4)*(-3*y + 2*y + 0*y)) to h*y**4 + p + t*y**3 + s*y**2 + n*y and give h.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 442038784?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/5)\/((-9 - 0)*87\/(-24795))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -198933 + -4?\nAnswer: -198937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9*(-5)\/(-30) + (-3)\/(-2). Suppose 0 = 5*b + 15, -y*b - 23 = -2*m + 76. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2070 + 177*t - 7100 + 198*t - 376*t.\nAnswer: -t - 9170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 1. Let w(z) be the second derivative of z**3\/3 - 11*z**2\/2 - 6*z. Let j be ((-8)\/(-14))\/(8 - 888\/112). Let c be w(j). Give i(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75684942 divided by 5427\nAnswer: -13946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 2*p - 4*p)*(1 - p + 4*p - 2*p) + (0 + 4 - 5)*(6*p**2 - 4*p**2 + 0*p**2) to the form o + t*p**2 + j*p and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**3\/3 - 7*k. Let g(p) be the third derivative of p**4\/3 + p**2. Determine y(g(v)).\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -6*v**2 + 8*v - 19. Let s be h(4). Does 19 divide (190\/(-30))\/(2\/(s + -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(96)*3)\/((1*(3*sqrt(120) - sqrt(120)) + sqrt(120))\/sqrt(10)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10631930 to the nearest integer?\nAnswer: 3261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14042, -27861, -41680, -55499?\nAnswer: -69318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413825484?\nAnswer: 2, 3, 53, 650669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*p**2 - 3*p**3 + 13*p**2 - 2*p**2)*(0 - 2*p + 0 + (5 + 2 - 5)*(-3*p - 3*p + 5*p) + 6*p - 5*p + 0*p + 4*p - p - p).\nAnswer: 3*p**4 + 44*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.227 + -0.773. Is o >= 4\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 1 - 1)*(8*j**3 + j**3 - 4*j**3) + 2*j**4 + j**4 - 2*j**4 + (-3*j - 3*j**3 + 3*j)*(j - 3*j + 0*j).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 8:00 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*h - 40. Calculate the remainder when (114\/4)\/((-6)\/(-8)) is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 4, 5, 1, 16, -345 in increasing order.\nAnswer: -345, -1, 1, 2, 4, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 207345260 a multiple of 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28271 and 13304?\nAnswer: 226168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -1) + -3 + -2 + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6610428 and 1881?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 57*q**3 + 36*q**2 - 147*q - 46. Determine s(5).\nAnswer: 7244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1\/55 (b) -12\/11 (c) -2 (d) 4\/9 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 36 + (-34 - -18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -16*a**2 + 4444*a + 10087. Determine n(280).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -30 + -14 + 30.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h. Let g(c) be the first derivative of -151*c**2\/2 - 59. Calculate z(g(r)).\nAnswer: 755*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224663, 898138, 2020607, 3592076, 5612551?\nAnswer: 8082038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 525\/6 - (-5)\/(-10). Let d = 214 - w. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19922 is divided by 3272?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -89 in -3\/8, -1\/2, -3, 5, -71\/4?\nAnswer: -71\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2554 and -1.028?\nAnswer: -2625.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u - 531 = -74 + 293 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -9*p**2 + 2*p. Let u(z) = -2*z + 144 - 138 - 6. Give h(u(t)).\nAnswer: -36*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 20. Suppose 0 = -y*i + 13*i. Suppose -13*u + 46 = 20. Solve u = w - i*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4 - 5. Suppose -3 = -f*c - 39. What is the tens digit of (c\/5 - -3)*35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 8 + 0*r**3 + 9*r - 18 + r**3 - 8*r**2. Let d be c(7). What is the third derivative of -3*l**2 - l**4 + l**2 + 4*l**4 + 2*l**d wrt l?\nAnswer: 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1920 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2336a - -28?\nAnswer: 23392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 4) to base 6\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 10*q - 17. Let o be i(-6). Let g(l) = -22*l. Let w(c) = 7*c. Let k = 2546 - 2544. Give k*g(j) + o*w(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 281045527 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/14)\/(33\/6 + -6)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 37. Let c = 15.23 - 5.23. Let j = c + k. What is the smallest value in 3, 0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*m - m + 3*m)*(2*m + m - 2*m) - 6*m**2 + 35*m**2 - 2*m**2)*(-1 + 4 + 2).\nAnswer: 145*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -102220?\nAnswer: -102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 48876 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2301638 - 155?\nAnswer: 2301473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154485 = -11*x + 8*x - 5*y, 5*y = -30. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 - 6*l + 295. What is the units digit of w(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21545.332 rounded to the nearest 10?\nAnswer: -21550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -1370175?\nAnswer: 4\/456725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**5 - 3*y**4 - 6*y**3 - 5*y**2 - 4. Let m(n) = -n**4 - n**3 - n**2 - 1. Let s(z) = l(z) - 4*m(z). Factor s(a).\nAnswer: a**2*(a - 1)*(a + 1)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1016 and -0.09.\nAnswer: 1015.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*x + 2*x**4 + 2*x**2 - 4*x - 4*x to m*x**2 + p*x**4 + c*x + a*x**3 + b and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 10*u + 959 + 559. Is -140 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 797*k + 546*k + 4641 = -204*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 - 1.9. Let v = -0.118 - -0.276. Let h = -0.142 - v. Which is the smallest value? (a) -2\/5 (b) h (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2291.89 + -2279. Let x = 0.71 + p. What is x rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 2*a + a. Suppose a = -5*v - 5*l, -2*v + 3*l = -2*l. Let f(k) = k. Calculate f(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**2\/2 - 142*a\/3 - 94\/3 = 0.\nAnswer: -94, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29*z**4 - z**3 + 149*z**2 + 160335?\nAnswer: 116*z**3 - 3*z**2 + 298*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 457048 = -32*c - 154152. Round c to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 17*i - 16*i - 5, -5*i = -3*o - 11 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*k**3*w**3*z - 1381*k**3*w**2*z - 7*k**2*w**2*z - 3*k**2*w*z - 102*w**3 wrt k.\nAnswer: 48*w**3*z - 8286*w**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 23*g**2 - 10*g. What are the prime factors of a(26)?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62 + -60 + 10 + -4 - 33?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-170)\/34 + (1 - 6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11977, -47829, -107575, -191209, -298725, -430117, -585379, -764505?\nAnswer: -967489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4 - 21742*u**3 + 260656*u**2 - 434360*u = 0. Calculate u.\nAnswer: 0, 2, 10, 10859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 41*n**6\/40 + 85*n**3\/6 - 105*n**2. What is the derivative of c(o) wrt o?\nAnswer: 369*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-8) + (-2)\/(-4). Let s = -3 - -2.8. Let n = -0.06 - -0.46. Which is the third biggest value? (a) d (b) n (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 30 = -10. Suppose -2*t = 5*c - 27, -5*t - c - k + 76 = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23440 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352*r**2 + 367*r**2 - 687*r**2.\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/3 + -1)*0. Suppose 1 = s, -5*l + s + 884 = -v*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12\/5*d**2 + 22\/5*d + 2\/5*d**3 + 12\/5 = 0. Calculate d.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1232772 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -248 - 23*t**2 + 2*t**3 - 251 + 13*t + 510 - 12*t**2 + 3*t. What is q(17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*d - 445 = 1195 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 11:58 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from kjjkffjfjakkfjjjkk.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 5*l + 8. Let z be d(-7). Let f = 273 + -200. Let b = f + z. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 22*a + 14. Determine u(7).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3429 and 1034796?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - x**2 + x - 6. Let q be r(0). What is the tens digit of -5 - q - (-35 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11406 + -6270. Is t a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 0 = 4*t. Suppose -w + 1 + t = 0. What is the derivative of s**w + 1 + 2*s**4 - 6*s**4 + 2*s**4 wrt s?\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 17*s**2 + 1298*s + 121. Determine t(-76).\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.28704 rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*t = -87*t - 18 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 28\/9 of a week?\nAnswer: 31360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/2435624 and -111\/37752172.\nAnswer: 75504344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1153*z**5 - 496*z**2 wrt z?\nAnswer: 69180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 222 + 14*u - 4*u**2 - 222 as s*u**2 + w + l*u and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-11)\/374)\/(1 + (-12)\/8))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -47161?\nAnswer: -4\/47161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m**3 - 4*m**2 + 5*m - 1. Let k(a) = -a**3 - a. Let u(h) = 6*k(h) + o(h). Calculate u(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -49 and -0.3336.\nAnswer: -49.3336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 3) + 51\/6. Let s = 86 - 71. Suppose -3*h + 3 = -4*h, j = 3*h + s. Is r less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 - 1652.2\nAnswer: -1652.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 842579144 to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110010100000 (base 2) to base 11.\nAnswer: -1072a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**12*d**(-1\/16)\/d*d*d**(1\/37)*d**14 assuming d is positive.\nAnswer: d**(15371\/592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1292852 = -175*j + 2075877 - 24129. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 0, 8, 4, 1 in descending order.\nAnswer: 22, 8, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p + 31. Does 5 divide l(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 9:47 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4420*o**3 + 8*o**2 - 21*o + 13. Is x(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15197969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + ((-23)\/(-115))\/((-33)\/285)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120840 and 12720.\nAnswer: 241680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45 and 2?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 33\/5 of a millisecond?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -3\/25, -4\/91, -0.03, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-35)\/(-4) - (-55)\/220. Calculate the greatest common factor of i and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -133*y**2 + 133*y**2 - 96*y**3 + (-16 + 16 + 3*y)*(2*y - 2*y + 2*y**2).\nAnswer: -90*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (-1)\/2)*10. Suppose -5*l + 5*g + 75 = 0, o*l + 2*g - 3*g = 71. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 37 + 38. Let m be 1\/t + (-46)\/(-69). Factor 0*z**4 + m*z**5 + 0*z**2 + 3\/5*z + 0 - 6\/5*z**3.\nAnswer: 3*z*(z - 1)**2*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 7*q + 93. Let d = 36 + q. Suppose 6*i = d*i + 85. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20201102100 + -110211?\nAnswer: 20200221112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 5*q**2 - q - 5. Let v be t(-5). Factor 0*i + v*i**2 - 2\/5*i**5 + 0*i**3 + 0 - 2\/5*i**4.\nAnswer: -2*i**4*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11817\/3248 + -10\/203. Find the common denominator of c and 101\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -1.13, 5 in decreasing order.\nAnswer: 5, -1.13, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -546694, -1093395, -1640108, -2186839, -2733594, -3280379, -3827200, -4374063?\n\"Answer: -q**3 - 546694*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 843794 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -163632 and -981.\nAnswer: -164613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173059 is divided by 1074.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -442, -442, -438, -430, -418, -402, -382?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*s - 159985 = -10*s. Suppose s = -k + 3849. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -34, -40, -46, -52?\n\"Answer: -6*y - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouwaotwowwa. Give prob of picking 2 o.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10218, -20436, -30654?\nAnswer: -40872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 3)*(-1 + 0) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 9:43 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (41 - 7) + 0 + 1. Suppose -53*p - w = -58*p. Solve 4*h + 13 = -p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 346103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**5\/9 + 272*j**4\/9 - 10568*j**3\/3 + 607328*j**2\/9 - 2057728*j\/9 + 215040 = 0.\nAnswer: -216, 2, 20, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(4\/76) - 4. Let r(x) = -x**3 + 14*x**2 + 16*x - 5. Is 10 a factor of r(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6950765, -27803060, -62556885, -111212240, -173769125, -250227540, -340587485?\nAnswer: -444848960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 3. Let p(a) = 503*a + 10. Give -4*g(q) - p(q).\nAnswer: -499*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t + t - 2*t)*(5 + 1 + 0) as n + d*t and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.0627 (b) 4 (c) -3\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 s when three letters picked without replacement from {s: 2, r: 1, i: 1, z: 1, q: 2, l: 11}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - -113) + -27 - 85?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 126038 to the power of 1\/2, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmwiwwimmmwmiwww. What is prob of picking 2 i and 2 m?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6*c + 421. Calculate k(-16).\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 11364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 25 = 0, -4*k = -5*f + 219 - 542. Suppose -k = -h + 153. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 130*7\/((-70)\/15). Let w = 977\/5 + l. Let i = 1 + -0.3. Is w equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 384*x**2 + 1462*x - 321. What is i(-4)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -21*j**2. Let g(x) = -3*x**2 - 47*x. Calculate g(y(a)).\nAnswer: -1323*a**4 + 987*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 670*r + 10 = 668*r - 6*q, 0 = -16*r - 4*q - 36 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2515507493 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.27989 micrometers to meters.\nAnswer: 0.00003527989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -382a?\nAnswer: 3830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 6*g + 3. Let d be q(-4). Let y(x) = 4*x**2 + 7*x + 4. Is y(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-6) - (-8073)\/(-1053)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182183 (base 10) in base 14?\nAnswer: 4a571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and -42030316?\nAnswer: -840606.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -30*b**3 + 92488*b**2 + 6170*b - 12332 = 0. Calculate b.\nAnswer: -2\/5, 1\/3, 3083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/623 and -163\/42.\nAnswer: 3738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.7 and 2733.41.\nAnswer: -10113.617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-5 + (-7 - -14) + 15)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 9*c + 2. Let g(m) = -m**2 + 17*m + 33. Let x be g(-2). Give f(x).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**7\/840 + 7*t**6\/360 - t**5\/20 + t**4\/8 - t**3 + 3*t**2 - 32. Let x(f) be the third derivative of r(f). Calculate x(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35042 (base 9) to base 3.\nAnswer: 1012001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, 0.26, 3\/31 in decreasing order.\nAnswer: 0.26, 3\/31, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 131917 to the power of 1\/2, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in millimeters?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (-2*sqrt(6))\/sqrt(3)) + 1.\nAnswer: 1 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-8)*1*-34. What is the common denominator of (1 - n\/24)*36 and 29\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -224 + 237. Let c = -8 + f. Solve 0 = v - c*j, -5*j = 5*v - 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 6*q**2 - 6*q + 6. Let c be r(-5). Let a = c + -5. Let l(p) = 75*p**3 + 3*p**2 + 15*p + 2. Let s be l(a). Round s to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -625 = -14*a + 19*a. Let k = a - -136. Calculate the remainder when 29 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/81 in 2, 2\/19, 10\/11, 122?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 7*d**2 - 6*d + 6. Let x be p(6). Let l be (-298)\/x - 4\/(-6). Let k = 57 + l. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1 + (sqrt(304) - (sqrt(304) - sqrt(304)*2) - sqrt(304)) + 5)**2 + 1).\nAnswer: 96*sqrt(19) + 682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-18)*56\/70 + 472\/(-24).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z - 5. Let i be w(4). What is the common denominator of i\/(-33) - (1 - 1) and (-2)\/(-3) + (-43)\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 5*b = 29, -4*c + 3 = -4*b + 3*b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*(0 + sqrt(11))*4)**2.\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 69, 135, 237, 381, 573?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/439 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 65*g + 23*g - 2 + 33*g + 5*g**2. Let j be y(-7). Let p = j + 82. What is the greatest common factor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -311*g + 87*g - 93*g + 0*g + g - 3*g + (-4 + 1 + 0)*(0 + 0 - 2*g).\nAnswer: -313*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-10 + 11)) + (-2 - (-2 - -5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0.2. Let g be (-3)\/(-5*(-1365)\/(-350)). Let f be (1 - 0)\/(-4 + 1). What is the nearest to d in 2\/19, g, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:46 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 461955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n - n)*(-27*n**3 - 60*n**3 - 50*n**3).\nAnswer: 137*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 + -2.92. Let c = -36 + 34. What is the nearest to 1\/2 in -5, s, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11408*w - 11406*w + 12*m + 24 = 0, 10 = 4*w - 5*m for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-110)\/(-3) - 2) + (-4)\/(-12). Let j(i) = i + 3*i**2 + i + 6*i - a*i**3 - 7*i. Let s be j(-1). Calculate the greatest common divisor of s and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 + 25*u - 50. Let c be z(10). Let y be (-18)\/(-4)*-2 + c. Is -3 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 2 - 1\/60*b**5 + 0*b**4 + 0*b + 0*b**3 + b**2 + 1\/120*b**6. Let t(v) be the second derivative of r(v). Factor t(l).\nAnswer: l**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*d - 4. Sort d, -4, 0.\nAnswer: -4, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -377, -685, -1083, -1577, -2173, -2877, -3695?\nAnswer: -4633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*u - 11*h + 9*h, 4*u + 2 = -5*h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.06, 2, 37, 0.4, -0.3 in decreasing order.\nAnswer: 37, 2, 0.4, -0.06, -0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.1, 12\/7, -0.8 in decreasing order.\nAnswer: 12\/7, 0.5, 0.1, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u - 44. Let d(m) = m**3 + 7*m**2 + 17*m + 40. Let r be d(-5). Let l be (-2)\/8 + (-21)\/(-4). Solve g + u = l*v, 0 = -r*g + v + 6 + 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(5\/13)*p**16 assuming p is positive.\nAnswer: p**(226\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 131 + 5 = 0. Let r = 116 + o. List the prime factors of r.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - u - 2. Let h(c) = -c**2 + 3. Let g(s) = -4*b(s) - 5*h(s). What is the units digit of g(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3097477 and 172113?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3785, 3788, 3791, 3794, 3797?\nAnswer: 3800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) 508.9 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 8*z + 106. Let o be w(-7). Suppose -16*t + 11*t = -205. Calculate the highest common factor of o and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 27 (b) -16 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 + 23*p - 10. Let r be f(11). Is 5\/179 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 792 = 41554*j - 41590*j for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.31 (b) -0.3 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**2 - 3*m - 29. Let w(f) = f**2 + f + 10. Calculate 6*j(y) + 17*w(y).\nAnswer: -y**2 - y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 94248 or 94245?\nAnswer: 94248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihyyhhyihyyhihy. What is prob of picking 3 i?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 3 = -4*a. What is the nearest to 1 in 1\/4, a, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 + -36. Suppose -3*v + 193 = s. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2582685 by 81.\nAnswer: -31885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 6:10 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 - 9.5. Let j = -10 - y. Let b = 2 + j. Is b at most as big as 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465583 + 55*m - 465583.\nAnswer: 55*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2 = -25. Solve -3*k = -w, -4*h = 3*k - 7*k + 20 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96*k**2 + 1 - 2*k - 62*k**2 + 95*k**2 to z*k + p + d*k**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-141 - (85 - 114)) + 77\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*s = -s - 19025644, 0 = j - 2*s + 4756411. Let q = j + 6708885. Let c = q - 892474. What is c rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -303, -284, -265, -246, -227, -208?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16815310 and 3710.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -172 (base 12) to base 10\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 + 40. What is the third smallest value in f, 0.3, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -664 or -694?\nAnswer: -664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**3 + 2*w**2 - 6*w. Let s be (-3)\/2*10\/15. Let b(v) = v**3 - v. Give s*x(m) + 6*b(m).\nAnswer: 2*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1002494\nAnswer: -1002494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6646)\/119628)\/(2\/(-510))?\nAnswer: 85\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -872667791, -872667792, -872667793, -872667794?\n\"Answer: -n - 872667790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3942*n - 9791. Calculate x(-2).\nAnswer: -1907","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104935, -1, -3, -2.\nAnswer: -3, -2, -1, 104935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -148.91 - -148. Round q to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -85, -111, -139, -169, -201, -235, -271?\n\"Answer: -l**2 - 23*l - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 34\/131127, -0.2 in ascending order.\nAnswer: -0.3, -0.2, 34\/131127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2)*(4 + 2 - 4)*(-2*f - 13*f - 9*f) - 12*f + 78 - 78 in the form n + l*f and give l.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14145?\nAnswer: 3, 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c - 33*c**3 - 29*c**3 + 9 + 65*c**3 - 9*c**2.\nAnswer: 3*(c - 3)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6807*t**5 + 16704372*t**4 + 10130523447*t**3 - 144301346682*t**2 + 508031790420*t - 447690264 = 0.\nAnswer: -1234, 2\/2269, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -221*b**6\/40 - 43*b**5\/60 + b**3\/6 - 1192*b**2. What is the third derivative of j(w) wrt w?\nAnswer: -3978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(2\/3)*l\/((l*l*l*l**(-5)*l*l)\/l))\/(l*l**2*l*l)**(-1\/40) assuming l is positive.\nAnswer: l**(83\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 9. Suppose 36 = -o + x*o. Suppose -5*s - 58 = -3*b, 60 + 12 = 5*b + 4*s. Calculate the least common multiple of b and o.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, s: 7, f: 1, b: 1}. What is prob of sequence sf?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 10) to base 13\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 2.6, 5, -27, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.9, -1\/3, 0.4 in increasing order.\nAnswer: -1\/3, 0.4, 5.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 738, 1535, 2332, 3129, 3926, 4723?\n\"Answer: 797*a - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - -33. Which is the closest to -1\/3? (a) m (b) -2\/19 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -236 (base 12) to base 15\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399 = 812*r - 793*r for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 10*r**2 - 17*r - 9. Give i(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 1 - (-10 - (10 + 4 - 12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 7 = -3*n, -3*n - n + 2*r = -6. What is the remainder when 1 is divided by ((-3)\/n)\/(12\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, 2205 in decreasing order.\nAnswer: 2205, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -31*t. Let l(k) = 199*k + 148*k - 377*k. Calculate g(l(m)).\nAnswer: 930*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 26852 and 248?\nAnswer: 26604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 318 = 74*u + 22. Solve -u*n - 6*v = -8*v, -3*n = -3*v + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*z - 0 + 2, -z = 5*o - 34. Let w be 5\/10 + o\/2. Suppose 65 = 5*a - f, -2*f + w + 10 = 2*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*p + 3*p + 545*p**3 - 1077*p**3 + 12*p + 4*p + 567*p**3 + 2*p.\nAnswer: 35*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 4*y = -4 + 3, 4*o - 2*y = 12 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**2 - 1\/3*b**3 + 3 + 4*b. Determine x(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 558600607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 297\/(-90))*5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13868.1 + 13868. Which is the closest to v? (a) 1\/10 (b) 72\/7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 326426860 and 17080?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 249.0239ml in litres?\nAnswer: 0.2490239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25387, -25402, -25415, -25426?\nAnswer: -25435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4778 or -4753?\nAnswer: -4778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a millennium in months?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -181 + 192 + 20*o - 1153*o**3 + o + 1127*o**3. Let b(i) = -5*i**3 + 412*i**2 - 412*i**2 + 4*i + 2. Determine -11*b(z) + 2*g(z).\nAnswer: 3*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 1308 (c) 6 (d) 51\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19179173 and 806.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/658965 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i*i\/i**(-5))*i)\/i)\/i)\/(i\/i**(4\/5)*i)*i**(-25)\/((i**(-1\/21)\/i)\/i) assuming i is positive.\nAnswer: i**(-3166\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + m - 10 = 0, 0 = -0*s - 5*s - 3*m + 26. Suppose 3*w + s = w, 2 = z + 5*w. Solve 2*t - z = 4*l, -4*l + 5*t = -1 + 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*r = 369*r - 10140 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwzwwvzz. Give prob of sequence zwvz.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -123? (a) 40 (b) 44 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 4 - 6 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 520 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -272, -2037, -6826, -16151, -31524, -54457?\nAnswer: -86462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 10*i = 5*h - 20, 2*i + 4 = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 16*q - 3 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(396) + -2).\nAnswer: -6*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 289\/51 + 2\/(-3). What is the greatest common factor of c and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 1199.\nAnswer: 10\/1199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2132 = -2*k - 24*k. Let v be (-4)\/k*(2 + 12)\/(-14). What is the nearest to v in -2\/7, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 7*b - 4. Let g be f(-5). Let z(a) = -5*a**3 + 6*a - 6. Let h = -2 - -4. Let w(x) = -h + 1 - x**3 + x + 0. What is g*w(t) - z(t)?\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, r: 2, g: 4, d: 1, x: 2}. Give prob of picking 1 d, 1 r, and 1 x.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.1 (b) -3\/5 (c) -0.2 (d) -649\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148660072 to the nearest integer?\nAnswer: 12193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 4:10 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**4 + 4*a**4 + a**4 + (0*a + 0*a - a**3)*(8*a - 2*a + 5*a) + (6*a - 3*a - 2*a)*(-2*a**3 + 1 - 1).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 4346*y - 4348*y = 9, 0 = 4*w - y + 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 14 = 13*s. Suppose -79 + 4 = s*u. Let y be (-15)\/u*(7 - 2). Solve 2*l - w = l + 3, 4*l + y*w = 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2187343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 10*a + 3. Let b be z(-7). Let n(w) = -14 + b*w**3 - 48*w**3 - w**2 + 23*w**3. Give n(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 87010.5 days?\nAnswer: 125295120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2196 - -2196. Let f(b) be the second derivative of -11\/10*b**5 + 0*b**4 + u - 1\/3*b**3 + 12*b + 11\/2*b**2. Find the first derivative of f(j) wrt j.\nAnswer: -66*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 215*n**2 + 2631*n - 614956. Calculate d(216).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u - 3. Suppose -6 = 2*y, -5*y = -4*p - 4*y + 19. Let x = -79 + 80. Let l(j) = 3 + 6*j - x - 17*j + 8*j. Determine p*g(h) + 5*l(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5268404993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 7*s - 2. Let n(a) = a**2 + a. Let t(j) = 4*n(j) + x(j). Give t(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 + 42*i**2 - 111*i + 77. Let g be y(18). Solve -g = 5*s + 4*n, -7*s + 3*s + n - 10 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 566803 (base 9) to base 5.\nAnswer: 41332021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07 + -3.07. Let y = -33 + 59. Let g be 4\/12*(-12)\/y. Which is the biggest value? (a) g (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 5 = -3*q. Solve -q*n = -3*p - 2*n + 6, 2*n = -5*p + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5591)\/(-1))\/(10 + -9). Suppose 1111 = 6*u - h. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 742499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 184562244 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10682, -85173, -287430, -681335, -1330770?\nAnswer: -2299617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3149*f + 3801*f + 12513*f + 12944*f as v + d*f and give d.\nAnswer: 26109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/2*660\/550?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 5:43 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 - 7*h - 1. Let x be o(6). Let d = x - 51. Is d smaller than -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -301 - -305. Calculate the highest common divisor of 14 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**3 - l**2 + 2*l - 6. Let v be j(1). Let p be (-1 - 1) + v + -1. Sort p, -1, -0.5.\nAnswer: -1, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**5 - 5*l + 5*l + 1 + l**5 - 1 + (-l**3 + 0*l**3 + 2*l**3)*(-2*l**2 + 3*l**2 + 0*l**2) - 4*l**5 - 6 + 6.\nAnswer: -l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-15 + 2 - -1 - 3) + 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4512 (base 7) in base 3?\nAnswer: 2020020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2915*-23.5.\nAnswer: -68502.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -431*x + 6. Let k(j) = j**2 + 24*j + 134. Let p be k(-9). What is the units digit of z(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**5\/110 - 35*w**4\/132 - 4*w**3\/11 + 3*w**2 - 27*w. Find a, given that r(a) = 0.\nAnswer: -1\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98 * -0.1\nAnswer: -9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2614695468?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/2739 and 131\/12.\nAnswer: 10956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 10*l = 90. Let n(r) = 3*r**2 - r. Let i be n(-1). Suppose 13 = -i*p + 157. What is the highest common divisor of p and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**2 - 3542*h + 14200 = 0.\nAnswer: -1775, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630560 is divided by 102.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (27816\/171)\/61*6\/(-4). Suppose -w - 4 - 30 = 3*c, -2*c = -4*w + 18. Put c, -3\/5, 1, y in decreasing order.\nAnswer: 1, -3\/5, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.274 - 1.284. Which is the closest to -2.2? (a) y (b) -0.3 (c) 0 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 - 3*s**2 + s**2 + 2*s.\nAnswer: -4*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13264 and 1313136?\nAnswer: 1313136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 725598 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 5*w - 2*w)*(-w + w + w**2) + 2279*w**3 - 5093*w**3 + 2531*w**3 in the form t*w**3 + x*w**2 + q*w + c and give t.\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7056.995 years to months.\nAnswer: 84683.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/32364 and 131\/6138?\nAnswer: 356004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2057) + sqrt(2057) + 1 + sqrt(2057) - (sqrt(272) + -1 + -4 - sqrt(272))**2.\nAnswer: -25 + 33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (370\/(-364) + 1)*(-604)\/(-34881). Is -1 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 3 - 735*c**2 - 3 - 449*c**3 + 749*c**2.\nAnswer: -449*c**3 + 14*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 18 = 2*t, -1550*m = -1553*m - 5*t + 52 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/2 + 179*b**3 + 713*b**2\/2 + 178*b.\nAnswer: b*(b + 1)**2*(b + 356)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83.03, -5, -3 in descending order.\nAnswer: 83.03, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4962442, -9924891, -14887338, -19849783?\nAnswer: -24812226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.67 + 115054.\nAnswer: 115056.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.963711 and 0.07.\nAnswer: -0.06745977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130167, 130191, 130233, 130293, 130371, 130467?\nAnswer: 130581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*2\/3*3\/1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, b: 3, a: 3, z: 2}. Give prob of picking 1 b, 1 a, and 1 z.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (5 - -6)) + 1 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1104\/1865 - -3\/373. Sort 0.4, 9, -0.8, r in increasing order.\nAnswer: -0.8, 0.4, r, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*r - 22848 = 203*r. Is 56 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j = 37*j - 11400000. What is j rounded to the nearest 100000?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 14 = 3*x, 3*x + 12*h - 14*h - 10 = 0. What is the third smallest value in 1, x, -5\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20486205 and 1440.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*(15\/(-3))\/((-595)\/17)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 758 is divided by 183.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 540\/2700*(4\/(-4))\/(3\/915)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*q**2 + 5863*q**2 - 1714*q**2 + 5627*q**2 + 5118*q**2 in the form r*q + o*q**2 + k and give o.\nAnswer: 14810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.18 - -0.68. What is the smallest value in a, 0.1, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-64)\/(-6))\/4)\/(4\/6). Suppose -4*v - 2*n - r = -14, -n = -4*v + 1. Solve -v = -q + l + 2*l, -9 = q + 2*l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/168885 or 1?\nAnswer: -17\/168885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*t + 30 = -0*t, 0 = -2*y - t - 9. Let w be (-1)\/(-6*(-1)\/(-2)). Sort w, y, 0 in descending order.\nAnswer: w, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50.58 and -12.\nAnswer: 606.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -6*(-3)\/6 - (-13 - 4952 - -5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162 and 243.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3) + (-1778693)\/(-21). What is t rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1733813 minus -0.1?\nAnswer: -1733812.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + z - 89 = 0, 2*k - k - 32 = -3*z. Calculate the highest common divisor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8385311, -16770627, -25155943, -33541259, -41926575, -50311891?\nAnswer: -58697207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-1*228\/(-228).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 8735881?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1252*y**3 - 632*y**3 - 638*y**3 + 10*y.\nAnswer: -18*y**3 + 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -83*g + 818. What is v(13)?\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 9*i + 6. Let p(h) = -h**2 + 8*h + 5. Let n(a) = -2*m(a) + 3*p(a). Let j(d) = 9*d**2 - 11*d - 6. Calculate -6*j(o) - 11*n(o).\nAnswer: o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 112 = 3*x, -w = -4*x - 3*w + 146. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 7. Let z be n(0). Let m = -2 + z. Let p be (11\/22)\/((-2)\/(-16)). What is the nearest to 0 in m, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/95 (b) -0.4 (c) -2\/11 (d) -5 (e) 0.16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4139 = 315*v + 2932 - 1401 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - -42. Let a = i + -65.04. Let y = a - 0.9878. Round y to three decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - h + (-3 + 2 + 0)*(0 + 0 + 2*h) + 2*h + h - h - 88*h - 3410*h - 1393*h.\nAnswer: -4892*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4844102?\nAnswer: 2, 29, 47, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4290a - 191?\nAnswer: -42aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2))**44*(f**(-2))**(-9\/8) assuming f is positive.\nAnswer: f**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-16\/7)\/b)\/b**38 assuming b is positive.\nAnswer: b**(-282\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 4709250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/8*3*2\/(-12)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282*w = 276*w + 168. Sort 4, w, -2 in ascending order.\nAnswer: -2, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 + j**2 + 8*j + 4. Suppose 414 = -169*f + 1090. Determine d(f).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 12:25 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 + 8*f. Let t be l(2). Solve 0 = -2*w + 4*h - 18, 0*w - 3*w = h - t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 7:36 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 12 = 9*s. Suppose -4*a + 226 = -2*j, -440 = 9*j - 5*j - s*a. Is j less than or equal to -108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19337\/8 - 2417. What is the fourth biggest value in 0.1, h, -0.07, 26\/3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7)**(-23\/5)\/((v\/v**(2\/15))\/(v**2*v)) assuming v is positive.\nAnswer: v**(-451\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 788 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1294?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 + 80. Put -1\/3, 2\/5, b, 0.3 in increasing order.\nAnswer: -1\/3, b, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide ((-1446)\/9)\/(-2) - 4\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2748.79316 and 2.\nAnswer: 2750.79316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10615 + 10614.8. Which is the nearest to -1? (a) f (b) 0.3 (c) 1 (d) -2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 4 + 8 - (7 - (-17 - -37))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1049443 (base 13) to base 9\nAnswer: -10301871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 136318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - ((-67 - -93) + 16)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -3. Suppose r = -u*f + 691, 2307 + 1094 = 5*r + 2*f. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 41781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 198\/444 + ((-12)\/74)\/(5 - 8). Suppose -7*t + 0 - 2*t**3 + 19\/2*t**2 - q*t**4 = 0. What is t?\nAnswer: -7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100426512.\nAnswer: 2, 3, 283, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from {k: 1, t: 1, e: 5, v: 1, a: 1}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.561 - 37.561. Which is the third smallest value? (a) 0.1 (b) f (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 9*g - 7 = -5*g, 5*g = 2*c - 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 440201 to the power of 1\/2, to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 127, 142, 155, 166?\n\"Answer: -c**2 + 18*c + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*i**2 + 1318*i - 10*i**4 - 1319*i + 5*i**2 - 3*i**3 + 7*i**3 - 8 + 11*i**2 as q*i**2 + a*i**3 + n*i + v*i**4 + l and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 9*x**2 - 15*x - 5. Let t(h) = 9*h + 122. Let z be t(-13). Let m be p(z). Solve m*o - 8*o = -24 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 + -28. Calculate the least common multiple of f and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 * 6.2\nAnswer: -130.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24277*o**4 - 12*o**2 + 1010*o wrt o?\nAnswer: -582648*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 51. Let p(a) = 3*a. Calculate p(c(r)).\nAnswer: -3*r + 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/8)\/((-1905)\/(-20574))\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -10*u**2 - u + 4. Let m(r) = 3*r**2 + 2*r - 1. Let z(n) = -d(n) - 3*m(n). Let y be (1 + (0 - 0))*5. Let a be z(y). Does a = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 138 = 543. What is the greatest common factor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 x when two letters picked without replacement from zzzzzzzzzxy.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s. Let g(n) be the third derivative of 0 + n**2 + 0*n**3 + 0*n + 1\/12*n**4. Give m(g(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -44, -104, -188, -296, -428?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*a**3 - 68*a**3 + 36*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 945?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 4*b**2 - 3*b - 1. Suppose -h - 8 = -2*r, 0 = 2*h - r + 15 - 5. Calculate s(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5085 or 636\/13?\nAnswer: -5085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s**3 - 3*s**2 - 48*s - 6. Let m(v) = -v**3 - 2*v - 1. Determine 6*m(b) - q(b).\nAnswer: 2*b**3 + 3*b**2 + 36*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + -4002?\nAnswer: -3aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8015 is divided by 1334.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 14 + -10)\/(-71)?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 209 and 781?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8318 - -8335. What is the highest common divisor of b and 2176?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 658029519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15507.9999979194 - -15508. What is i rounded to 7 dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + 12055\/(-342) + (-4)\/(-18)?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80890553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 8*s**2 - 10*s + 2. Let v be l(9). Let u = 7 + v. Let i be -1 - -7 - (-6 + 3). Sort u, -5, i in descending order.\nAnswer: i, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d - 14. Let u be p(-2). What is the units digit of -4*1\/u - (-428)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -137*r**2 - 5*r + 10. Let f(a) = -30003*a**2 - 1096*a + 2192. Calculate 5*f(z) - 1096*w(z).\nAnswer: 137*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2\/9 (b) -2.69 (c) 5 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6022 - 5998. Are w and 254\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = q - 6, 15 = c + 3*q. Suppose -2*s + c*s + 4*j + 22 = 0, -15 = -5*j. Let b = -12 + s. Is 5 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-48))\/((345\/(-207))\/(1\/1)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -19*y**2 - 5. Calculate x(2).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 3:07 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3076.\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72699?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 38*r**4 - 1005*r**3 + 4302*r**2 - 1159*r + 3. Let d(v) = 75*v**4 - 2005*v**3 + 8605*v**2 - 2315*v + 5. Let n(s) = -5*c(s) + 3*d(s). Factor n(x).\nAnswer: 5*x*(x - 23)*(x - 5)*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y**3 - 2*y**2 + 1. Let x be g(-1). Let s be 9\/12*(-120)\/45 + 5. Suppose -s + 0*f + 14 + 4 + x*f**2 + 20*f = 0. Calculate f.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 263 - 99 - 7*m**3 + 6*m**3 - 100.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*r**2 - 3*r - 4*r + 1 + 7*r to g + a*r + l*r**2 and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 2*t + 15. Let r be w(5). Suppose 3*s = -r + 3. Solve 0 = 5*p - 3*n - 20, n = 4*p - s - 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2809.4 and -0.31.\nAnswer: 870.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -5*c - 28, b = 17*c - 11*c + 27 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -190*s**3 + 3*s**2 - 18*s. Let o(c) = -380*c**3 + 5*c**2 - 39*c. Let n(p) = -4*o(p) + 9*t(p). What is the third derivative of n(q) wrt q?\nAnswer: -1140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*((q\/q**(4\/7))\/q)\/q)\/q)*q\/q**(1\/6))\/((q\/(q**2\/q))\/q*q\/q**(5\/2)))**(-37) assuming q is positive.\nAnswer: q**(-4588\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -58 and 0.03.\nAnswer: -1.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*f**4 - 242052*f**3 - 5240707*f**2 - 12684360*f - 8169392 = 0. Calculate f.\nAnswer: -26873, -19, -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5671302 is divided by 19692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 343*c**2 - 23871*c - 2204. Determine l(-246).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from tvvrvcrpvvvvvcvrv.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9*u - 23. Let w be q(17). Let k = -15 + w. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.08, -2\/93, -5, 17\/3, 2, -1\/3, -0.1?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 13, k: 5}. Give prob of picking 2 k and 2 q.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 17 + 30)*(0*t + 0*t - 4*t)*((0 - 1 + 2)*(-1 + 1 + 3) - 2 - 3 + 3) as s + z*t and give z.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 7 - 19)*(38*d + 41*d - 44*d) + 4*d + 0*d - 2*d + (-2 - 2 + 2)*(2*d + 0 + 0) - 1 - d + 1 to the form q + p*d and give p.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + p. Let y be q(1). Suppose y = -r - r + 2. Let s = 3 - 0. What is the second biggest value in -2\/9, r, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 722 and 304?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 790*r + 28197 = -128*r - 1251*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56 - (-27 - -17 - 9)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - -1)*(-713)\/(-62) - -4. Suppose -2*m + y - 20 = 0. What is the remainder when 162 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 229180 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1090559252*b + 913951366 wrt b.\nAnswer: -1090559252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 5451?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 391166489 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 520400 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7439*d - 12235*d - 18894*d - 16899*d.\nAnswer: -40589*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 3*c - 93, -278*d + 281*d - 105 = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**3 + 13*q**2 + 4*q + 1. Let t be w(-6). Let d(f) = -6*f - 7*f**2 + 22*f**2 - f**3 + 3*f - 14 - 15*f. Is 30 a factor of d(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(1\/(-1))*(-39)\/117\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207235?\nAnswer: 5, 7, 31, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -13*v - 2. Let q be (-36)\/(-27)*9\/(-2). Let s(p) = -p**3 - 7*p**2 - 4*p + 3. Let u be s(q). Is t(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62474, 2, 0, -5 in descending order.\nAnswer: 2, 0, -5, -62474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 13 = -3*k - 5*g, k - g + 9 = 0. Let l be 6*(-6)\/k - 1. Suppose 3*i = 4*t + 25 - 6, 4*t - l = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**3 + 7700554*h**2 + 123209248*h + 492837504 = 0?\nAnswer: -8, 3850293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -61*w + 1911. Determine c(32).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -15 + 17 - 10\/5. Let r(f) = f**3 + 2*f. Determine r(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 9.8. Let f = -10 + z. What is the nearest to 2 in f, 5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1100) + 3 - sqrt(11)) + -5.\nAnswer: 7 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 1:23 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-24))\/((-1)\/6*(-1017)\/6780)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*o**2 - 18*o**2 - 4*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13673563 (base 9) in base 10?\nAnswer: 6780162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/7)\/((-112)\/(740096\/118)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6322)\/(-436))\/(2\/(-4)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -130421343 + 113?\nAnswer: -130421230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 13, -2\/15, -1\/4, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 366\/72 - 2800\/560?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from ttttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z - 3061 = -2881 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.23 + 5.13. Which is greater: r or 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z - 2*z - 2*z + 3*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5277?\nAnswer: 3, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from aeamemejade.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/2)\/(92\/5530120)?\nAnswer: 5, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 greater than or equal to -1190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/6*39\/26. Solve -w*d - 12 = 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -153*t**4\/4 - t**3\/3 + 117*t**2\/2 + 553*t. Find the second derivative of r(s) wrt s.\nAnswer: -918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**2)**(2\/11)*(m**(-1\/4))**(-13\/2) assuming m is positive.\nAnswer: m**(191\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 2*s**2 - s + 1. Let w be i(-2). Let b = 1 - w. Let t = -3 + -2. What is the biggest value in b, t, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2523*d**2 + 8662*d**2 - 130*d**2.\nAnswer: 6009*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -2, 5\/128?\nAnswer: 5\/128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10561644*q**3 + 20185757 wrt q.\nAnswer: -31684932*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1674636*p + 8241621 wrt p?\nAnswer: -1674636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2 - 3 + 8 + h**2 - 5 - h. Let y be c(1). Let z(b) = -2 - 2 - b + y. Determine z(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*h - 80 = 2*r, -4*h = -r + 36. Let n = -19 + r. Suppose -15 = -2*y - y. Solve y*u - 16 = -n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 357 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t. Let r be (-2 - (-2 - -1)) + 2. Give w(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -41*d + 145. Suppose 3*q - 6 - 3 = 0. Solve -v = -2*y + 4, -2*y + q*v = y - d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*4\/108*-1\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 9956.87 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (((-27)\/12)\/(-9))\/((-2)\/134) and -15\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 147*k + 9 - 9 - 77*k - 71*k. Let r(p) = 610*p. Calculate c(r(g)).\nAnswer: -610*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -1596 and -198 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1883*t = 1895*t + 24. Sort -2\/629, t, -4, -3\/4 in descending order.\nAnswer: -2\/629, -3\/4, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -133.\nAnswer: 3\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*z + 50*z - 25*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*o + u, -2*o + 2*u = 2*o - 32. Let z = 342.5 + -343. What is the second biggest value in o, z, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*f + 13. Calculate the lowest common multiple of 18 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**2 + 13*r + 12. Let c be b(4). Sort c, 5, -1 in decreasing order.\nAnswer: 5, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2570607751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, -1\/4, 2, -0.09187, 18\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2208 + 3472. Are 1263 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5202.12055 rounded to 0 dps?\nAnswer: -5202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.8 + -3.2. Let q = -3 + j. Let n = q - -23.03. Which is greater: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (0 + sqrt(1584) - sqrt(1584)))**2 - (sqrt(11) + -3 + -1*sqrt(11) + (-2*sqrt(11)*5)**2)) + 4 + (sqrt(396) + (2*sqrt(396)*3)**2 + sqrt(396))*-3.\nAnswer: -43861 - 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.09 (b) 20 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, 2\/3, 2\/5, 2133, -5, -6, 6 in increasing order.\nAnswer: -6, -5, 2\/5, 2\/3, 1.4, 6, 2133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-3 + sqrt(10)\/sqrt(2))**2 - (sqrt(5) - (2*sqrt(10)\/sqrt(2))**2)).\nAnswer: -7*sqrt(5) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -10. Let u = -1 - c. Suppose u = -2*z + 17 + 1. Calculate the greatest common factor of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60686 is divided by 56784.\nAnswer: 3902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 4*i + 3. Determine v(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 4:43 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 2*h - 5*h. Let v(p) be the third derivative of p**6\/72 + 2*p**3\/3 + 5*p**2. Let y(i) be the first derivative of v(i). Give y(s(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*z + 30 = 0, -15*w - 15 = -16*w - 2*z. Suppose 4*x = 4*b - 748, w*x = 2*b + 9*x - 392. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 10*l + 58017960. Let j = -152245 - l. Round j to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**30*(((h*(h*h*h**(-20)*h)\/h)\/h)\/h)\/h assuming h is positive.\nAnswer: h**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((-2*(sqrt(396) + -1) - sqrt(396)) + 2) - ((2*sqrt(363))\/sqrt(11))\/(sqrt(3) + (sqrt(3) + sqrt(27) + sqrt(3))*2)) + 0)**2.\nAnswer: -39680*sqrt(11)\/11 + 988464\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -14 + 33 + -34 + 22.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 257 + -310046?\nAnswer: -307567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 13, r: 5}?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.6 + -3. Let f be (-2)\/(16*(-4)\/(-12))*39\/117. Which is the second biggest value? (a) t (b) -6 (c) f (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 3 + 9 = -3*o, -6 = 3*o + l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 54, 76, 96?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 7*w - 18*w + 30*w + 6 = -2*z, -2*w = -8*z + 4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36689\/2 in 3, -5, -0.06, 1\/20?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 20, -7 in decreasing order.\nAnswer: 20, 16, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 16 = -4. Let h be 4*(-1)\/s*-20. Suppose l = -l + h. Solve 3*r - 2 = c, -r + 3*r + l = -4*c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - i. Suppose -5*y + 4*v = -v - 20, i = 5*v. Suppose -y = -2*o + 60. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + d = -30, 4*d - 5*d = -3*z + 23. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 9. Suppose o - 1 = 0, 13 = -4*c + o - t. Let h(j) = -2*j**3 - 10*j**2 - 9*j - 5. Let q be h(-4). Sort c, q, -0.2 in descending order.\nAnswer: -0.2, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvmvvmvvmm. What is prob of picking 2 v and 1 m?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 2, -1, -1\/3, 5, 6 in descending order.\nAnswer: 6, 5, 2, -1\/5, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*d**2 - 9*d**2 - 5*d**2 to i*d**2 + a*d + m and give i.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -9*j**3 + j - 1. Let g be b(1). Let d = g - -16. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 1\/6*r**3 - r + 0*r**2 + 0 + 1\/12*r**4. Determine i(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1266 rounded to three dps?\nAnswer: 0.127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.025413384 and -4.\nAnswer: 0.101653536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 385 by -11.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -399.4 * 29.\nAnswer: -11582.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8381\/(-290) + 29)*60.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1045, -2\/5, 0.06?\nAnswer: -1045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/8 - (-1)\/(-4). Suppose -4*t + 5*t = -d. Let a be t\/(-4) + 3\/4. Do a and -3\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1207, -4843, -10905, -19393, -30307, -43647?\n\"Answer: -1213*p**2 + 3*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.5 - 0.5. Which is the closest to -1? (a) 0 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 19. Which is the closest to -1\/2? (a) -0.1 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 + 3 + (3 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2, 0.11, 8, 0.2 in decreasing order.\nAnswer: 8, 0.3, 0.2, 0.11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 954\nAnswer: 3816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = 5*f + 15*a - 37995, -2*f + 15202 = 4*a. List the prime factors of f.\nAnswer: 71, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 977 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: Is 220887739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2957112195?\nAnswer: 3, 5, 739, 266767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1410205 (base 7) to base 10.\nAnswer: 187381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -14098?\nAnswer: 84588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44554596?\nAnswer: 2, 3, 541, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 3\/4*j**2 + 1\/6*j**3 + j + 2. Find m, given that v(m) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -6, 2, -8 in ascending order.\nAnswer: -8, -6, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-241 + l - 6*l**2 + 109 + 136)*(-3*l - 3*l + 5*l)*(2*l**2 + 0*l**2 + l**2).\nAnswer: 18*l**5 - 3*l**4 - 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 9. Let i = 6 - g. Let x = 11 - 6. Which is the nearest to 0? (a) x (b) -2\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3\/17 + 13282*u**2\/17 - 22489654*u\/17 + 1447785446\/17 = 0 for u.\nAnswer: 67, 3287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -315974726 + 470\nAnswer: -315974256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5\/2)*((d*(d**9\/d)\/d)\/d)\/d*(d*d*d\/d**(-14))**(-3) assuming d is positive.\nAnswer: d**(-95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q - 3*q**3 + 77 + 13 + 5*q**2 - 2*q**2 + 4*q**2 - 4*q**2. Let y be k(0). What is the greatest common divisor of 414 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39.337 + 0.203. Let f = 3.26 + j. What is f rounded to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(468) - (-3 + sqrt(468))) + 4)*-1*1 + 0)**2.\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-141)\/(-2))\/((-3)\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 343 (b) -4\/3 (c) -446\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 10*q**2 - q + 11. Let v be r(10). Let s be (v*(-8 - -2))\/(-2). Suppose 2*h = 4*y - 36, -5 = -3*y - 7*h + s*h. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 5 (c) -2.2 (d) 3.556\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55 - 107*a**3 + 58 + 100*a**3 - 4*a**4 to j*a**3 + h*a**2 + u + i*a**4 + z*a and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565092 is divided by 231.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 31\/13)*(-4)\/(-10).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106\/(-2438)*69\/(-6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4873.86 + -4?\nAnswer: 4869.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 31*i**2 - 20*i + 1720. Let z be w(32). Solve -1543*t + 1535*t - z = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11035?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116652424 (base 7) to base 15.\nAnswer: 9b4e5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -92\/15 and -89\/46190.\nAnswer: 138570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121110222210 (base 3) to base 4.\nAnswer: 1033030233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1744 - 1238 + 34*f + 315*f.\nAnswer: 349*f - 2982","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -738 - 132?\nAnswer: -871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -9 + (-5)\/(-9)*16. Put -0.5, w, -6 in decreasing order.\nAnswer: w, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 483 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 982468.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/9)\/(1*4). Suppose -g - 4*g - 3*x + 27 = 0, -3*g - 2*x + 17 = 0. Suppose 0 = 5*y - 2*y + g. Is d <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 23*x**2 - 21*x + 16. Calculate w(-22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*w - 72 = 4, -d - 2*w = -12. Let h = -183 + 300. What is the remainder when h is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 834 + 2232. Let m = 122629\/80 - g. What is the common denominator of m and 5\/8?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*2*27\/(-6). Let n = -7 - b. Let m = 26 - n. Calculate the remainder when 45 is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/60*(-255)\/(-6)*(-2)\/(-14)*-14.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22192 is divided by 584.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 121, -144 in ascending order.\nAnswer: -144, -2, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.6, 1\/3, -0.1, 0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**5 + 13*o**5 + 3*o**2 - 6*o**5 + 11*o**3 + 4*o**5 - 6*o**5 + o**5 + (-7*o**5 + 3*o**5 + 3*o**5)*(2 - 4 - 1).\nAnswer: 11*o**5 + 11*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (152\/(-12) - 1)*(-3)\/1. Suppose 2*r - 3*c = -3*r + f, -2*r + 3*c + 20 = 0. Is (-12246)\/(-26) + (-1 - r)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -2\/15 (c) 318 (d) 3 (e) -2\/3 (f) 2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696216.\nAnswer: 2, 3, 29009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 8*j + 19. What is the second derivative of -j*f - 25*f + 11 + 207*f**3 + 16*f**3 - 11 wrt f?\nAnswer: 1338*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d**(2\/13))*d)\/d*d*d*d**(-2\/17)*d)\/(d**(-7\/2)\/(d*(d*d\/d**0*d)\/d)) assuming d is positive.\nAnswer: d**(4521\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/7 of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 7*q + 13. Let r(b) = b**2 + 2. Determine -n(w) + 6*r(w).\nAnswer: 5*w**2 - 7*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 12677847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -1 - (-423 - -397) - 59.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 42*v + 12. Let j(l) = 92*l + 21. Let k(f) = 4*j(f) - 7*t(f). Let u(i) be the first derivative of -i**2\/2 + 17. Give u(k(d)).\nAnswer: -74*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - 4*i - 56. Determine c(8).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d. Let y(f) be the first derivative of -31*f**5\/60 - 271*f**2\/2 - 352. Let w(c) be the second derivative of y(c). What is w(h(l))?\nAnswer: -279*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 6*t = -2*l - 1, 25 = -5*t. Is l*(3 - (2 + (-68)\/(-3))) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 175 - 79. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95 + -94. Let i = 2 + -3. What is the nearest to i in 0.3, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12801, 5, 4 in descending order.\nAnswer: 12801, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2 - 3. Let o be (-13 + 3)*(-16)\/5. Suppose 0*r + 4*r = o. Solve -d*p + r = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -426 + -1.\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -2. Let k be -2*10\/(-4) - (-5)\/(-5). Suppose -l + p*l = k. Which is the third biggest value? (a) -0.3 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k. Let x(c) = -141462649*c. What is x(v(o))?\nAnswer: 141462649*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1323361009 to the nearest integer?\nAnswer: 36378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -374 + 577. Let m = -203 + w. Solve 0 = -m*g - 3*g + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7935685 rounded to three dps?\nAnswer: 3.794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 226 - 137. Let y(b) = -4*b + n - 89. Is 12 a factor of y(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14827 by -340.\nAnswer: -14827\/340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33068*j*s + 1740*s wrt j?\nAnswer: 33068*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - q**2 + q - 2. Let k(c) = 5*c**3 - 43*c**2 + 73*c - 18. Let r(p) = f(p) + k(p). Factor r(n).\nAnswer: 2*(n - 5)*(n - 2)*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17349942?\nAnswer: 2, 3, 2891657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -130 - 5?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 + -69. Put 0, m, 1, -1 in increasing order.\nAnswer: m, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-93)\/15 - 6\/(-30). Find the common denominator of -13\/9 and (-4195)\/350 + q\/(-21).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 5:57 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, -0.255, -0.3 in increasing order.\nAnswer: -0.3, -0.255, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 272643406 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -6439\nAnswer: -3\/6439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5575 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 19 = -24. Let c(p) = -w + 2 + 6*p**2 - 2*p - 4*p**2 + 0*p. Let o(n) = -n**3 - 3*n**2 - 4*n - 2. Let s be o(-2). Calculate c(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17339538 a multiple of 2013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -9)*(1 - 4)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) -1 (c) 4 (d) -18\/11 (e) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 + 9*o + 14. Let f be q(-4). Sort f, -5, 5 in decreasing order.\nAnswer: f, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 23*l**2 + 6*l - 6. Let g(o) = -437*o**2 - 115*o + 115. Calculate -115*f(q) - 6*g(q).\nAnswer: -23*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 + y - 1. Let g(z) = -3*z**2 - z + 1. Let x(f) = 2*g(f) + 2*k(f). Let w(s) be the third derivative of 11*s**5\/20 + 9*s**2. Calculate x(w(r)).\nAnswer: -2178*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a. Let b(t) be the first derivative of 12 + 0*t + 3\/2*t**2. Give b(p(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -170*o**3 - 6*o**2 + 12*o. Let v(f) = 169*f**3 + 5*f**2 - 10*f. Give -5*l(p) - 6*v(p).\nAnswer: -164*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 42605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, i: 3, o: 3, l: 2, a: 2, p: 2}. Give prob of picking 1 u and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15400413*v**3 - 1125*v**2 - 4667*v + 3 wrt v.\nAnswer: -92402478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (124*7\/112)\/(26\/66456) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 148 - 597 = 0. Suppose 20*s + 7*s - 594 = 0. Suppose f - p = -s. List the prime factors of f.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (9 + -9 + -11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/16*4*(-30)\/(-135)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1981 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2723 - 2722.922. Let z = 11 + -10.978. Let x = z + f. Put x, 2\/5, 0.5, 1 in descending order.\nAnswer: 1, 0.5, 2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246051 is divided by 122988.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 21*f - 33. Suppose -3*n + 5 = -4*q - 3, -3*n - 2*q + 32 = 0. Calculate the lowest common multiple of n and v(3).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7023 - (-11 + 23 + -11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4054.\nAnswer: 2, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 226238.7081 to the nearest ten.\nAnswer: 226240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -552 divided by 69\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26080\/13 - -2006. Sort 0.3, 1\/93, 2\/5, i.\nAnswer: i, 1\/93, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19, 147, 489, 1019, 1749, 2691, 3857?\n\"Answer: 2*h**3 + 76*h**2 - 76*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**6\/120 - b**5\/60 - b**4\/12 - b**3\/2 + b**2. Suppose 0 = 2*u - 3*z, -3*u = -3*z - 2 - 1. Calculate d(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 131490171*q**4 + 2182*q**2 - 242*q + 24 wrt q?\nAnswer: 3155764104*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66150 by -245.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 3)*(y + 0*y - 2*y) + (4 + 0 - 2)*(-3 + 0 - 1)*(-27*y + 5*y + 51*y) as p + q*y and give q.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-25)\/(-10)*8848\/20. Round u to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggrrrrrrggrrgrrrrrr. What is prob of picking 4 g?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p**3 + 6*p**2 - 2*p + 7. Let z = 72 - 78. Is y(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10229 and 572\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -249 (base 10) in base 15?\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6262696831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3964*y**3 + 291*y**2 + 5 wrt y?\nAnswer: -23784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*u**4 - 1)*(5*u - 60 - 57 + 119).\nAnswer: 10*u**5 + 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**4\/3 + 388*h**3 - 1166*h**2 + 94*h + 30. Factor b(x).\nAnswer: 4*(x - 1)*(x + 583)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and 38154 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391 a factor of 176794709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*m**2 - 101*m**2 - 99*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 k when two letters picked without replacement from ykynykkyyyykny?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -654784 (base 9) to base 15\nAnswer: -7ab3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*3\/(6\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10*3.19\nAnswer: -31.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*(-11)\/660)\/(308\/(-176)).\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 8:05 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 743211 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2 - 147783*z + 1329804 = 0.\nAnswer: 9, 49252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millennium in decades?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 27460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 - 82*d**2 + 2*d - 80. Let f be y(41). Let g = 721\/4 - 179. Which is greater: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -47*o**3 + o**2 - 5*o - 4. Suppose -5*y = -0*y - 45. What is the remainder when h(-1) is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10232131003 (base 4) to base 14\nAnswer: 243695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181692 is divided by 84346?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -148318, 4 in ascending order.\nAnswer: -148318, -0.02, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.6 + 6. Let g = p + 0.9. What is the nearest to 2\/3 in 0.1, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y. Let d be h(-4). Suppose d*s + 61 = 5*p, 2*s = -3*p + 38 + 3. Suppose -45 = -4*t - p. What is the highest common factor of t and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + 0 + 0 + sqrt(833) + sqrt(833))**2.\nAnswer: 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 2 - 5) + (-11 - (-46 - -12)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -301*(-323624)\/16145520 + -2. Let x = h + 2\/67273. What is the common denominator of 10\/129 and x?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5964, 11951, 17938?\n\"Answer: 5987*x - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from {x: 3, y: 5, q: 1, d: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*n - 15, -n + v + 5 = -0*v. Solve -10 - 5 = n*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 16 = 17. Calculate the common denominator of 103\/14 and h*-4 - 1107\/(-306).\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 738349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (21\/28)\/(6\/(-8))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - v - 4. Let x be m(0). Let w = -6 - x. Calculate the smallest common multiple of 10 and w\/((-2)\/21) + -1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**25 assuming l is positive.\nAnswer: l**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + 4*a - 16*a - 12*a.\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 6*p - 1051. Let v(d) = -20*d + 3127. Let w(b) = -7*c(b) - 2*v(b). Let x(u) = -3*u. Determine w(x(t)).\nAnswer: 6*t + 1103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from sxfmmgp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -15, 1, -4, 12, 2.\nAnswer: -15, -7, -4, 1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**2 - x + 7. Let r be w(-5). Let g be (4604\/(-8))\/(r\/(-18)). Let n = -682\/7 + g. What is the common denominator of n and -127\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.62 + -306\nAnswer: -302.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a centimeter in millimeters?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, k: 5, m: 4, v: 4, t: 2}. Give prob of picking 2 v and 1 k.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 30420 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -20052*h - 1203083. What is m(-60)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/2220 and -29\/2012?\nAnswer: 1116660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4124514 (base 6) in base 3?\nAnswer: -101001200001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**4\/4 + 14*p**3 + 432*p**2 - 826*p - 5. Factor g(w).\nAnswer: -3*(w - 36)*(w + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7178000 to the nearest one hundred thousand.\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1905715 + 1905715 - l**3 - 4*l.\nAnswer: -l**3 - 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 165?\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 542 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11569, 46513, 104815, 186475, 291493, 419869, 571603?\nAnswer: 746695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1882 + -309.7882. Let u = 310 + c. Put -0.1, 0, u in descending order.\nAnswer: u, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -a + 2 - 0, -2 = -3*g + a. Let t = 3 + g. Let b be (9\/(81\/(-6)))\/(-2). What is the smallest value in -3\/4, b, t?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 - 360 - 192 = 86*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q. Let b(z) = -42*z**2 - 4*z + 4. Let p(c) = 84*c**2 + 7*c - 7. Let r(m) = -7*b(m) - 4*p(m). Calculate r(x(a)).\nAnswer: -1050*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1065 is divided by 1028?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -133, 1, 5, 3 in increasing order.\nAnswer: -133, 1, 3, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 + 38*o**2 - 13)*(107 - 107 + 2*o**2) as g*o**3 + f*o + p + h*o**4 + m*o**2 and give h.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2\/3 - 86*c\/9 - 20\/3 = 0. What is c?\nAnswer: -2\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 14*f**2 + 4*f - 6. Let k(o) = -5*o**2 - o + 2. Let v(q) = 17*k(q) + 6*s(q). Let t be v(7). List the prime factors of 1\/2 + (-7)\/t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 19, 49, 93, 151, 223, 309?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025467671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0543824881 to three dps.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and 188.08.\nAnswer: 188.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w**2 - 6*w - 5. Let q(v) = -v**2 - v - 1. Let t(j) = -5*q(j) + r(j). Let i(c) = -c**2 + 2*c + 2. What is -i(x) - 4*t(x)?\nAnswer: -3*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7 and -170.32854113?\nAnswer: 177.32854113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 1:27 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -58286, -116551, -174826, -233117, -291430, -349771, -408146?\n\"Answer: -o**3 + o**2 - 58261*o - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 224145 by 17.\nAnswer: 13185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 - a**2 - 2*a**2)*(3*a**2 - 4*a**2 + 4*a**2) + a**4 - 2*a**4 + 0*a**4.\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2) + (-52)\/(-224)*4.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -22, -5, -11 in ascending order.\nAnswer: -22, -11, -5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1078)\/sqrt(2))**2 + (-3 + sqrt(704) + sqrt(11) - sqrt(11))*-6.\nAnswer: -48*sqrt(11) + 561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((-1160)\/(-2697))*((-5)\/6)\/(6\/12)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/1453, -1\/2, 7, 44\/3?\nAnswer: -2\/1453","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -524421301 (base 6) to base 2.\nAnswer: -100011000000110111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -25*z - 51 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671 is divided by 222.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 1. Let o = 18 - 23. Let j(s) = -s**3 + 4*s**2 - 2. Let k be j(4). Put x, o, k in increasing order.\nAnswer: o, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-195)\/(-234))\/((-8)\/12*15)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -746, -742, -732, -716?\n\"Answer: 3*d**2 - 5*d - 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-160) - (-6)\/16. Let p = 1 + 1. Let o be (p\/(-21))\/((-18)\/84). What is the closest to 5 in o, l, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -12*k**2 + 391*k + 3223. Calculate i(-8).\nAnswer: -673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2248.54ug?\nAnswer: 2.24854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 - 31*g**2 + 20*g + 56. Determine h(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(15) + (sqrt(15) - (sqrt(15) - sqrt(15)*1))) - sqrt(15))\/(-3*sqrt(27)).\nAnswer: 13*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(4*j + j - 3*j) + 5 + 10 + 229*j - 14.\nAnswer: 231*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gqqgoryykqqkggy. What is prob of sequence gkqg?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**3 + 12*v**2 - 31*v + 34. What is b(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -2\/7, 0.245, -1\/4, -0.02, 0, -6?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -352 + 321 + (58 - 2).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 13*f + 12. Suppose -g = 2*g - 36. Let m be l(g). Suppose k - 5*d - 230 = m, 0 = k - 4*k - 5*d + 630. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/194 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -199, -292, -383, -472, -559?\nAnswer: -644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.7895 + 9\nAnswer: 8.2105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -5, -1\/5, -2, 5 in increasing order.\nAnswer: -5, -2, -2\/7, -1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85 + (-135 - (45 + 0))?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/7)\/r*r*r**22)\/(r**(-4\/3))**(1\/22) assuming r is positive.\nAnswer: r**(5195\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.744 minus 1014800971?\nAnswer: -1014800937.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 517*u - 19037898 = -535*u + 326*u. What is the thousands digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4\/2 + 17605*g**3 - 35220*g**2.\nAnswer: 5*g**2*(g - 2)*(g + 7044)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v - 2 = -4*k, -4*v + 4 = -2*k. Suppose -3*y + 2 = -2*m, -3*m = -v*y + m + 4. What is the units digit of 13*(y - -1)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 807733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-9)\/a))\/a)**(-11\/6)*(a\/((a*a**(-18)*a)\/a*a))\/a*a\/((a**(-16)*a)\/a) assuming a is positive.\nAnswer: a**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aar when three letters picked without replacement from aararar?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or -10?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1610 and 66108440.\nAnswer: 462759080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/5, -0.4, 2, -0.09, 10.86?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c + 6. Let l(o) = 3*o + 11. Let n = -7 + 3. Let b be (-13)\/(-5) - n\/10. Let q(u) = b*l(u) - 5*i(u). Differentiate q(j) with respect to j.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-195)*-20*(-143)\/(-66).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250580, 250603, 250626?\nAnswer: 250649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23175, -23391, -23743, -24225, -24831, -25555, -26391, -27333?\n\"Answer: o**3 - 74*o**2 - o - 23101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u. Suppose 3*d - s = 1, 0 = d - u*d + 4*s - 22. Solve 5*l + 12 = -p, d*l + 2 + 4 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7*o**2 - 3*o + 2. Let k(m) = -m. What is b(f) - 4*k(f)?\nAnswer: -7*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.58*-0.5.\nAnswer: -2.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 806809 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*p - 235551 = 0, -3*p = -4*a - 9*a + 765406. List the prime factors of a.\nAnswer: 97, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1492 is divided by 278?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -22*d**2 + 12 + 21*d**2 - 2*d + d. Let q be w(3). Let i(t) = t**3 - t**2 - t + 2. What is i(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*x + 18. Suppose -o - 2*d = -7, -d - 12 = -x*o - 4*d. Let j be -2 - (3\/(-1) - o). Solve -j = 2*g - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 15*g**2 + 35*g + 32. Suppose -i + 12 = -168. Suppose a = 11*a - i. Calculate the lowest common multiple of a and f(12).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w - 2. Let t be k(-1). Suppose -2*o = j - 6*o + 127, 3*j + 4*o + 445 = t. Let m = j + 349. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.14, -12, -330, 2, -3 in decreasing order.\nAnswer: 2, -0.14, -3, -12, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15865060 is divided by 721139?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130786*a + 130775*a - 392352*a + 130794*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.14 - -10.14. What is the nearest to 1\/4 in -3\/10, 0.1, u, -1\/19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.9229938 nanometers in micrometers?\nAnswer: 0.0009229938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - 2 - ((-11 - -10) + -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -0.5. Let l = r + -0.5. Suppose -48*u + 404 - 62 = -162*u. What is the second biggest value in -8, l, u, 4\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33826?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 96*x + 5619. Let a be h(137). Solve a = 3*r + i, r + 136*i = 137*i - 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 12*y**2 + 10*y - 11. Let c be b(-11). Is 237\/(2 - c - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**4\/12 - 4*k**3\/3 + 7*k**2\/2 - 3*k. Let y be n(10). Suppose t - 5*b + 2*b - 6 = 0, 0 = -2*t + 3*b + y. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*k**3 + 516*k**2 - 2304*k + 2384 = 0. What is k?\nAnswer: -149\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 14056.386 - -0.3\nAnswer: 14056.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 2:41 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -710088 at least -710096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -18*t**2 + 4*t - 5. Let d(j) = -19*j**2 + 5*j - 6. Let v(h) = -12*h**2 + 158*h - 21. Let b be v(13). Determine b*y(f) - 4*d(f).\nAnswer: -14*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + d - 6*d)*(-2*d - 2*d + 3*d + (2 + 4 - 4)*(3 + 2*d - 3)) as g + r*d**2 + i*d and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6049.\nAnswer: 23, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 22 = 13*r. Let m(x) = -x**2 + 6*x + 6. Let q = -4 + 9. Let z(n) = 3*n**2 - 11*n - 12. Let g(a) = q*m(a) + r*z(a). Give g(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*n + 3*n + 15*n + 38 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.048, 2\/13, 2\/39, 0 in increasing order.\nAnswer: 0, 0.048, 2\/39, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-63))\/((-1)\/(14\/(-8)))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12220886 is divided by 76.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -89, -3380 in descending order.\nAnswer: -45, -89, -3380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2391*z + 15*z**4 - 163 + 51 + 59 - 10*z**5 + 51 + 14*z**5 wrt z.\nAnswer: 80*z**3 + 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.92 less than -3598.46?\nAnswer: -3597.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3. Let a(w) = 5. Let d(c) = 4*a(c) + 7*r(c). Let m(q) = 11*q - 1. Let i(l) = 2*d(l) - m(l). Calculate the remainder when 38 is divided by i(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/9 and -4194 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -137 * -2510.6\nAnswer: 343952.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 10:52 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 - (-26 + -44 + 7 + 26).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 63?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -146397942 minus -4?\nAnswer: -146397938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-14 - -1) + -11?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 + 82824*b**2 - 3980736*b + 47789568.\nAnswer: 3*(b - 24)**2*(b + 27656)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 318969 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -28617 divided by 3\nAnswer: -9539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 630 and 189?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(343) + sqrt(63)*-4.\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {s: 3, a: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from eqostodqtddosq?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(243) - ((1 + sqrt(243) + sqrt(243) - sqrt(243)) + sqrt(243) + sqrt(243))) + -1)**2 + -2.\nAnswer: 72*sqrt(3) + 3887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (69 - 1)*2\/8. Let y = -7 + i. What is the highest common divisor of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((2*sqrt(144))\/sqrt(6)*-4)\/((2*(sqrt(16) + 3*sqrt(16)) - sqrt(16))\/sqrt(2)).\nAnswer: -4 - 8*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 121043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l = 48*l + 28. What is the closest to -0.04 in 0.17, 5, l?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 14*v - 101. Calculate l(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 15*a - 52. Calculate r(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7600?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 70709 to the power of 1\/2, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 5:00 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + (-2*(sqrt(192) + 1)*3 + -3)**2 + -3).\nAnswer: 5184*sqrt(3) + 41916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40852a (base 13) to base 7.\nAnswer: -15531521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 22 + 63 + -69 - (29 + (0 - 2)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-30)\/14)\/(-5)*(-63 + 62). Let m = -0.1 + 0.21. Which is the third biggest value? (a) -3 (b) m (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-41888)\/(-82467) - (-1 - 1)\/(-1*9). Let o be 0 - (2 + -2 - 1). Suppose 2*y - 4*y - 10 = 0. What is the third biggest value in o, v, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1188)*-4 - sqrt(1188))\/(sqrt(3) + sqrt(18)\/sqrt(6)*1).\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132799 by 20.\nAnswer: 132799\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i - 3*i)*(-4 + 10 + 13) + i + 2*i - 7*i.\nAnswer: -42*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41660 by -20830.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -152 + 224 - (-52 + 70).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -10*i - 12. Suppose -4*v - 26 = -2*f, -3*f + 15 = -3*v - 12. List the prime factors of m(v).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39c - 4?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n + 2. Let m(h) be the second derivative of h**4\/12 + 32*h. Let c(g) = -g**2. Let p(b) = 5*c(b) + 3*m(b). Give j(p(q)).\nAnswer: 6*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*d + 3. Solve n + 0*n = -d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9837 - 9818. Solve 0 = 4*p - 20, 3*h - 12 = -q*p + 16*p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-13)*t)\/(t**(-1\/5)\/t)*((t\/((t\/(t**(2\/29)*t))\/t))\/t)\/t*t**(-3\/2))**(-46) assuming t is positive.\nAnswer: t**(81581\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -35\/3, 2, -0.5, -0.3, 1.\nAnswer: -35\/3, -0.5, -0.3, -1\/6, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.0066 (b) 12\/3023 (c) -2\/7 (d) 3\/2 (e) 3\/4 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-710)\/230 - -3*1) + (-2246772)\/(-1518). Calculate the highest common factor of c and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x + x**3 + 0*x + 7*x**2 + x - 6. Let t be w(-7). Suppose -3*c + t - 2 = 0. Solve -r + s + 4*s + c = 0, -2 = -r + 4*s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -451 in ascending order.\nAnswer: -451, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7239 and 14097?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*k + 15 - 161 = 0, 0 = k - 1. What is the remainder when a is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 + 97. Let s = -18 + 67. Let q be (-2 + s)*1 - 2. Calculate the greatest common factor of q and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -9*r**2 + 37*r + 3. Let b(u) = -8*u**2 + 32*u + 2. Give 3*b(t) - 2*j(t).\nAnswer: -6*t**2 + 22*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 + -67. What is the smallest common multiple of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/5 + (30\/24 - 0).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-three tenths of a gram?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 230180940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -829*w + 1406*w - 925*w + 43500 = 0 for w.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 95423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 795, 6392, 21565, 51102, 99791, 172420, 273777?\n\"Answer: 798*r**3 + 11*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*p**2 + 140*p - 44*p**2 - 133*p - 15 + 24*p**2 to x + f*p + i*p**2 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 361*i**2 + 432*i**2 - 538*i**2.\nAnswer: 255*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -31.7.\nAnswer: 12.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-4\/3))**(-11\/3)\/(w**(1\/8))**(-4\/7))**(-22) assuming w is positive.\nAnswer: w**(-1793\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-three fifths of a century?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f1 - -7312?\nAnswer: 7403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -10*g + 26. Let y(a) = 3*a - 9. Give -5*d(o) - 14*y(o).\nAnswer: 8*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 13*d + 14. Let u be x(-12). Suppose -f = 2*f + 2*i - 14, u*i = 8. What is the derivative of 0*a**f - 12 - 15*a**4 + 0*a**2 + 25 wrt a?\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 10*j - 6. Let y = -65 + 76. What is o(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.23? (a) -6 (b) -2\/17 (c) 2\/9 (d) 1\/45745\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 82*y**3 + 619*y**2\/2 - 48*y - 4. Find the first derivative of g(b) wrt b.\nAnswer: 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u - 2*u + 4*u)*(-3*u + 4*u + 6*u)*(-2 + 0 + 0)*(-7*u + 7*u - 2*u**2 + 4) as r*u**4 + o*u**2 + t*u + x + k*u**3 and give o.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 + 2*h**2 - 1. Let a be z(-1). Solve 0 = -a*g - 5*p + 37, -4*g - 3*p = -4*p - 11 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -819 = 2*p - 5*p. What is the greatest common factor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30, -41, -64, -105, -170, -265, -396, -569?\n\"Answer: -m**3 - 4*m - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (1*sqrt(9))\/sqrt(3) + sqrt(3) + (sqrt(3) - (sqrt(3) - -1*sqrt(9)\/sqrt(3))**2).\nAnswer: -12 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 20*k**2 + k + 23. Suppose -2*d - 5*p - 33 = -48, -d = -4*p + 12. Suppose 11*t - 8 + 228 = d. Give x(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1191, 1575, 2215, 3111?\nAnswer: 4263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/2 of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y + 4*y - 13*y + 4*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 2*n = -9, 5*a - 4514 = 5*n - 4484 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a micrometer in nanometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*s = 0, -3*d + 2*s - 12 = -d. What are the prime factors of d\/(-3)*(-1 + 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 - 140*r**3 - 1380*r**2 - 2160*r.\nAnswer: 5*r*(r - 36)*(r + 2)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/6)\/((-2)\/(-30)). Suppose t = 5*h - 21, -4*h + y*t + 21 = -0*t. Let b be ((-2)\/4)\/(h\/(-48)). Solve -v = -c + 1 + b, 5*c = -3*v + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrrbnangbbrg. What is prob of sequence nmb?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (32 - 8) - -4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1008)\/(-73920) - (-15)\/110?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 915*c - 433*c - 487*c. Let s(r) = 86*r**2 + 7. What is g(s(v))?\nAnswer: -430*v**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o + 1038 = 175*o - 66. Calculate the remainder when 3646 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-340)\/(-595) + 748\/14. What is the highest common factor of 288 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -104*b. Let x(v) = -8*v. Give 5*q(u) - 64*x(u).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**3 + 14*b**2 + 17*b + 36. Give n(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 109 - 109. Which is the smallest value? (a) v (b) -4\/9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 302 + -1235\/4. Let b(j) = -3*j - 7. Let q be b(-3). What is the common denominator of s and -1 + q - 725\/30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(152)*-1 - sqrt(152) - sqrt(152))\/(1*sqrt(8)*6).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 13407753 to the nearest 1000.\nAnswer: 13408000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1601 is divided by 1227.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 29 = 79. Suppose 0 = -5*y - s + 4*s + 7, -3 = -4*y + 5*s. Let a = z - y. What is the highest common divisor of a and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10901667?\nAnswer: 3, 7, 74161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -221416 by 55354.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115\/(-105) + 2 - 8\/14.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -5*a - 5*i + 2*i, -6*a + 5*i - 5 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.11 - -9. Let t = 5.11 + o. Which is the second biggest value? (a) t (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168330 and 1860?\nAnswer: 336660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*x + 310599 - 310599.\nAnswer: 99*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*f**3 + 20*f**2 - 29221*f + 138644707 wrt f.\nAnswer: -21*f**2 + 40*f - 29221","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -124.5 - -23.5. Let r = 101.00041 + f. Round r to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -198 - -199. Is -24 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-713 + 5590 + 5662 + 47 - 895)*(4*q**4 - 3*q**4 + q**4) to w + s*q**3 + v*q + n*q**4 + g*q**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 359506 times 40?\nAnswer: 14380240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(-1)\/(-1 + 2). Suppose -7*q - 11 = 24. Let p = s - q. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/5)*g**20\/g assuming g is positive.\nAnswer: g**(93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 210\/(7 + -2)*(-43)\/2. Let y be (-5160)\/s + (-1)\/7*-2. What is the highest common divisor of 64 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 7141 + 146. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -22. Factor -2*l**4 + 5*l**2 + 0*l + l**5 - 3*l**x + l - 2*l**5.\nAnswer: -l*(l - 1)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 588 - 4983 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/13, -3, 9?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**4 - g**3 - g**2 + g + 1. Let x(h) = 3*h**4 - 2*h**3 - 2*h**2 + 9*h + 2. Let i(o) = 2*l(o) - x(o). Find the second derivative of i(j) wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -72*r**2*w**2 + 4937*r**2 - 806*r*w + r + 2*w - 52 wrt w.\nAnswer: -144*r**2*w - 806*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11819, -20341, -28863, -37385, -45907?\n\"Answer: -8522*h - 3297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 3*l - 36. Is 14 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7146 + -7148. Which is the third biggest value? (a) p (b) 3.82 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 17. Calculate u(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 12) + (-58 - -65) + 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 25 + (-3 + (-6 - -89) - (19 - 27)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.4 - -66.4. Let h = -4626.5 - -4681.4816. Let g = d - h. Round g to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, a: 15}. What is prob of picking 3 a and 1 u?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 11*x + 6)*(3 + 10*x - 1 - 23*x).\nAnswer: -143*x**2 + 22*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 83. Suppose -2*q + k = -16. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-231)\/(-4)*137\/1507?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/369676 and 99\/369676.\nAnswer: 369676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 332 and 913?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 0. Let o = w + -2.1. Let d = 123.5 - 123. Which is the nearest to o? (a) 3 (b) -1\/12 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**3\/2 - 4621395*i**2 + 9242785*i\/2 = 0. What is i?\nAnswer: 0, 1, 1848557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (-3*sqrt(187) + sqrt(187))*4) + 1*sqrt(187)*1)\/(2*sqrt(1100)*2*-4).\nAnswer: -sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -13726421*t. Let d(o) = 2*o. Calculate l(d(z)).\nAnswer: -27452842*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/2067950 and 73\/2067950?\nAnswer: 2067950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7743874.\nAnswer: 2, 17, 421, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13467 + 13467.126. What is the biggest value in j, 0.01, -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/4 + 6773*j\/2 + 3933318.\nAnswer: -(j - 14622)*(j + 1076)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8665.867 + 93.\nAnswer: -8572.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*s - 93. What is the remainder when 89 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(147) + -1 + sqrt(147))**2*-1 + ((sqrt(147) - (sqrt(147) + -1*sqrt(147)*1 + sqrt(147)))*-2)**2.\nAnswer: -112*sqrt(3) + 2356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2, -39, -106, -199, -318?\n\"Answer: -13*i**2 - 2*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6631504 and 4592?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**8\/112 - t**7\/14 - t**6\/5 - t**5\/5 + 276*t**2. Find b such that r(b) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -688902, -1377804, -2066706, -2755608?\n\"Answer: -688902*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 5:02 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-5)\/y)**(-1\/3))**22 assuming y is positive.\nAnswer: y**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/5 - 98236*d**3\/5 + 1608057696*d**2\/5 - 8767124008192*d\/5 - 17566428821504.\nAnswer: 2*(d - 16376)**3*(d + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1670023, 1670158, 1670293, 1670428, 1670563, 1670698?\n\"Answer: 135*h + 1669888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 2 - 3)*-33. Let a be 6\/(-33) - (-72)\/t. Suppose -11*w + 2366 = a*w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 1132485*r**2.\nAnswer: -3*r**2*(r + 377495)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9641 is divided by 1520?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r - 6. Let k be u(7). What is the units digit of (6\/k)\/((-3)\/(-36))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 + k - 1. Let f(y) = -y**2 + 13*y - 25. Let j(v) = -3*v + 32. Let x be j(7). Let c be f(x). Determine o(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/8*x**2 + 0*x.\nAnswer: -x**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n - 4. Let h be u(4). Suppose x + 3*t - 32 = -3*x, 3*x + h*t - 31 = 0. Suppose -3*i - x*q + 49 = 0, -2*q = 3*q - 25. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/15 - (-18)\/10. Find h such that -4\/5 + w*h + 2\/5*h**2 - 6\/5*h**3 + 2\/5*h**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -3)\/(-1)*-4. Suppose x*y - f = 8*y - 176, -176 = -4*y + 5*f. Calculate the remainder when y is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 6*k - 2*k)*(k + 2*k + 0*k - 6).\nAnswer: 3*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-360)*6*(-2)\/(-10)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llmrlllllrlllrmlrmll. Give prob of sequence mrm.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 12. Solve 1 + 8 = o*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 908 + -901. Solve v*p - 25 + 18 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 0.5733?\nAnswer: -2.4267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2274867603?\nAnswer: 3, 2657, 95131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -5, -18, -3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13 and -2566914.\nAnswer: -2566927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 15, -q + 2*q + 4*t = -31. Let b(k) = 21*k + 1. Let j be b(-1). Let c = q - j. Solve -c = -a - 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 757 divide 1751956894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 4) to base 9\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9490 + -170711\/18. Find the common denominator of f and -131\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - 38*o - 35. Let c be w(20). Let x(z) = z**3 - 6*z**2 + 12*z - 13. Let h be x(c). Which is smaller: 16 or h?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**11\/(f**(4\/9)*f*(f*f\/f**(-2)*f)\/f)*(f*f\/((f**(-1)*f*f)\/f*f))**6\/(f**(1\/4)*f*f**(-3)*f) assuming f is positive.\nAnswer: f**(443\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 6. Let s be 12\/(-93)*2\/4. Which is the smallest value? (a) 2 (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46631122?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 103920 and 30?\nAnswer: 103920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-7))\/((-2)\/3). Let i = -243709\/5 + 48742. Let b be (2\/(-5))\/((-14)\/(-10)). What is the second biggest value in -4, m, b, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2857300 divided by -100?\nAnswer: -28573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hha when three letters picked without replacement from hhhasashhhhh?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/70)\/((-2)\/(-15)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-18)*(3 + 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 450811205 to the power of 1\/2, to the nearest integer?\nAnswer: 21232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3378714 is divided by 1533.\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 199 by -245565.\nAnswer: -199\/245565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 12:50 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 6:01 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-593)\/(-5) + 26 + (-3)\/(15\/(-2)) is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12594866 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63381 or -63482?\nAnswer: -63381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w = -12*w - 14. Solve 0 = -2*s - t + 4, -5*t + 18 = -5*s - w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -32852, -65701, -98550, -131399, -164248?\n\"Answer: -32849*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {w: 4, l: 1, s: 2, y: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 20*a**2 - 5692*a + 17240. Give y(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - 87160991?\nAnswer: -87160984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4605 - -4607. Let 0*v + 1\/6*v**3 + 2\/3*v**y + 0 = 0. Calculate v.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1412 and -1412 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 - 1252*i**3 - 13944*i**2 - 44540*i - 31850.\nAnswer: 2*(i - 637)*(i + 1)*(i + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-6)*6\/(-105). Are 0 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 - 1 + 1)*(m**2 - m**2 - 2*m**2 + (m - m + m)*(5*m + m - 5*m) - 53*m + 53*m + 21*m**2).\nAnswer: -100*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 205055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1350\/14850*33\/(-1)*9\/(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 40 = 1342*x - 1292*x. Factor -x*c**2 - 2\/5*c**3 + 2 + 2\/5*c.\nAnswer: -2*(c - 1)*(c + 1)*(c + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/t**(-1\/6)))\/t**(-1))**(1\/10) assuming t is positive.\nAnswer: t**(11\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 7:18 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385*q**2 - 236*q**2 + q - 475*q**2.\nAnswer: -326*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3*5\/(-6)*2)\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + (-70)\/30)*((-8)\/10)\/(-2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 122276 and 152?\nAnswer: 4646488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3052 and 474259?\nAnswer: 13279252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -10. Let w be (-8)\/(8\/l) + 16. Suppose -8 = -4*u, -w - 74 = -3*s + 3*u. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-606)\/8*(-1 - 3). Solve -k*r = -293*r - 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 87*q - 5. Let a = -19 + 23. Let c be y(a). Suppose -5*o = c - 883. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + 12*i + 13. Let l(w) = -w**3 - 5*w**2 + 8*w + 3. Let y be (-9*1 + 3)\/1. Let p be l(y). Is j(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*o + 3. Suppose -3*g + 2*h = h - 11, 2*g - 14 = o*h. Solve -3*u = -g*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -79*j - 79. Determine k(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1450750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert f8793d (base 16) to base 9.\nAnswer: 33568354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -20\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 0*i**2 - 23\/6*i**4 + 2*i + 2*i**3 - 1. What is the second derivative of d(r) wrt r?\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 656?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-175)\/28)\/(135\/(-108))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 10:44 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 22*x**2 + 105*x - 28. What is the units digit of y(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**19*h)**(-20) assuming h is positive.\nAnswer: h**340","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115316.\nAnswer: 2, 127, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/381 (b) -5 (c) -0.4 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 3. Let a be k(-14). Let v(i) = 9315*i**3 - 14*i**2 + 4*i + 3. Let f be v(a). What is f rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 3\/7 (c) 0.03 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k**3 + k - 1. Let l be p(1). Let a = 7 + l. Let w(n) = -n**2 - 6*n + 4. Let q(x) = 2*x**2 + 13*x - 9. Let h(c) = a*q(c) + 5*w(c). Determine h(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74167 at most 74166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -58386 and -58401 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**3 - 3*a + 3. Let d(m) = -2*m**3 + 3*m - 2. Give 4*d(u) + 3*n(u).\nAnswer: -2*u**3 + 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430656 less than -3410?\nAnswer: -1434066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 3*t - 22*t)*(3*t + t**3 + 0*t - t).\nAnswer: -20*t**4 - 40*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -1\/60*g**5 - 1\/70*g**7 + 0 + 0*g - 1\/30*g**6 + 0*g**3 + 18*g**2 + 0*g**4. Factor f(m).\nAnswer: -m**2*(m + 1)*(3*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 11*s - 612 = 0. Calculate the highest common factor of s and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 16*l**2 + 33*l + 43. What is o(18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 15, -r = 2*a - 3*r - 4. Suppose -a*o - 15 = 0, -6*g + 3*g + 63 = -o. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259\/(-2 + 3) + 3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 109689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 24 = -0. Let v = 137 - 135. What is the second derivative of -20*s + v*s**4 + z*s**4 - 7*s - 12*s wrt s?\nAnswer: 168*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen quarters of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 156347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 194, 390, 586?\n\"Answer: 196*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 3*i + 13. Let x = -167 + 162. Let z be d(x). Solve 1 = g + z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -92, -227, -416, -659, -956, -1307?\nAnswer: -1712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240) + (-2*sqrt(240) - sqrt(240)) - sqrt(240))\/sqrt(4) - sqrt(60)) + sqrt(720)\/(sqrt(12)*1))\/(sqrt(1728) + 3*sqrt(1728)*-2 - sqrt(1728)).\nAnswer: sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 8 - 11 - b - 48 - 9 to the form k + t*b and give k.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000704581521 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69537506*h*x - 84086009*h with respect to x.\nAnswer: -69537506*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 139*l - 136*l - 47, 4*i + 4*l = 140. Solve i*y + 5 = 24*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1 = -7. Let f(l) = 3*l**2 - 5*l - 1. Let z(w) = -1 - 5*w**2 + 2 + 3*w + 3*w**2. Let i(v) = b*f(v) - 5*z(v). Differentiate i(p) wrt p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 + 2*d**3 - 3*d**2 + 16*d - 18*d + 4*d**2 - 9*d**4 to the form j*d**2 + p + i*d**3 + b*d + k*d**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -1040.\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2262759 is divided by 119092.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*k**4 + 0 + 1 - 61*k - 32*k**4 wrt k.\nAnswer: -684*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -5655?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1966 - -1983. Solve -2*d = -13 + p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 31 - 15*d**2 - 4*d**3 - 6*d**3 + 3*d**3 + 10*d + 6*d**3 + 9*d. What is k(-16)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240581 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 l when three letters picked without replacement from uslslluuluslulu?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 11) to base 3.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/7))**(-2\/19)\/(n**(22\/7)\/n*n\/((n*(n*n**(-5)*n)\/n*n*n)\/n)) assuming n is positive.\nAnswer: n**(-678\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by 30879521?\nAnswer: -39\/30879521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*i**2 - 17508*i - 5106705?\nAnswer: 24*i - 17508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 34*m + 170. Let v be b(-6). Solve 2*o = 3*z + v*z - 16, 7 = -z - 3*o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.3 (c) -60.6 (d) 4 (e) 41 (f) 3 (g) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*b + 41*b + 34*b + 28*b + 32*b + 26*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -273 equal to -274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 11:41 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 3*q + q)*(-4*q + 2*q + q) - 145 + 60 - 1140*q**2 + 83.\nAnswer: -1146*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.106?\nAnswer: -0.0106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -48400 (base 11) in base 14?\nAnswer: -1b584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 12*h. Let v(s) = 279*s**2. Determine n(v(g)).\nAnswer: 3348*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 4*m**2 + 5*m - 7. Suppose -2*o + o = 0. Let f(s) = -s + 5. Let n be f(o). Give t(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (22 - 5) + -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 25*g**2 + 22*g + 14. Let j be x(-24). Let l = -20 + j. Suppose 42 = -2*v + 4*v. Calculate the greatest common factor of v and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.2 + -0.2. Let p = -9 + w. Let u = 0.08 - -0.02. Which is the nearest to 2? (a) 2\/7 (b) u (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68708?\nAnswer: 2, 89, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -44258532.7 rounded to the nearest one million?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 895272.\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*z**2 + z + 9*z**2 + 24*z**3 + 7*z**2 to w + s*z + b*z**2 + m*z**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-442)\/65 + 9 - (-2)\/(-10). Solve -2*q + 4*q - 5*k + p = 0, 2*k = -3*q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -140710, -140709, -140708, -140707?\n\"Answer: t - 140711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 16 = n, 2*n + 8 = 2*b - 0*b. Suppose 40 = b*u - 3*u + 5*s, 2*u - 58 = 4*s. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1153 - 3947 = 0. Let r = -4124\/3 - l. Find the common denominator of r and 2\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.122 to zero decimal places.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 3\/5 (c) -46\/285 (d) -5\/343\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 605156345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 271.62 - 277. Let g = y + 2.38. Let l = 2.5 + -3. Put -6, l, g in descending order.\nAnswer: l, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05727373 * 19.\nAnswer: 1.08820087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19096 and 16632.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.7 (b) 18\/13 (c) 167 (d) 2 (e) 0.5 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -515*a**4 + 4*a**3 - 12*a**2 + 16*a - 41 wrt a.\nAnswer: -12360*a + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*v + 11*v - 62*v + 1 + (0*v - 4*v + 3*v)*(6 - 4 - 4) - 6*v + 4*v + 4*v.\nAnswer: -75*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14009002351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k**4 - 90296*k**3 - 62638*k**2 + 11943020*k - 3405072 = 0. What is k?\nAnswer: -6449, -12, 2\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**3 + 2*t**2 - 5*t + 5. Let j be q(2). Calculate the greatest common divisor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04933 - -0.04933. Which is the fourth smallest value? (a) -8 (b) q (c) 3 (d) -2\/9 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 63 (b) -1 (c) -1168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 115*k**2 - k + 2. Let f be d(1). Let m = 129 - f. Calculate the remainder when 48 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -17*m**2. Let i(f) = 16*f**2 + 1. Give y(i(u)).\nAnswer: -4352*u**4 - 544*u**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.015? (a) 6 (b) -0.3 (c) -8 (d) 405\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42687671?\nAnswer: 13, 113, 29059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 20 = 5*a. Suppose r + 16 + a = 0. Let l = r + 28. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 33 = -7*w. Suppose 3*b - 14952 = -w*m, 5*b + 9*m = 6*m + 24926. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 5:32 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 476*l - 17. Let j(p) = 238*p - 9. Let x(m) = 6*h(m) - 11*j(m). Is x(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1415583 divided by 481\nAnswer: -2943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 8*b + 5. Let z(t) = -t**3 + 6*t**2 - 6*t + 4. What is z(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -130*p**4 - 68*p**4 + 35*p**2 + 199*p**4 - 5*p + p - p - 2*p**4 + (1 + 0 + 1)*(p**4 - p**4 - 2*p**4).\nAnswer: -5*p**4 + 35*p**2 - 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o**3 - 36*o**2 - 22*o + 14. Let v(t) = -9*t**3 - 74*t**2 - 47*t + 30. What is -13*s(h) + 6*v(h)?\nAnswer: -2*h**3 + 24*h**2 + 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 64\/(-6) + (-4)\/(-6). Let u = 2.439 + 0.561. Put l, u, -2, 4 in descending order.\nAnswer: 4, u, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 + -108. Solve -2*v + 7 = 4*w - 3*w, -o*w = -2*v - 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 864 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15624 divided by -6\nAnswer: 2604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/1*(39\/(-2) + 20)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*q**4 - 22*q**4 - 20*q**4 - 2 - q + (3*q - 3*q + q**2)*(-3*q**2 + 4*q**2 - 2*q**2) - q**4 - q**4 + 0*q**4.\nAnswer: -4*q**4 - q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -152501 + 10345?\nAnswer: -142112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h + 2. Let j be (4 - 7\/2)*8. Let m be p(j). What is the third derivative of m*i**2 - 9*i**2 - i**4 + 0*i**4 wrt i?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/(((-26)\/(-6))\/1)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 8*j - 6. Let h be q(-3). Let x = h - -32. Suppose -8*r - x + r**2 + 0 + 9*r = 0. Calculate r.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 - 16*x**2 - 28*x + 13. Let q(g) = g**3 + 8*g**2 + 14*g - 6. Let d(r) = -3*b(r) - 7*q(r). List the prime factors of d(-8).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucn when three letters picked without replacement from ncgcugcnnugcccucc?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 2*v**2 + 3*v - 1. Let i = 6 - 9. Determine u(i).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24223 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 4 + -7 + 3 + (40 - 58)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 427\/5 (b) -4 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6 - 87 = 0. Let q = d - -38. Suppose 5*f - 65 - q = 2*p, 22 = 2*f - 5*p. Solve 0*x + 4*x - f = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 122*b**2 + 47*b - 1097. Is m(94) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.48566 rounded to 1 dp?\nAnswer: -12.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 1, 42139, 0.4, -6?\nAnswer: 42139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g + 5. Suppose 6 + 18 = -4*w. What is p(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**3*v**2 - 1466855*n**2*v**3 - 2*n*v**3 + 60622*n*v**2 - 6*n wrt n?\nAnswer: 12*n*v**2 - 2933710*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 199300915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/130 and 71\/104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132203 - 3300122303?\nAnswer: -3233330100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-313)\/((-98595)\/(-14)))\/(1\/5).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-2*m**2 + 3*m - 3*m + (-30*m + 41 - 41)*(2*m + 2*m - 2*m) + (m + 5*m - 4*m)*(-m + 2*m + m)).\nAnswer: 116*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000458820942 rounded to seven dps?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 0.5. Let v = 649 + -381. Let x = v + -268. What is the nearest to x in q, 5, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, v: 3, x: 2, d: 1}. Give prob of picking 2 x.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 230174121 less than 230174122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 667718?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 723, 1521, 2389, 3327, 4335, 5413?\nAnswer: 6561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12553543 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -17. Let y be 78\/(-65)*(-10)\/s. What is the remainder when 62 is divided by (y*1)\/(3\/(-12))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/25086 and 51\/173342.\nAnswer: 19240962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 7*t - 25 = 0. Let u be (-7)\/((20\/16)\/t). What is the highest common divisor of 42 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v**3 + 2*v**3 + 2*v**3 + (-2 - 2 + 2)*(-v**3 + 3*v - 3*v) + 12003*v**3 - 1878*v**3 - 6303*v**3 in the form h*v**3 + x*v**2 + p*v + t and give h.\nAnswer: 3823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssbpspsssbbsb. Give prob of picking 1 s and 1 b.\nAnswer: 32\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -8*f - 18*f. Let l(t) = 31*t**2 - 8*t - 9. Calculate the remainder when 86 is divided by l(f).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -12829999*p**3 + 2*p - 3. Let d be t(1). Round d to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106 + 206. Let w be c\/6 - 2\/3. Solve -2*a + w = -6*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 13 = v + 3*o, 2*v + 3*o = 60. Suppose 5*w - 102 + 26 = g, -3*g - 36 = -3*w. What is the remainder when v is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -3326.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 50.14822 kilometers?\nAnswer: 5014822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + ((-7)\/(-35) - (-992)\/340)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -128 + 131. Let i = 0.4 + -0.2. Which is the biggest value? (a) i (b) 0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(539) + (sqrt(99) - (sqrt(99)*-1 + sqrt(99) + sqrt(99))))**2 + 2 - (1 + (sqrt(11) - sqrt(33)\/(sqrt(9)\/sqrt(3)))*-5).\nAnswer: 14*sqrt(11) + 541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 0*k**3 - 1\/42*k**7 + 1\/4*k**5 + 0*k + 0 - 16*k**2 + 0*k**6 + 5\/12*k**4. Factor n(g).\nAnswer: -5*g*(g - 2)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 3\/2*g**3 + 0 + 15*g + 1\/60*g**5 + 4*g**2 + 5\/24*g**4. Let t(b) be the first derivative of l(b). Give t(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**2 - 21. Let o(x) = -13*x. What is b(o(w))?\nAnswer: 26*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a2dc - -227?\nAnswer: -a0b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 454*t**3 - 888*t**3 + 453*t**3.\nAnswer: 19*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 83\/6 - (264\/(-144))\/11\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/15 - ((-268)\/(-60) + -5)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(9\/2 - 4). What is the tens digit of (1 - j) + 4 + 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 4*y - 20. Let a be m(-11). Suppose -j - a = -57. Solve 0*w + 0*w + w = j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 884 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l + 12*l + l + l to the form d + r*l and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106 + (-87 - 57) - -17.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*((-4)\/(-18))\/(212\/(-1166)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 6:06 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 247504 to the power of 1\/2, to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f + 153 = 15*f. Let o = f + -35. What is the smallest common multiple of o and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187187*z - 4*x - 10 = 187188*z, -2*z = 4*x + 4 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 741, 742, 743, 744, 745, 746?\n\"Answer: y + 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ioyo when four letters picked without replacement from ivvivyoyvvivivoovvvi.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 8) + 7 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.0077 (b) 2\/15 (c) 5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x. Let m(u) = -8*u - 40. Let p(d) = -1. Let q(i) = -m(i) + 40*p(i). Determine a(q(z)).\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -3, -0.5, 154, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 57308.\nAnswer: 57308.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -10. Suppose 6*u - h*u + 9 = 0. Let l(q) = q**3 + 2*q**2 + 2. Calculate l(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2256114*l + 16856293?\nAnswer: 2256114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 9, -2*r = -195*v + 191*v - 26 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a centimeter in micrometers?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.465 + -0.035. What is the nearest to -1\/2 in v, -34, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 7*i - 8*i. What is the tens digit of (-2 + 4)\/((-6)\/i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*a - 23. Let m(z) = 8*z**3 + 4*z**2 - 8 + a - 8 - 10*z + 4*z**2. Let i(o) = -o**3 - o**2 + o + 1. What is 10*i(q) + m(q)?\nAnswer: -2*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*b - 3*b + 2, -5*d = -4*b - 12. Let p(n) = b - 1 + 3 + n. Suppose -5*t - 11 = 14. What is p(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2805588 is divided by 652?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -8, 9, -23 in ascending order.\nAnswer: -23, -8, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*m**4*y**3 - 308733*m**4*y + 8573*m**2 - 2*m*y**3 + 50*m wrt m.\nAnswer: 168*m*y**3 - 7409592*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -631, -668, -721, -790, -875?\n\"Answer: -8*m**2 - 13*m - 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o - 14. Let c be q(-6). Suppose -u - 8 = -c. Suppose u*t + t = 0. Let p(s) = s**3 + 1. Give p(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 r when four letters picked without replacement from rcfccfaffffcfcacfcr?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/8 + 5*g**3\/8 - 7*g**2\/8 - 5*g\/8 + 3\/4.\nAnswer: (g - 1)**2*(g + 1)*(g + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 159\/66*-2 + 4\/(-22). Let t be (-6)\/(-10)*q*(-3)\/3. Solve l + 2 = t*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 248, 1238, -27, -1 in descending order.\nAnswer: 1238, 248, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 546 divided by -1172\nAnswer: -273\/586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 260542422 and 140.\nAnswer: 2605424220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -29036652 + -203\nAnswer: -29036855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b**2 + 9*b - 13. Let s be l(5). Suppose -a - 44 = 29. Let t = s - a. Solve -t*g + 7*g = -10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + 2*(2*sqrt(70) - sqrt(70)) + sqrt(70) + sqrt(70))\/(sqrt(160)*5))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millennium in years?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14 (b) -10 (c) -1\/2 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + (-14)\/(-10))\/(4\/10). Let k(v) = -4*v**3 - v**2 - v + 1. What is k(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 9*p**2 + 23. Let x(b) = -6*b**2 + 5*b - 21. Let y(o) = 3*o**2 - 3*o + 11. Let z(l) = -3*x(l) - 5*y(l). Determine -6*u(g) + 17*z(g).\nAnswer: -3*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*x - 44*x + 26*x + 310 = 0 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118753 is divided by 183?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 33.13 * -259917\nAnswer: -8611050.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 3*f + 18. Let z be q(-6). Is z <= -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*d = i - 80*d - 8, 0 = -i + 3*d + 26 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.0417 + 2843.\nAnswer: 2857.0417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 11*u**2 - 86*u + 24. What is y(7)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*z - 1019 = -903. Determine s, given that 6*s + 12 + 3\/4*s**z = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-3))\/(11\/(198\/12)). Let w be -434 + (j - 1)*4\/(-6). Let o = 321 - w. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72956, 146052, 219148, 292244?\nAnswer: 365340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-16)*12 + 1 + 0. Let a be 2375\/(-418) + (r - -1). Is a at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 224, 333, 446, 569, 708?\nAnswer: 869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 147\/(-14)*(-4)\/6. What is the hundreds digit of ((-3)\/(-9))\/((u\/(-645))\/(-7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**4\/6 - h**3\/2 - 32*h**2. Let x(n) = -n. Determine d(z) - 2*x(z).\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**6\/360 + h**5\/120 + 3*h**4\/8 - h**3\/3 - 1. Let r(w) be the third derivative of m(w). What is the units digit of r(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2326116 is divided by 581505.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 2*y - 156. Let z = -56 - y. Suppose -5*q + 212 = -v, -6*q = -q + v - 218. Calculate the remainder when q is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510991 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 71 = -4*y, 2*o + 0*o + 6 = 0. Let i = 23 - y. Solve i*f - 3 = 2*z, -3*z = -4*f - 2*z - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -95*p**2 + 44767415*p + 2356180.\nAnswer: -5*(p - 471236)*(19*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18957 is divided by 306?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 55 = -5*o + 45, -2*m = 5*o + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -541327377 times 2?\nAnswer: -1082654754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4770 and 7960176.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/((-140)\/23645) + -4. Let u = -667 + w. Suppose -2\/7*y**2 + 16\/7*y - u = 0. What is y?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/70*(2 + 0). What is the second smallest value in -4, 14, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*v - 29265 = -23201 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v - 31 = -129 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 980, 3925, 8834, 15707, 24544, 35345, 48110?\n\"Answer: 982*x**2 - x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w**2 - 19*w - 2. Let a(l) = 2*l**2 - 10*l - 1. Let k(b) = -5*a(b) + 3*r(b). What is the units digit of k(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24843 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.5 - 4. Let r(u) = u**3 + 3*u**2 + u. Let x be r(-3). Which is the closest to 0? (a) 0 (b) m (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78.251 + -78.151. Let n = -5.13 - -0.13. Which is the second smallest value? (a) n (b) v (c) -54 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lggr when four letters picked without replacement from {v: 1, t: 1, l: 1, j: 6, r: 1, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1455*i + 220971 = 15354*i + 1421612 + 314350 for i.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 9*i - 45 = 0. Suppose -3*x + i - 3 = 0. Let w = -6 + 8. Solve w*c + 12 = -x*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9791 + 19587\/2. Suppose 0 - u*x**3 + 0*x + 5\/2*x**2 = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/24260 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.2182445 rounded to one decimal place?\nAnswer: 123.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 g when four letters picked without replacement from {n: 1, p: 7, g: 2, y: 2, q: 1, u: 4}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = 6*d + 30 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(-68) + 78\/120\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/4*48\/(-36). Suppose 3 = 2*t - g. Suppose t*b + 0*b - 3*j - 111 = 0, -165 = -5*b - 5*j. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrd when three letters picked without replacement from {d: 2, e: 2, a: 5, n: 5, r: 2, l: 2}?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a hour in seconds?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -7*t**2\/2 - 5*t + 2. Suppose -3*m - 18 = 2*c, 5*m + 1 + 4 = 5*c. What is the units digit of d(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-21 - -61 - 56).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 29 = -2*p, -3*p - 10*y + 19 = -15*y. What is the smallest value in 0.3, p, 3\/4, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 86*l**2 + 37*l + 3184. Determine a(-86).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 75 - 21 - 39 - 7*n as b*n + h and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*4*(-237)\/(-316). Let q(r) = -1 + 3 - 2*r + 3*r - 2*r**2. Give q(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154004a (base 12) to base 4.\nAnswer: -100131000322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + 3*o**3 - 6*o**3)*(-o - 2 + 2)*(8 + o - 8)*(1 + 5 - 3).\nAnswer: 18*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1171, 2337, 3513, 4705, 5919, 7161, 8437, 9753?\nAnswer: 11115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*d - 4*z - 17, 0 = -3*d + 3*z + 12. Suppose 9*r - 4*r = 0. Suppose -2*n - 3*n - 25 = r. Which is the nearest to -1\/2? (a) n (b) 0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 405 + 0*n**2 - 2*n**2 - 401 to b*n + f*n**2 + l and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -8. What is the fourth biggest value in -2\/13, j, 0.2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*r + 3 - 1, -6 = w + r. Let z be (10 + w)\/(3\/2). Solve 0 = -2*g - 2*g - z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 7 + -3 + 2. What is the second derivative of -4*l + 3*l**3 - 3*l**d + 13*l**4 + 9*l wrt l?\nAnswer: 156*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 2) + -2 - 6\/1*(-464)\/928.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, w: 7, f: 2}. What is prob of sequence wn?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - b + 2 = 0, 0 = -4*z - 0*b - b + 8. Suppose 0 = -0*f - z*f + 99. Calculate the remainder when f is divided by (-33)\/(-2) - 1\/(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 42*x + 4. Let f be s(6). Calculate the greatest common divisor of 16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 813 is divided by 540.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from appp. Give prob of sequence pa.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + 2 + -2 - (1 + sqrt(1100) + -2))**2 - ((-4 + sqrt(11) - sqrt(11))**2 + 0 - (sqrt(44) + -1)).\nAnswer: -16 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -815 less than -1300252627917?\nAnswer: -1300252627102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t\/(t\/(t*t**(-2\/11))))\/t)**49)**(2\/59))**(1\/2))**(-42) assuming t is positive.\nAnswer: t**(4116\/649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k. Let s(m) be the first derivative of 5*m**4\/3 + 11*m + 11. Let n(r) be the first derivative of s(r). What is w(n(j))?\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-2)\/3))\/(-3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 135251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 3, -2 in ascending order.\nAnswer: -26, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3.143, -5 in decreasing order.\nAnswer: -3, -3.143, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -419?\nAnswer: 2\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9\/10 of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 z when two letters picked without replacement from zzzzzzzzuzzzzuzzzz?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6385832516.\nAnswer: 2, 7, 23, 37, 263, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 103497\/2 (c) -3\/7 (d) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -362*c**3 - 33*c**2 + 26*c + 11. Let j(g) = 120*g**3 + 12*g**2 - 9*g - 4. Determine 11*j(n) + 4*v(n).\nAnswer: -128*n**3 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1553351420 + -5?\nAnswer: 1553351411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 12*l - 7. Suppose 3764 = 15*f + 3689. Determine y(f).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/6)\/(h*h\/(h\/((h\/(h*h**(-1\/9)))\/h*h))))\/(h**(-4\/7)*h*h**5)*h**(-1\/2)\/(h*h*h**0*h)*(h*h**(-1)\/h)\/(h**(-1)*h) assuming h is positive.\nAnswer: h**(-685\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2 + 16 + -16. Sort o, -5, -1 in ascending order.\nAnswer: -5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-84)\/(-9))\/(3\/9). Suppose -q + 5 = 0, 2*j + 22 = -5*q + q. Let c = j - -25. Calculate the greatest common factor of c and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281803885 to the power of 1\/2, to the nearest integer?\nAnswer: 35802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(10)*-4)\/(sqrt(12)\/sqrt(54)).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 5 - 4) + -5 - -11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31, -49, -67, -85, -103?\n\"Answer: -18*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33637, -67567, -101499, -135433?\n\"Answer: -n**2 - 33927*n + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1320438371 to the nearest integer?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 22229439.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -205.43 - -16.63. Let f = t + 201. Which is greater: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 6, -34, -3, 1 in decreasing order.\nAnswer: 6, 1, -3, -24, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5782 divided by -9872.\nAnswer: -2891\/4936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(3\/(-1053)*3).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2266 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0) + (-316 - -303)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 20*s**2. Let o(b) = 237943*b. What is q(o(g))?\nAnswer: 1132337424980*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 2*x - 18, 4*y + 12*x = 15*x - 23 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 552672 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -18. Let h(o) = -o + 16. Calculate the smallest common multiple of 3 and h(z).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times -16900?\nAnswer: 354900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4102 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23\/24 or 0?\nAnswer: -23\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 20*b + 45 = -50 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 5660*h**2 + 39352*h - 101376.\nAnswer: 4*(h - 2)*(h + 9)*(h + 1408)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7*n = 0. Let l(v) be the second derivative of 0*v**5 + n + 0*v**2 + v + 1\/30*v**6 + 0*v**3 - 1\/12*v**4. Determine g so that l(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -5. Suppose -s = -3*n + 11. Let w(p) = p - 5. Calculate w(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/47, -7, -2730\/31 in decreasing order.\nAnswer: 2\/47, -7, -2730\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 5*o - 4*i, 2*o - o - 20 = 3*i. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 20873892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 746 - 219?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 4) in base 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 348*r**2 + r + 333*r**2 - 4*r.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -302282*o**4 + 20*o + 35128711.\nAnswer: -1209128*o**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 15*c - 75*c. Let n(m) be the second derivative of 0*m**3 + 1\/4*m**4 - m + 0 - 11\/2*m**c. What is the first derivative of n(x) wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 40*p = -70 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 5:57 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.02 + 0.02. Let u = -211\/156 - -4\/39. Let c = 2 + -1.8. What is the closest to c in u, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*b + 24. Let r be -10*((-704)\/10)\/b. Calculate the highest common divisor of 22 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**3\/3 - 5*w**2 + 3*w. Let n be (-3)\/(1\/(-3)*-1). What is the units digit of c(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*q + 15 = 0, 2*o + 5*q = -9 - 26. Put o, 5, -3, -22 in descending order.\nAnswer: 5, -3, o, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 8) to base 3\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y - 1240*y**2 + 5*y - 1247*y**2 + 2486*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 51 = 3*w. Let m(l) = 20*l - 2. Let a = -1813 - -1807. Let y(q) = 7*q - 1. Determine a*m(s) + w*y(s).\nAnswer: -s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -37\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1637*y - 793. Determine h(2).\nAnswer: 2481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -34 - -184 - (0 + 1 + 0). Let t = m - 84. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 934139243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4508484289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxh when three letters picked without replacement from xxxhxxhxxxxxxhxhxhx?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (6*6\/348)\/(27380\/21460)\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8450495.1ms?\nAnswer: 2.34735975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -0.2 (c) 1832 (d) 1 (e) -3 (f) 92\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 = 4*q. Let f be (12*q\/(-4))\/(-2). Suppose 0 = f*n + 3, -2*z - 3*n = -4*n - 8075. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 3 = 4*i + w, 5*w - 16 = 2*i. Which is the nearest to 102\/5? (a) 2\/3 (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 4*j - 1 - 2 + j + 2 + (415*j - 266*j + 3293*j)*(3 + 3 - 3).\nAnswer: 10331*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 6:33 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 6*m - 4*t - 84, -3*m - 5*t + 80 = 0. Suppose m + 5 = 3*u - 4*l, -5*l = -u + 23. Solve 0*v = u*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301 is divided by 44?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1298646 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: What is 1751733430 to the power of 1\/3, to the nearest integer?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70.9 - 3. Let o = a - 68. What is the nearest to -0.1 in -4, 1\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.292 + 93.792. Let x = -94 + t. Sort x, -0.1, -0.3, 3.\nAnswer: x, -0.3, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, z: 2, w: 2, i: 1, a: 8}. Give prob of sequence awg.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785 is divided by 346.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(10\/(-4) - -1). Let x be (8\/a)\/((-13)\/357500). Round x to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*c + 14 = 0, 6*v - 4 = 3*v + c. Solve v*a - 15 = 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.13 and 5100193.\nAnswer: 5100192.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 427 - 427 = -v. Suppose v = 27*t - 21*t - 27042. Is t 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 kkkzzkkkk. Give prob of picking 1 k and 2 z.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(2*sqrt(10))*3 - 1*(sqrt(121) - 2*sqrt(121) - sqrt(121))\/sqrt(11))*-5.\nAnswer: -35*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2531 is divided by 361?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 233588*z + 1322 wrt z.\nAnswer: 233588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 1:53 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 - 23*c - 21. Let b(z) = -z - 4. Let q be b(-7). Suppose q*i = -2*i + 30. What is the least common multiple of g(-10) and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 301 = 233. Which is greater: r or 172\/5?\nAnswer: 172\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7880260787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5091 (base 10) to base 6.\nAnswer: 35323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 15) + (2 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 91*i + 545. What is c(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 401*t**2 - 33*t + 61. What are the prime factors of f(2)?\nAnswer: 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 8, 4 = -h + 2*h + 5*k. Calculate the highest common divisor of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-1)\/(-2)*(-3)\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/132*-14*(-12)\/14*(-16)\/(-440)?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -8626 and -0.3.\nAnswer: -8626.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -19*a**3\/2 + 2*a**2 + 5935*a. Calculate k(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/1*3\/(-9)*-6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(((((n**(1\/3)\/n)\/n)\/n)\/n)\/n))**32\/(n\/(n*n\/n**(-2\/53))*n**(-4\/11)\/n*n*n) assuming n is positive.\nAnswer: n**(317854\/1749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + r = -228, -181 - 265 = -4*m - 3*r. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 16*c**2 - 14*c + 17. Let o be m(-15). Find the common denominator of 25\/6 and (o\/26)\/((-4)\/(-160)).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-267)\/(-171) + -2 - (-1)\/(-33)*-11.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5\/41 (b) 1 (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12310124 + 21610124. Round g to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - -28. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*m - 27*f + 29*f, -11 = -4*m - 5*f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -1 - 0. Which is bigger: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 49?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 8*v**6\/15 + v**4\/2 + 52*v**3\/3 + 2*v - 33. Find the second derivative of s(o) wrt o.\nAnswer: 192*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31775463.534 + 8.37\nAnswer: 31775471.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w + 32. Let n be z(-6). Solve -2*x = -16 + n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g + 232 = 2872. What is the highest common factor of 45 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2113, -8, -2 in increasing order.\nAnswer: -8, -2, 2113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (-33 - -11) + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 10.07. Let f = a - 0.37. Let m = 0.1 + f. Is m equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2981197, -11924830, -26830885, -47699362?\n\"Answer: -2981211*w**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 7131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -0.3, 2.4, 7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*w = -2*n - 26*w + 14, -5*w + 11 = n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -7\/6*v**3 + 35 - v + 0*v**2. Let j(l) = 11*l. Determine j(c(d)).\nAnswer: -77*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**3 + 17*b**2 + 171*b + 412. What is u(-6)?\nAnswer: 646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 539353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23592, 47216, 70836, 94452, 118064, 141672?\n\"Answer: -2*h**2 + 23630*h - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c + 467 = 42. Suppose 57 = 44*j - c*j. Let i(q) = -3*q**2 + q - 4. What is i(j)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3267)\/sqrt(3))\/(4*sqrt(3)*-1).\nAnswer: -11*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-5))\/((-3)\/1230*2). Let i = -77 + m. What is the highest common factor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 2*y - 4*y. Let r(s) = -s + 22. Calculate the remainder when y is divided by r(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -6\/7, -148\/5, 2\/9, -0.5, 0.3?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (22\/(-33))\/(120\/(-909)) and 65\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -1942.\nAnswer: -7\/1942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 11*q**2 - 2*q - 1. Is x(3) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14166418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2601 - 2.2601. Which is the biggest value? (a) -12 (b) 22 (c) 0 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/9 and -139\/810.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 168\/14) + -12.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 4*x - x)*(-13*x + 2*x - 2 + 0*x) + 4*x**2 - 7 + 7 to u + r*x**2 + n*x and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1920 and 16580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30514103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 135.116 rounded to zero decimal places?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*g + 2*n, 3*g - 2 = 2*g - 3*n. Suppose g*a = 8, -4*a + 32 = 4*c - a. Solve -c*q - 2 = -22 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-567)\/(-5775)*(-620)\/(-558).\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 564 + -5087\/9. Calculate the common denominator of t and -16\/67.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1861, 3736, 5607, 7468, 9313, 11136?\n\"Answer: -w**3 + 4*w**2 + 1870*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-198)\/2475*1*-5*(-3 - 18\/(-4)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1495623.3 months in years?\nAnswer: 124635.275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 193492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21220012 - 10102?\nAnswer: -22000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.2615 milligrams to kilograms.\nAnswer: 0.0000092615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-330)\/3*(-2 - -222). What is k rounded to the nearest 1000?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5909 (base 14) to base 2.\nAnswer: 11110010000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -219*h + 18008. What is d(82)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 0 - 0) + -386 + 390.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046615 millennia in years?\nAnswer: 46.615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 3*q**8\/16 + 2*q**7\/105 + q**5\/2 - 5*q**4\/24 - 333*q**2. What is the third derivative of m(f) wrt f?\nAnswer: 3780*f**2 + 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1187*n**2 - 282*n**2 - 1019*n**6 + 302*n**2 wrt n.\nAnswer: -122280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -0.5 (c) 281\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 989 and 1247?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 9*d - 699. Let n be x(79). Solve 5*j + 15 = 0, -12*j - n = -a - 7*j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1600) - 2*sqrt(1600)) + 1*sqrt(64)\/sqrt(4))\/(-2*sqrt(1152) + sqrt(1152) + sqrt(8) + sqrt(128) + sqrt(128)*2).\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/4 + 1)*1. Put -2, v, 3 in ascending order.\nAnswer: -2, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -493\/5 - -99. Factor 0 + 0*p + t*p**2 - 2\/5*p**4 + 0*p**3.\nAnswer: -2*p**2*(p - 1)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8051 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 8*s**2 + 6*s - 9. Let l be i(-7). Let t be 0 - 0 - (l - (2 - -2)). Suppose -2*b + 4 = t. Sort -3, b, 2\/15, -9 in ascending order.\nAnswer: -9, -3, b, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2. Let x(m) = -2*m - 37. What is 5*f(c) + x(c)?\nAnswer: -2*c - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -41508 divided by 3459\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6593 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 m when two letters picked without replacement from hmmkzmamhammmmmhhmm?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415617 is divided by 1611.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-10))\/(64*37\/213120)*44\/(-33).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1837696133.\nAnswer: 7, 13, 173, 116731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.25 (b) 29400 (c) -1\/6 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17327037 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from {n: 9, e: 1, c: 1, m: 2, i: 6}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.7042394 decades?\nAnswer: 84.508728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01023168 rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 7. Let j = 10348 + -10348. Which is the smallest value? (a) m (b) -3.8 (c) -0.3 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 4 + 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 28\/5*m - 8\/5*m**2 - 8\/5 - 12\/5*m**3 = 0.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 + 249*a - 249*a - 4 - 3*a**4 in the form q*a + k*a**2 + h*a**4 + c*a**3 + d and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3465322 + -2?\nAnswer: -3465324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, y: 2, o: 3, l: 3, x: 1, n: 2}. What is prob of picking 1 y and 2 n?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(200) + 1 - (-3 + 3*sqrt(200) + sqrt(200))).\nAnswer: -120*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*r = -42. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(132) - (sqrt(132) + sqrt(132)*2) - sqrt(132)) + sqrt(132) - sqrt(132))\/(6*(sqrt(12) - sqrt(192))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*b, 8*b = 2*d + 8*b - b - 72 - 0 for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*g + 429 = -189 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446 = v - 442, 4*v = h - 23 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 59\/3 of a day?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 + -661720852199.\nAnswer: -661720852212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 6\/2*((-64)\/(-2) + 6559)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -162*g**5 - 56*g**5 - 34*g**5 + (0*g**2 + 0*g**2 - g**2)*(-6 - 6 - 1)*(4*g**3 - 3 + 3) - 2*g**5 + 0*g**5 + 3*g**5.\nAnswer: -199*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (-1 - 2))*2. Suppose h - 1481 = -3*g + 3*h, 3*g - 1465 = -z*h. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = 3*i, -4*x - 2*i + 13320 = 0. Let m = 336428\/101 - x. Is m less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1046*j**2. Let v(f) = -f**2. Determine v(u(d)).\nAnswer: -1094116*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 94\/158073 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -16. Let z(v) = -705*v + 13. Let t be z(c). Let s = t - 1140. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -254*d**5 + 54774*d**4 + d - 1645867?\nAnswer: -5080*d**3 + 657288*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (28\/114)\/(-3*(-6)\/(-135)) and 67\/4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/2*292\/(-2555).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*z + 27 + 8*z - 50*z + 26*z.\nAnswer: 6*z + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 0 = 4*d. Let t be (-119)\/11 + d\/(-22). Let k = t + 15. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -1 - -5) + 3 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 320*a + 5120.\nAnswer: 5*(a + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4679159397?\nAnswer: 3, 11, 10289, 13781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1134\/(-24) + 9 - (72\/64 + 6\/(-16))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8825 - 8824.9924572. What is c rounded to 5 decimal places?\nAnswer: 0.00754","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 9. Calculate the smallest common multiple of 6 and a(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 270878866?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**2. Suppose -218*t + 223*t = 10. Let h(w) be the first derivative of 0*w + 0*w**t - 9 + 1\/3*w**3. What is h(i(x))?\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 0.01, -0.5, -0.8, 19\/3.\nAnswer: -0.8, -3\/5, -0.5, 0.01, 19\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 + 2*u**2 - u**2)*(60 + 42 + 28).\nAnswer: 650*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**7\/525 - b**5\/150 - b**2 - 2*b. Let z(v) be the first derivative of l(v). Solve z(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p. Let s(z) = -500*z**2. Give s(m(r)).\nAnswer: -4500*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10, 41, 72, 103, 134?\n\"Answer: 31*n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4 + 3 + 8*v - 3*v**2 + 4*v**2 - v. Let w = 13 - 20. Calculate z(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + 1. Suppose -x*r + 16*r - 3 = 0. Let w(c) = 2*c + c + r*c. Let i(t) = 2*t. What is i(w(d))?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5373798711 to the nearest integer?\nAnswer: 1752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 251 + -29. Calculate the highest common divisor of 48 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from {z: 2, v: 4, k: 4, f: 1, g: 3}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 951331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -1b498a?\nAnswer: 1b498e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001110110001 (base 2) to base 10.\nAnswer: -5041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, y: 1, e: 1, j: 2, q: 1}. Give prob of picking 1 h, 1 e, and 1 q.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymm when three letters picked without replacement from mmyyyymymmmyy?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13401.\nAnswer: 3, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 55 - 6)*(-3*h**2 - 2*h**2 + 4*h**2).\nAnswer: 49*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 1. Let q(c) = 2*c**2 + 8. Let y(g) = 3*q(g) - 24*t(g). Let j(s) be the first derivative of -2\/3*s**3 + 0*s + 0*s**2 - 6. Calculate y(j(h)).\nAnswer: 120*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 36*k + 2. Let q be g(-2). Let c(o) = -o**3 + 6*o + 6. Let v be c(-5). Let j = q + v. Is j a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-12)\/(-9)*3. Let g(j) = -3*j - 7. What is g(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -300.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a. Let k(l) be the second derivative of l**3\/3 + 3*l**2 + 4*l. Let n(h) = k(h) - 8*s(h). Differentiate n(m) with respect to m.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4 - (-38)\/(-76). Solve 5*n = -f*n + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 - r. Let a = 5 - 12. Let o(i) = 6*i**2 - 2*i - 1. Let f(m) = a*v(m) + 2*o(m). What is f(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1595.793906ms to weeks.\nAnswer: 0.000002638548125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18191, -18056, -17715, -17072, -16031, -14496, -12371, -9560?\nAnswer: -5967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 60579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**3 + 23*w**2 - 22*w + 62. Let r(l) = 7*l**3 - 45*l**2 + 44*l - 123. Let j(t) = 2*r(t) + 5*z(t). What are the prime factors of j(20)?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 576.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 6*t + t)*(-1 + 1 - 3*t)*(4*t - t - 4*t).\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5 - 1 - 26*z**2 + 60*z - 56*z - 4. Let p(o) = 2*o. Determine p(x(i)).\nAnswer: -52*i**2 + 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*(k*k\/k**(-1)*k*k)\/k*k)*k)**27*(((k\/k**(-1\/4))\/k*k*k)\/k*k)**39)**1 assuming k is positive.\nAnswer: k**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -1591\/3718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 659753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 686 = 3*y. Suppose r - 5*r = -y. What is the tens digit of (r - -1) + 3 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -8*s**3\/3 - 3*s**2\/2 + 7. What is the second derivative of g(b) wrt b?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13567b8 (base 12) to base 5\nAnswer: 1441111201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*(-2*sqrt(126) - sqrt(126)))\/((1*(sqrt(189) + sqrt(21)))\/(sqrt(9)\/(sqrt(3)*-2))).\nAnswer: 9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -27 (b) 7 (c) -2\/25 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/45)*j*j*j**(-19\/3)*j assuming j is positive.\nAnswer: j**(-148\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 5*t - 752. Give q(-30).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4856407 * 19\nAnswer: -92271733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*c + 1334 + 1805 = -855*c - 1019 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) 3 (c) -1\/3 (d) 0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 10 + 12 + 1 + 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - x = 0. Let f = 2 + x. Suppose -2*h = -3*v + 24, v + v - 16 = -3*h. Solve -2*l + v = f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14728 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 11*h + 28 - 10, -2*h + 3*t + 39 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**4\/4 - 7*t**3\/3 + 11*t**2\/2 - 15*t - 3. Let f = -328 + 334. Let i be y(f). What is the highest common factor of i and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 204157.\nAnswer: -5\/204157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/195? (a) 32 (b) 0.3 (c) 1\/8 (d) 15 (e) 2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**3 - q - 1. Let u(v) = 3*v**3 - v - 1. What is 5*k(y) - 4*u(y)?\nAnswer: 3*y**3 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 187 divided by 11\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(5\/3)*m\/(m**40*m*m)*(m*(m*m\/((m\/m**(-13))\/m))\/m*m)**(-2\/21) assuming m is positive.\nAnswer: m**(-806\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -14328131810 to the nearest 1000000.\nAnswer: -14328000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 212 = -0*v. Let b = v - 49. Suppose -b*m - d + 41 = -211, 5*m = -3*d + 322. List the prime factors of m.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 16 = -u + 2*u, 4*u - 2*f + 24 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*f**2 + 3*f + 2*f - 65*f**2 - 5*f + 1022.\nAnswer: 30*f**2 + 1022","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-75*f**2 - f + 35*f**2 + 33*f**2) + (4*f - 4*f - 2*f)*(4*f - 3*f - 2*f) + 2 - 2 + 2*f**2.\nAnswer: -3*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4356\/5 + 871. Is q less than -74\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 3\/7 (b) -662 (c) -0.2 (d) 12\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 24*s**7\/35 + 55*s**3\/2 + 57*s**2. Differentiate y(a) wrt a.\nAnswer: 576*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -37*h - 1199. What is t(-73)?\nAnswer: 1502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2558 + -1234. Suppose 5*l + y = 9*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**4 - 2*j**3 - 3 + 0*j**2 + 28*j**2 - 15*j**2 to h*j**2 + v*j**4 + i + s*j**3 + p*j and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**4 + f - 2*f**3 + f**4 - 3*f**2 + 1 + 1 to r*f + o*f**4 + d*f**2 + s*f**3 + l and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2496, 4987, 7476, 9963, 12448, 14931?\n\"Answer: -r**2 + 2494*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6734\/555 - (-1 - -13))\/((-1)\/3*4).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -1\/20 (b) 267 (c) 4\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i**2 - i. Let h(d) = 5*d**2 + d - 1. Let y(f) = 5*h(f) + 4*u(f). Suppose 4*l = 5*l + 11. Let m = -11 - l. What is y(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 180 + z**2 - 9*z + 12*z + 4*z - 123 to the form q + d*z**2 + x*z and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-6))\/(5\/((-20)\/56)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbbbbmbbbmbbbbmb.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3483 - -3483. Solve b = 71*h - 63*h - 24 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341*z**2 - 87*z**2 - 98*z**2 - 89*z**2 - 90*z**2.\nAnswer: -23*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -101102021220121222?\nAnswer: 101102021220121220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 47*y - 281. Let b(m) = 7*m**2 + 132*m - 285. Let r be b(2). Calculate v(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(66)*1 - sqrt(66)))\/(sqrt(6) - (sqrt(600)*-1 - sqrt(600) - sqrt(600)))*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 835639?\nAnswer: 8356390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1 + (-1 - 1 + 4)*(0 - 5 + 2))*(-3*m + 4*m + 3*m) + 0*m - 4*m + 3*m.\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 greater than or equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 55565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c - 3*c - 3*c**2 + (1 + 2*c - 1)*(-61605 + 61605 - 74*c) + 2*c**2 - 3 + 4 - 4 in the form b*c**2 + a*c + g and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1636757*1.1.\nAnswer: 1800432.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*l + 30. What are the prime factors of 699\/5 + l*(-3)\/(-75)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679\/194*(-4)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-20))\/(3447\/6128).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -8*o + 1. Calculate r(9).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4948 (base 10) to base 11\nAnswer: -3799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-486)\/405 - (-108)\/15. Let l(o) = -14*o - 124. Let f be l(-9). Solve z = -i - i + k, 8 = -2*i + f*k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59762, -119525, -179288, -239051, -298814?\nAnswer: -358577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 1208900*t**2 + 91344181628*t + 639350036668.\nAnswer: 4*(t + 7)*(t + 151109)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 48.3, -4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85*v - 42 + 84*v + 4*v**2 + 3*v**2)*(-4*v**2 - 3*v**2 + 4*v**2).\nAnswer: -21*v**4 + 3*v**3 + 126*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -9. Let z be (1\/(-21))\/((8 - 22)\/42). Is z < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9239 + 2462 = 267*k - 10193 for k.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 + -140\/3. Factor -10\/3*x**2 + 8\/3*x - 2\/3 + u*x**3.\nAnswer: 2*(x - 1)**2*(2*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087569882 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4882.2 + 0.0084.\nAnswer: 4882.2084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 943499 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: Collect the terms in -28838228*y**2 - 235*y**3 + 28838228*y**2.\nAnswer: -235*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - (3 - 1515703\/219996). Let p = g + 11\/97. Which is greater: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 - 0.01. Let u = 26637 - 26638. Which is the nearest to 0? (a) f (b) 2\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -71*u**2*z**2 - z**2 - 189 wrt u?\nAnswer: -142*u*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 + 3*m**3 + 30 - 29 - m - 2*m**3. Let f be r(-2). Is f*(3\/(-3) + 4 + 50) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -8.3. Let g = 0.7 + n. Let f = g - 0.27. Which is smaller: 2\/5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p + 5. Let q be m(4). Differentiate -657 + 661 - 79*f**3 + q*f**3 wrt f.\nAnswer: -150*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1481609.45 to the nearest one hundred.\nAnswer: 1481600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o\/o**9*o)*o)\/o)\/o**(1\/18)*(o**(-18)\/o*o*o)\/o**(-3\/11) assuming o is positive.\nAnswer: o**(-1937\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -333480 divided by -11910\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 4*t**2 + 2*t - 5. Let u be q(-5). Let d(p) = -p**2 + 10*p - 6. Let r be d(u). Let x(j) = -j**3 - 5*j**2 + 5*j + 1. What is x(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((-3 - -8 - 24) + -1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (19\/(-38))\/(12*7\/(-7140))*(-2)\/(-1)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -r - x + 6527, 5*x + 15 = 0. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 154 (c) 0.03 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2636, 2660, 2688, 2720, 2756?\nAnswer: 2796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 5*f + 178 = -2*x, 0 = 3*f - 4*x - 126. Solve -42*y + f*y - 20 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8233 (base 13) in base 14?\nAnswer: 6788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*r + c = 105*r + 46988, -4*c = r - 11762. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1780.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**3\/7 + 48*v**2\/7 - 768*v\/7 + 518. Determine b, given that z(b) = 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**8\/16 + 8*b**7\/35 - 17*b**6\/40 - 31*b**5\/10 - 11*b**4\/2 - 4*b**3 + 131*b**2. Determine i, given that l(i) = 0.\nAnswer: -2, -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -164 + 182. What is the remainder when 214 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**4\/6 - c. Let g(r) = r**2 + r - 1. Let u(m) = -6*m**2 - 4*m + 4. Let l(s) = 4*g(s) + u(s). What is w(l(a))?\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + sqrt(304) + sqrt(304) + sqrt(304) + -2 - (1 + sqrt(304) + 3 + -2))**2.\nAnswer: -128*sqrt(19) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11823, -12038, -12245, -12444, -12635, -12818?\nAnswer: -12993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -40*m**4 + 6675*m**3 - 1405*m**2 - 730680*m - 91300 = 0.\nAnswer: -10, -1\/8, 11, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3316998?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 6 - -2)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6)*d*d*d**(3\/2)*(((d**(5\/2)*d)\/d)\/d)\/(((d\/((d*d**(-2\/15))\/d))\/d*d*d)\/d)*d\/(d*d**6)*d*d**(-3\/5)*d*(d**(-2\/3))**(-25) assuming d is positive.\nAnswer: d**(149\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -855, -1712, -2571, -3432, -4295?\nAnswer: -5160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 606 in descending order.\nAnswer: 606, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 59 + 1 = 57*h - 61*h, -50*g + 132 = 4*h for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -17*d**3 - 2*d**2 - 23*d + 1. Let k(q) = 14*q**3 + q**2 + 24*q - 1. What is -3*c(z) - 4*k(z)?\nAnswer: -5*z**3 + 2*z**2 - 27*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*w - 27*w - 36*w - 37*w + 2*w**3 + 1 - 1 - 10*w.\nAnswer: 2*w**3 - 17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*n + 4*z + 8 = -65 - 41, 18*z + 41 + 62 = 5*n - 13 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -103 (b) -3\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33 or 13?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3, 0.038, -13.7 in increasing order.\nAnswer: -13.7, -3, -0.3, 0.038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b + 13. Let v(s) = -1. Give u(p) + 5*v(p).\nAnswer: 2*p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/((-16)\/(-4))*-1. Solve 2 = 2*j + p*c, -5*j + 3 - 20 = 2*c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1851, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-2465)\/58)\/((-18190)\/428)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(44)*3)*4.\nAnswer: 8 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-4*(-1)\/(-1144)). Let q = 597 + c. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**3 + 2*y**2 + 4*y - 5. Let k be d(-3). Let n be (784\/k)\/(1\/5). Is n bigger than -148\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -45 + -2131?\nAnswer: -2176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 10:43 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 1:13 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*v - 238, 4*z + 241 = -3*v + 8*v. Let b = z - -61. Factor 0 - 1\/5*r**b + 1\/5*r.\nAnswer: -r*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 + 2326*o**3 + 3*o**2 - 913*o**3 + 2*o**2.\nAnswer: 1413*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 980 and 1820.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -2\/5, -1.9, -4, 0.5, 2, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -462047 (base 15) to base 2\nAnswer: -1100110001011001100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 105585*a - 316761. Determine h(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 21 - 1 = 0. Sort 0, b, 2 in descending order.\nAnswer: b, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/2 - (-42 + -575). What is the highest common factor of a and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddii when four letters picked without replacement from iidifuiuiifdiiif.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1\/u)\/(u*u*u**(-6))*(u**(-2\/13)*u*u)\/(u**(1\/2)\/u))\/(((u*(u*u**(-1\/3))\/u)\/u*u)**45\/(u**8*u*u**4)) assuming u is positive.\nAnswer: u**(-277\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 58414550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 109947 and 10251?\nAnswer: 5607297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 3*w - 3. Let z be l(-4). Let p = -807\/2 - -388. What is the common denominator of (z\/(-15))\/((-2)\/305) and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 5*d**2 - 7*d + 3. Let w be y(6). Let a be ((-1)\/w)\/(1\/12). Suppose a*u - 3*u = 18. Calculate the remainder when 35 is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 8 + 20. Let w(l) = l**3 + 12*l**2 + 16*l - 1. Let m be w(-9). Suppose -h*i + 0*x + x = -127, 2*i + 2*x - m = 0. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 83 + -487 - (-6)\/1. Let z = 1214\/3 + h. Is 8 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22688, -22692, -22706, -22736, -22788, -22868, -22982, -23136?\nAnswer: -23336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -17*j. Let y(n) = 20*n + 16*n - 2 - 69*n + 10*n. Let f(g) = 625*g + 55. Let i(w) = 2*f(w) + 55*y(w). Determine b(i(s)).\nAnswer: 255*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 25 = -j - 5, 5*h = -5*j. Which is the nearest to -83? (a) j (b) 2\/9 (c) -0.1 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*k + 60000 = 975*k + 1290*k for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2033741 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.01 (b) 59 (c) 0.8 (d) -4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 48 and 0.014988375856.\nAnswer: 48.014988375856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -j**4\/8 - j**2. Let f(g) = -g**2 - 7*g - 3. Let u be f(-6). Let l(n) = 3*n - n + 2*n - u*n. What is l(d(a))?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 163164 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 4*s = 2, -5 = -b + 48502*s - 48505*s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - (-15)\/(-5))\/3. Suppose -3*d - q - 115 = b, -3*q + 75 = -2*d - 4*q. Let r = 43 + d. What is the highest common factor of r and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 - 190*h + 161. Give s(-97).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**2\/2 + 309*n\/2 + 153 = 0.\nAnswer: -102, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -4*y - 8, -448*y + 8 = 5*c - 446*y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1109 - 299. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 383215?\nAnswer: -1\/54745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**3 - 47*i**2 + 143*i - 53. Give w(20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 28 - 34 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -190*a - 89 - 2*a**2 - 174 + 83 + 8*a + 0*a**2.\nAnswer: -2*(a + 1)*(a + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (-4067)\/147 - 8\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 430 - 429.7. Which is the biggest value? (a) j (b) -2\/5 (c) 0 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 68\nAnswer: -5\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -23*i - 68. Let w = 4917 - 4920. Calculate p(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 5:23 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02583 and -790.\nAnswer: -790.02583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + m + 10. Let o be i(-11). What is o rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**13\/c)**13\/(c*c*c*c**8)**(-7\/3) assuming c is positive.\nAnswer: c**(584\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 561\/15 - ((-558)\/(-45) - 12). What is the closest to -1 in 19, t, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**5 + 908*x**4 - 22420*x**3 - 240460*x**2 + 22424*x + 239552 = 0. Calculate x.\nAnswer: -8, -1, 1, 38, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/3)\/b)**(1\/42)*b**(-2)\/(b\/(b\/b**(2\/13))) assuming b is positive.\nAnswer: b**(-1777\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -55*p**8\/336 - 8*p**4 - 3*p**2 + 7. Find the second derivative of h(x) wrt x.\nAnswer: -1100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2060 + 6510. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-13)*o*o\/o**2 assuming o is positive.\nAnswer: o**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 93 divided by -6\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 812446829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2. Let z(i) = -3*i**3 + 4*i**2. Let n(a) = -5*v(a) - z(a). Find the third derivative of n(y) wrt y.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -49, -142, -271, -436, -637, -874?\nAnswer: -1147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 511?\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (12 + (6 - 7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9254159 or 9254166?\nAnswer: 9254159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1042\/3969?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 14c10 (base 16) to base 12\nAnswer: 41240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r. Let v(i) be the first derivative of 5*i**2 - 10*i - 7. Let q(b) = -b**2 + b - 1. Let y(z) = -10*q(z) + v(z). What is l(y(d))?\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1409, -2, 4, 0.1?\nAnswer: -1409","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 - 19*r**3 + r**2 + 2*r**3 to q*r**2 + p*r**3 + g + i*r and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17380.09 nanograms to kilograms.\nAnswer: 0.00000001738009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 0.4, 21 in decreasing order.\nAnswer: 21, 0.4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 10*a - 10. Determine y(13).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1567*i + 364*i + 1500*i.\nAnswer: 3431*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (2 - 2 - 3). Which is greater: -12 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3501821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239, 1890, 6375, 15116, 29535, 51054, 81095?\nAnswer: 121080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 11*g**2 + 15*g + 16. What is the units digit of v(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1010?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 709969254?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 17 = 6*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m**2 - 3*m + 3*m)*(-197*m + 65 - 65) + (m**2 + 0*m + 0*m)*(-2*m - 5*m + 3*m) as g*m + j*m**2 + x + n*m**3 and give n.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*(sqrt(13) + sqrt(13) + -1)*5)**2.\nAnswer: -15900 + 1200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/6 (b) -2\/13 (c) -0.1 (d) -278726 (e) -42 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 0*d - 2*o = 28, -o + 11 = -3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7, 16, 29, 46, 67, 92?\n\"Answer: 2*l**2 + 3*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 6 (c) 0.03 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - -166473?\nAnswer: 166481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -6*b - 4. Calculate the remainder when 17 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 4:34 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.8, 2\/39, 1\/4227 in increasing order.\nAnswer: 1\/4227, 2\/39, 0.8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.463728 and -2852.5?\nAnswer: 2852.036272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 15*m = -4059. Calculate the greatest common divisor of 82 and m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23339*v - 19999*v + 3573*v.\nAnswer: -39765*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 257\/11 - 3363\/143. Put -5, 2, -28, n in descending order.\nAnswer: 2, n, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**4\/2 - 25*h**3\/2 - 33*h**2 + 2*h + 44 = 0. Calculate h.\nAnswer: -22, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -215, -278, -383, -530, -719?\n\"Answer: -21*o**2 - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o - o**2 + 19*o - o**2 to w + v*o + k*o**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 972 = -3*u. What is the tens digit of (u\/15)\/(-1) - (-2)\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75840 divided by -2370\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1179*y + 5 + 3 - 7.\nAnswer: -1179*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-40)\/(-46))\/(-10) + (-94)\/(-23). Solve -739*x = -743*x + c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 250, -154.\nAnswer: -154, -4, 3, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7*y**2 + 7*y - 2. Let w(c) = -20*c**2 + 21*c - 6. Determine 17*v(a) - 6*w(a).\nAnswer: a**2 - 7*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 200445012 to the nearest integer?\nAnswer: 14158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17740\/9 - 3122789\/1584. Find the common denominator of 13\/128 and r.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 q when three letters picked without replacement from duuuqqqucucwuquuqqu.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15258519, 30517013, 45775507?\n\"Answer: 15258494*p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i + 1 + 345*i**2 + 2*i**3 - 345*i**2 - 2*i**4 to the form p*i**4 + f*i + d*i**2 + x*i**3 + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**2 + 4*q + 29. Let k be r(1). Suppose -34 - 2 = -k*c. Solve c*o - 10 = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-483)\/(-2760)*-20)\/(7\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) -2 (b) 2\/11 (c) 8\/3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 + 821*u + 5669. What is the remainder when (-1)\/(-1)*(-1 + 256) is divided by n(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t + 6. Suppose 4*x + 3 = -1. Let z(g) = 3*g**3 + 2*g + 1. Let v be z(x). Let o(h) = -h**2 - 5*h + 1. Let j be o(v). Give n(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 21*g**3 - 109*g - 93*g + 189*g - 1 to the form k*g**3 + c + p*g + h*g**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 71254 divided by -3098\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33258 and 27956?\nAnswer: 1928964","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (-52 - -31) - 35 - (6 - 0) - -12.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330 (base 5) to base 8.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(84) - (sqrt(84) - sqrt(84)*1))*3)\/(sqrt(1728) + sqrt(1728)*1))**2 + -3 + (-5*sqrt(63) + 5)**2 + -4.\nAnswer: -150*sqrt(7) + 102127\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 4*m = 2*w + 20, 4*w = 3*m + 6. What is the units digit of (-1)\/(1*w\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/34720 and -73\/642754?\nAnswer: 51420320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence piv when three letters picked without replacement from jifipwv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21943 - 21930. What is the greatest common factor of 20 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5861878 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134232 (base 7) to base 4.\nAnswer: 12032133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 6. Solve y = k*y - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a0a (base 12) to base 11.\nAnswer: -10a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17406 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-66)\/(-9) + (-4)\/3. Suppose y - 4 - 2 = 2*b, x = 2*y - b. Solve -y*z = -3*z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.015787 to three dps.\nAnswer: -1.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**3 - 15. Let t(l) = -7*l**2 - 9 - l**2 + 9. Give r(t(w)).\nAnswer: 192*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6711.\nAnswer: 3, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5187a4 - -1?\nAnswer: -5187a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h**2 + 5*h. Let f(m) = m**2 - m + 1. Let r(j) = j**2 - j + 1. Let t(l) = -2*f(l) + 3*r(l). Let y = -435 - -433. Determine y*t(d) - q(d).\nAnswer: 2*d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2823*f**4\/7 - 28155*f**3\/7 + 78294*f**2\/7 - 65652*f\/7 - 1800\/7 = 0 for f.\nAnswer: -25\/941, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 10*c**4 + 7*c**2 - 7*c + 3. Let k(y) = -3*y**4 - 2*y**2 + 2*y - 1. Let v(q) = 4*a(q) + 14*k(q). Find the first derivative of v(f) wrt f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 68, -9, -3, -1, 388\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z - 85. Calculate h(23).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0 = 8. Suppose -28 = -5*g + i*g. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 5031?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 - 29 - 2*m**2 - 8 + 19*m + 5*m**3 + 8 - 8 + 4*m**3 + (-4*m**2 + 3*m**2 + 2*m**2)*(2 - 3*m - 2) to the form v*m + c*m**2 + w + f*m**3 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwwwewwqwwyeywwywqww. What is prob of picking 2 e and 1 q?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 3880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**2 + 4*j - 2. Suppose i = -5*o, -115*o + 120*o - 5*i = 30. Let c(v) = v**2 - v. Determine o*g(y) + c(y).\nAnswer: 6*y**2 + 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o - 7105 = -6221. Let l(q) = 8*q - 282. Calculate l(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18478 + 130239. Let h = m - 61771. Round h to the nearest 1000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-1 + 3 + 0)) + -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + (-5 + -6*(2 + sqrt(208) + 0 + 5*(0 + sqrt(208))))**2).\nAnswer: 9792*sqrt(13) + 539720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.77170533 to 2 decimal places.\nAnswer: -28.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c + 1. Suppose -3 = j - 6. Suppose j*t - 4 = -t. Let i be f(t). Solve p = -p + i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 7:14 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8885 - 0.1115. Which is the biggest value? (a) 10 (b) -10 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2951282*o**2 - 3 - 15*o**3 + 2951282*o**2 + 3.\nAnswer: -15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 - 4*k + 4. Let l(z) = -z**2 - z. Let v(q) = c(q) - 3*l(q). Let b be v(-3). Let g = 28 - b. Solve -g = 5*n + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 854272264 * 0.1.\nAnswer: 85427226.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -95*q + 92*q. Solve 0 = 3*i - 1 - q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2045 divided by 2045\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 47c58 - -2?\nAnswer: 47c5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/112 - -13\/16. Let y be 1 - 2 - (-522)\/30. Let d = y - 16. Which is the nearest to d? (a) 0.1 (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -414, -3147, -10546, -24939, -48654, -84019, -133362, -199011?\nAnswer: -283294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(39*m + 20*m + 39*m) + 4 - 4 - 2*m.\nAnswer: -100*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9776*0.0171\nAnswer: 167.1696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 14*p**2 + 8*p - 12. Does 45 divide o(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(2352)*-5*-4 - (sqrt(2352) + sqrt(2352) + 2 + 3 + sqrt(2352) - sqrt(2352)))**2 + -1)*4.\nAnswer: -20160*sqrt(3) + 3048308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5724208?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/48 and 53\/7728.\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -b0b (base 14) in base 2?\nAnswer: -100001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2708442 and 15?\nAnswer: 13542210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 135.9 + -144. Let o = d - -0.1. Let u = 7.8 + o. What is the closest to 0.1 in 1, -2\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12035*f**6 + 51*f**2 + 4*f - 4 wrt f.\nAnswer: -1444200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -185*s**3\/6 - s - 7. Let r(u) = -2*u. What is w(r(n))?\nAnswer: 370*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(832) + 0 - (-5 + 3 + sqrt(832)))**2 - (-4*2*sqrt(832))**2*1*-3.\nAnswer: -128*sqrt(13) + 173060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 45 - 13. Let h = j + 5. Let d(c) = -c**2 - 35*c. Let r be d(-35). Solve -4*m + 7 + h = r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-9 + 3 - -11) + 4 + -15)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p**(3\/4)\/p)\/p*p)**45*(p**(-12\/7)*p)\/(p**(-1\/26)\/p))**36 assuming p is positive.\nAnswer: p**(111627\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -1.683.\nAnswer: -2.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 54479699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 38*r + 24. Let j be l(4). Suppose -j = -4*i + 916. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 13. Let f = -0.6 - x. What is the nearest to -0.08 in 4, -2\/13, f?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 514 + 27*a - 392 - 231 - 177.\nAnswer: 27*a - 286","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2, -196 in descending order.\nAnswer: 10, 2, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7a + -3?\nAnswer: -7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 109 = -8*i - 65, -2*r = -4*i - 14 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*k + 4*o, 5*k - 26 = 2*o - 2. Solve 2*r - 6*r - k*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 57 + 591*w**2 - 905*w**2.\nAnswer: -314*w**2 + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 605046.9 hours to seconds.\nAnswer: 2178168840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*1\/1 - 8. Let c be v\/(-15) + (-312)\/(-20). Suppose 5*f = 3*k + 11, -3*k - 4*f = -9 - c. Calculate the remainder when 8 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-6)\/70*-7 + 1932\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2353 divided by 27?\nAnswer: 2353\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -115*g - 16. Let v be z(-9). Factor -45*l**3 + v - 2*l**5 + 35*l**2 - 3*l**5 + 25*l**4 - 10*l - 1019.\nAnswer: -5*l*(l - 2)*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -799*g**3 - 2*g**2 - 4*g - 2. Let w(m) = 203743*m**3 + 511*m**2 + 1022*m + 511. What is 511*b(f) + 2*w(f)?\nAnswer: -803*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 0 + 0*f**2 + 9*f - 1\/84*f**4 + 1\/140*f**5 - 1\/21*f**3. Factor u(y).\nAnswer: y*(y - 2)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 5*b + 126. Let s(h) = -3*h**2 - 4*h - 116. Calculate -4*j(d) - 5*s(d).\nAnswer: 7*d**2 + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeqq when four letters picked without replacement from eeqeeq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from eivvivvvvv?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21544 (base 7) in base 14?\nAnswer: 1d94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3776029956062 + 0.147.\nAnswer: 3776029956062.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0201 in 0, 93, 1, -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5479 = -3*s, 2*c - 6*c + 4 = 0. List the prime factors of s.\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -2\/3, 5, 2\/11, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**4\/12 + 17*x**3\/6 + 8*x**2 - 38*x. Let k be i(-16). Solve 3*h - 5 = -f, k*f + 5 = -4*h + f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/6 and -25\/332.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 609.7307mm in nanometers?\nAnswer: 609730700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlhnlhhzhhnln. What is prob of sequence hln?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7463684959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-5)\/(-18)*(81\/15)\/9.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -2*i**5\/15 + i**4 + 40*i**3\/3 - 550*i**2\/3 + 750*i + 903. Find o such that y(o) = 0.\nAnswer: -9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t. Let v(r) = -1648*r - 4*r**2 + 1648*r - 75*r**2. Determine s(v(u)).\nAnswer: 79*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*p**2 - 3*p**2 - p**2)*(-36*p + 119*p + 91 + 4543*p - 91 + 2302*p) to the form d*p**2 + q + t*p**3 + v*p and give t.\nAnswer: -62352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 22. Suppose -j = -l - 0. Find the second derivative of 18*v + 7*v - 7*v + 13*v - 5*v**j wrt v.\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.689177 * -0.5\nAnswer: 0.3445885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1073 divided by -5?\nAnswer: 1073\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13413111 + 20?\nAnswer: -13413041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 885.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence up when two letters picked without replacement from {p: 2, l: 1, u: 4, h: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 546 = 7*m. Solve 0 = 5*x + 3*c + m, -2*x + 7*x - 2*c = -16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5101829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28809 or 28806?\nAnswer: 28809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5763 - 5818. Let p = -23 + 74. Let m = u + p. What is the second smallest value in 2\/9, 8, m?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 256 + 7904*u**3 - 517 - 1443*u**3 - 347*u**3 + 259 to the form c*u**3 + g*u + q*u**2 + z and give c.\nAnswer: 6114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18511*901.\nAnswer: 16678411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*c**3*q*z**3 + 779*c**3*q - 2*c**3*z**3 - 2*c**2*q*z**2 + 112*c*z**3 + 2*z**2 wrt z.\nAnswer: -162*c**3*q - 12*c**3 + 672*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557944493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qeb when three letters picked without replacement from {q: 8, n: 1, b: 7, e: 4}.\nAnswer: 28\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 88*p + 107*p + 62*p - 316*p + 105*p. Let d(w) = 17*w. Calculate c(d(h)).\nAnswer: 782*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 13729.\nAnswer: 137290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*c**2*w**3 - 47*c**2*w**2 - 126*c**2 - 290*c*w**3 + 303*c - 23 wrt c?\nAnswer: 12*w**3 - 94*w**2 - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -475100 to the nearest ten thousand.\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3937\/1110 + -4 + 3\/(-15) and -65\/333.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 271, -5, 5\/54 in ascending order.\nAnswer: -5, 5\/54, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3111 (base 5) to base 14.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -68409*n*t**3 - 1719*n + 127435206*t**3 - t**2 wrt n?\nAnswer: -68409*t**3 - 1719","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 + -65 + 6 + (3 - 0) + -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 814370?\nAnswer: 2, 5, 31, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110110100 (base 2) in base 14?\nAnswer: -4ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 4*b**2 - 51*b - 273. Give k(-6).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 197*q + 34*q**3 - 404*q + 25*q**4 + 205*q - 2 + 3 in the form t*q**2 + f + h*q + n*q**4 + r*q**3 and give r.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y\/y**(-8))\/(y*y*y**(-12))*y**(10\/11)*y*y**(-12))**(19\/5) assuming y is positive.\nAnswer: y**(2489\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -21*o**2\/8 + 23073*o\/8 + 3297\/4 = 0.\nAnswer: -2\/7, 1099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a + 34. Let l(v) = -2*v + 35. Let i(x) = -4*c(x) + 5*l(x). Let p be i(17). Solve 0 = u + 2*m - 3, p*u + 3*m + 11 = 33 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebebeeebebeb. What is prob of sequence ebe?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by -12632?\nAnswer: -7\/1579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - g. Suppose 0*j - w + 8 = 3*j, -2*j = -w - 2. Suppose -d + 267 = j*d. Let i(m) = -4*m**3 - m + 3*m**3 - 89 + d. Calculate b(c) - 2*i(c).\nAnswer: c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*v**3*w*x + v*w*x - 79*v*x wrt v.\nAnswer: 132*v*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 22*o + 3. Let d be f(1). Calculate the highest common factor of 10 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 9*m**3 + 142*m**2 + 525*m + 50. Determine y(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2234439 divided by -3\nAnswer: -744813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-8 - (0 + -5 + -1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/2483 (b) 9 (c) 0.2 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 8 = -12. Let k(r) = -160*r + 1. Is k(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 - -42. Let u(f) = -f**2 - 9*f - 5. Let v be u(k). Suppose -3*p + 21 = 3*n, 2*p = -4*n + v + 7. Solve -s - 7 = -3*m, 11 = -0*m - 5*m - p*s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/5)\/((f\/(f*(f**7*f)\/f*f*f)*f)\/f) assuming f is positive.\nAnswer: f**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1942310.\nAnswer: 2, 5, 43, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f + 2*f)*(23*f + 1259 - 1259)*(1 + 5 - 4).\nAnswer: 46*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012822107 to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2277, -18009, -60653, -143667, -280509, -484637?\n\"Answer: -2243*m**3 + 2*m**2 - 37*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-62)\/(-6))\/((-16)\/6528). Let g = -2645 - o. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7278\/5 - -1456. Sort -9\/2, -3\/2, r, 0.2, 4 in increasing order.\nAnswer: -9\/2, -3\/2, 0.2, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24 - 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 1:09 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 + v. Let b be z(1). Suppose -5*w + 8 = -w, -b*a - 2*w + 139 = 0. Suppose -y + 3*r + a = 0, -r - 25 = 4*r. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lplffffllffpfffpfpff. What is prob of sequence pffp?\nAnswer: 22\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38, 16, -46, -166, -362, -652?\n\"Answer: -3*p**3 - 2*p**2 + 5*p + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -11 - (-91)\/(130\/10). What is the nearest to -9\/5 in 3\/5, -0.2, 2\/13, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*j + 718 = 0, 12*m - 13*m + 5*j = -709. What are the prime factors of m?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54907\/422191 - -1\/5483. Which is greater: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 29719 and 1\/385 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 6736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 834, 1665, 2498, 3333, 4170?\nAnswer: 5009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20110 (base 3) to base 16.\nAnswer: ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/87759 and -97\/108?\nAnswer: 1053108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42021.\nAnswer: 3, 7, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 331 = 2*c - 825. What is the greatest common factor of c and 20653?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -40*a - 3. Let q(p) = -3*p**3 - 20*p**2 - p - 2. Let b(x) = -2*x**3 - 13*x**2 - x - 1. Let i(d) = -8*b(d) + 5*q(d). Let l be i(-3). Is s(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119 + 122. Let g be 1\/(-1*2\/(-44)). Suppose -a + 9 + y = -4*d, 3*d = 4*a - g. Let s(f) = f**3 - 5*f**2 + 5*f - 2. What is s(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(288) + 0 - (5 + (1 + sqrt(288) - sqrt(288)) + sqrt(288) + sqrt(288))**2 - ((sqrt(8) - (-3*sqrt(72))\/sqrt(9)) + -5).\nAnswer: -1181 - 284*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 + 41. Suppose r = -k*r - f + 939, 4*f = -r + 313. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*v + v + 3*v)*(-81 + 21*v + 81) + (7*v + 2*v - 5*v)*(-4*v + 0*v + 3*v) - v**2 + 2*v**2 + v**2 to the form y*v + z + s*v**2 and give s.\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 3:40 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 + 17*c - 27. Let i be m(6). Suppose 2*u - 5*u = -5*g + 10, 3*u = -4*g - 19. Which is bigger: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.4739*-2682\nAnswer: 9316.9998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -4 - -2)\/(-2). Suppose -2*w = 33 - 195. Suppose p = -5*k + w + 34. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1132300322 - 1003?\nAnswer: 1132233313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 57605461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 - 0.81. Let n = -0.4 - z. Let y = n + -0.5. What is the second smallest value in y, 2\/11, 1\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -76, -57, -36, -13, 12, 39?\n\"Answer: h**2 + 16*h - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/121393 + 159388989\/2427860. Suppose -3*y = 80 + 133. Let d = y + v. Find the common denominator of d and -73\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c**3 + 2358*c**2 - 15*c - 2358 = 0.\nAnswer: -786\/5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1220 and 3322?\nAnswer: -4052840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25070 is divided by 2231.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 2*o + 16, -4 = b - 6*b + 4*o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*g**2 - 61*g**2 + 3*g**3 - 4*g**3 - 26*g**2 + (230*g + 4481 - 4481)*(-3*g**2 + 3*g**2 + g**2).\nAnswer: 229*g**3 - 64*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5992 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.7317 days in seconds?\nAnswer: 8616818.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**5\/2 - 5743*n**4\/2 + 8231095*n**3\/2 + 41535003*n**2\/2 - 169198128*n - 185847210 = 0.\nAnswer: -9, -1, 5, 2874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-36) + (-9)\/(-20). Which is the biggest value? (a) q (b) 0.4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 4:58 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 4*a - 1. Suppose -10*b - 21 = -17*b. What is the lowest common multiple of 248 and z(b)?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1706 (base 9) in base 2?\nAnswer: -10100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y = -10 - 18. Suppose 5*j = -3*d + 1654, -3*j - y*d = -494 - 499. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 22. Suppose -k - 34 = -3*u. Solve 3*x + 0*g = 2*g, -u = -5*x - 3*g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2)\/(0 + -4). Let l = 0.18 + -4.18. Which is the nearest to 0.02? (a) l (b) y (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 1601?\nAnswer: 1601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 270129451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264 and 456.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 293631705?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/3 - 8*r**2 + 14*r + 2\/3*r**3.\nAnswer: 2*(r - 10)*(r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**3 - 3. Let s(z) be the first derivative of 1\/2*z**2 - 1 + 0*z. What is s(r(b))?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.4 + -14.4. Sort 0.5, -0.2, -2, h in ascending order.\nAnswer: h, -2, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 y when two letters picked without replacement from {v: 1, c: 1, q: 12, l: 3, y: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4363 - -6684. Suppose -2*x - l = -1165, 4*x - l + 6*l - s = 0. Does 42 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.5150316 to 3 dps.\nAnswer: 1.515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 13*u - 91. Suppose -14*p = -10*p - u*p. Solve 5*m - 4*a = -15 - 16, p = -3*m + a - 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 32, 65, 98, 131, 164?\n\"Answer: 33*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 698856 - -2666923.\nAnswer: 3365779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 587.3742m in micrometers?\nAnswer: 587374200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 5*v - 41, 2*r - 3*v + 20 = -v. Let n be (6 + r)*(-3 + 2). Suppose 2*x + n*p - 218 = 0, 0 = -x - x + 5*p + 202. List the prime factors of x.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 6, s: 2, q: 2, j: 3}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7470698 + 0.685.\nAnswer: -7470697.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - (-3 - -2))*11. Let i = -4 + y. Factor -31 + 2*u**2 + 3*u**2 - 20*u + i.\nAnswer: 5*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 919.4518 grams in milligrams?\nAnswer: 919451.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + (sqrt(931)*-2 + -4 - (-1 + 1*sqrt(931) + sqrt(931)))))**2.\nAnswer: 224*sqrt(19) + 14912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -508\/23. Let i = -6120 + 6141. Which is the second smallest value? (a) v (b) i (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*n = -c + 343, -n - 116 = -c. Is 35 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 2*z**2 + 7\/24*z**4 + 0*z - 7\/6*z**3 + 0 - 1\/60*z**5. Is h(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 492*t + 22. Let p(n) = 328*n + 14. Let c(b) = -5*m(b) + 8*p(b). Let f be c(-1). What is the smallest common multiple of f\/(-5) - 12\/(-20) and 15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -8*c + 2*c - 3*z - 2, 4*c + 3*z - 9 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27333223.\nAnswer: 23, 521, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/157 not equal to -113139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/5 and 77\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-9 - -6) + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w - 30 = 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 111.1 - 146.1. Put g, -3, 2 in decreasing order.\nAnswer: 2, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*y**2 + 324 - 22*y**2 - 324 + (2*y + 1 - 1)*(y - 2*y + 4*y) - y**2 + y**2 + 3*y**2 to w*y + x*y**2 + u and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 409, 815, 1221?\n\"Answer: 406*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 w when two letters picked without replacement from {f: 1, w: 1, r: 1, p: 1, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/14 - (-247 + 241)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o**29*o)\/o*o)*o)\/(o\/((o*o**(2\/83)*o)\/o)) assuming o is positive.\nAnswer: o**(-2405\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3117, 137, -3\/4 in increasing order.\nAnswer: -3117, -3\/4, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4242076499.\nAnswer: 4242076499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.726816kg to milligrams.\nAnswer: 6726816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1000 = 27*w - 80. Let y be -643*-1*7 + w\/(-40). Round y to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 6*i**2 + 9*i + 8. Is 22 a factor of h(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 d when three letters picked without replacement from dddc?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-22)\/m)*m)\/m**(1\/31) assuming m is positive.\nAnswer: m**(774\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8\/51, 0.1 in decreasing order.\nAnswer: 1, 8\/51, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 599 - 599 - 12*f**2. Let t(m) = -m. Give j(t(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -185 - -462. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 4*h**2 + h + 3. Let c be u(4). Let i(m) = m**3 - 7*m**2 + 2*m + 40. Let y be i(6). Suppose -c*n - y + 114 = 0. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100 - -201. What are the prime factors of v?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 - 1810*q**3 - 29920*q**2 - 120960*q.\nAnswer: 5*q*(q - 378)*(q + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from awfpfiaiadfd. What is prob of sequence faaa?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*s**3*z**2 + 2*s**3*z + 2*s**3 - 20*s**2*z**2 - 26*s**2*z - 3*s**2 + 226*s + 6861*z**3 wrt z?\nAnswer: 50*s**3 - 40*s**2 + 41166*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 20, 78, 190, 374?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.626 and -1.\nAnswer: -0.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510*q + 1119 = -2451 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**4 + 5576*a**3 - 311580*a**2 + 1718496*a - 2502144 = 0?\nAnswer: -1448, 3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2704 and 1146584.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -3. Let h(f) = -6*f - 6*f + 18*f - 13*f - 297 + 4*f**2 + 300. Let u be h(s). Which is the nearest to 0.1? (a) u (b) -0.12 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 - 56. Which is the biggest value? (a) x (b) 3 (c) 4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6*0.0408.\nAnswer: 0.06528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 29555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19061, -19026, -18969, -18890, -18789, -18666, -18521?\n\"Answer: 11*m**2 + 2*m - 19074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**3 - 7*h**2 - h - 3. Let i be v(-7). What is the common denominator of (-8)\/20*(-530)\/(-64) and i\/10 + 9\/(-45)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -9*r**2 + 304*r + 63. Calculate g(34).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r - 17*r = 4*v - 48, -2*r + 3*v = -2 + 3 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (8 + (2 - 7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -891, -1848, -2793, -3720, -4623?\nAnswer: -5496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 658 + -658. What is the third biggest value in a, -1, -0.8, -0.2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 20 = 0, -5*y - 39 + 272 = 2*q. Let d = q + -50. Let u = d - 23. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4396870856?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 - -9. Let w = s - 57.7. Round w to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttzzzck. What is prob of sequence ttcz?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4 - (-14 - -18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z + 19*z - 21 - 17 = -2*o + 38*z, -3*o = 5*z - 76 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/185 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*5\/(-200) - (1311 - 1315)?\nAnswer: 35\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-6*(713\/5658)\/(-31))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1225 and 68600.\nAnswer: 68600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4050 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 9*k + 20. Let l be r(10). Find the first derivative of 3*y**2 - l + 15 + 6 + 11 wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 628307\/6 - 109660. Let c = k - -4956. Calculate the common denominator of c and -31\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7474 is divided by 7006.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -2\/11, -2\/13?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -168*y**2 + 49*y - 49. Let q(d) = 0 + 45*d**2 + 15*d**2 - 2 - 67*d**2 + 2*d. Give -98*q(o) + 4*r(o).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3684.4 + -3684.3. Is -4598 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-7)*((-36)\/8 + 1). Suppose 4*r = -v*r. Suppose 4*p = -7 + 27. Which is the closest to r? (a) p (b) -8 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 189.8 - 190. What is the third smallest value in 2\/61, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5)*(q\/(q\/(q**(5\/2)\/q)))\/q*q*q**(-4\/7)*q*q*q**(-1))\/((q**(1\/13)*(q*(q*q**(2\/17))\/q)\/q)\/(q**0)**(-2\/33)) assuming q is positive.\nAnswer: q**(20637\/15470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198, 199, 200?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m*r**4 + 94*m*r - m + 223 wrt r.\nAnswer: 4*m*r**3 + 94*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-23\/5)*(z**(-3\/2)\/z)\/z assuming z is positive.\nAnswer: z**(-81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 201598290 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1193111, -2386234, -3579369, -4772522, -5965699, -7158906, -8352149, -9545434?\n\"Answer: -p**3 - 1193116*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 372 and 28849344.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 29*x**2 + x - 5. What is the tens digit of k(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 6549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - 39. Which is smaller: -1\/47 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 15*b**2 - 26*b + 1. Let h be k(-13). Let z be -4 - 16\/(h - 5). Solve z*i + 4*i + 4 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 818 (base 10) to base 5.\nAnswer: 11233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 11 = -4*o, -4*o - 12 = -2*d - 2*o. Let l = 2 + -18. Calculate the remainder when (1\/(-4) - 244\/l) + 3 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c**2 - 6 - 9951*c + 1 + 4965*c + 3 + 4986*c.\nAnswer: -13*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 439586*k - 1318740.\nAnswer: -2*(k - 219790)*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**4\/12 - x**3\/6 - x**2\/2 - 35*x. Determine m(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34865 + 0.1241531.\nAnswer: 34865.1241531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - 20 - 3*u - 2*u - 40 - 100.\nAnswer: -u - 160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9483 is divided by 1352.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*u**2 - 23*u**2 + 5*u**2)*((4 - 1 - 1)*(-2*u + 2 - 2) - 2*u + 3*u - 2*u + 5*u - 2*u + u)*(2 - 6 + 2).\nAnswer: -18*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1401060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5819*p**3*v**3 - 40*p**3*v + 3*p**3 - 247*p**2*v**3 - 343*p*v**3 + 11*p*v**2 + 4*v wrt p?\nAnswer: 34914*v**3 - 240*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/((-2)\/6*((-98)\/(-7))\/(-518))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -8*g**2. Let w(x) = -x - 5. Let h(m) = -m - 8. Let z(o) = -5*h(o) + 8*w(o). Determine n(z(p)).\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 198\/45*1\/(-2).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 3*a - 4. Suppose -19 = 10*y + 21. Give l(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from {b: 1, h: 1, u: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-2) - (-145)\/(-45)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -5 - 20) + (-157 - -144).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 327?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -2 + -4 + -5 + -1 + 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 436 plus -5449230768.6?\nAnswer: -5449230332.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -13. Suppose -y*u - 15*u = -1343. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/(-6)*(-10)\/(360\/3))\/(20\/90).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 13 = -2*f, -l + 0*f - 5*f - 15 = 0. Suppose l*j = -21 + 56. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*h**2 - 22 - 661*h**4 + 0*h**2 + 671*h**4 wrt h?\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-2)\/(-300)*22*(-207)\/(-2024)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 1 - 20\/(-5). Suppose -y - v*y = 80. Round y to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42 - -2) + (89 - 174).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -3*l - 2370 + 2352, -l + 4 = -u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/111033 and 82\/1521.\nAnswer: 111033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2264 - 5) + (-18)\/6 + 1. Is -21*p\/9 - 5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -72*v**2 - 30. Let f(c) = -c**2 - 1. Let p = 23991 - 23992. What is p*t(m) + 30*f(m)?\nAnswer: 42*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 302 = t, -106*a + 105*a - 5*t = -70. Suppose -a*v + 10 = -58*v. Solve -h = 3*h - d - 11, v*h - 18 = -3*d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**5 - c**4 - c**3 - c. Let f(i) = 24*i**5 + 6*i**4 + 6*i**3 + 34*i**2 + 7*i. Let n(t) = f(t) + 6*l(t). What is the third derivative of n(z) wrt z?\nAnswer: 1080*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4082579?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.63 times -12?\nAnswer: 19.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 115274770981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2866664 and 8904.\nAnswer: 60199944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -600 + 600.5. What is the nearest to -1 in -1, p, 2, 3.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 7*d + 2. Let x(n) = 31*n - 48*n + n**2 - 2 + 25*n. Determine 7*a(l) + 6*x(l).\nAnswer: -l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 5*v**2 + 5*v - 27. Let a(j) = -11*j**2. Let t be a(1). Let b(g) = -2*g + 16 + 13 + 13 - 43. Give t*b(m) - 2*y(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.6 + 0.6. Let o be (-2)\/9 + (-17)\/45. Which is the closest to 2? (a) t (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - n**2 + 5*n + 12. Let w be l(-3). Solve w = -x + 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -55*l**2 + 7*l - 2. Let y(u) = -u**2 - 2*u + 1. Determine g(b) + 2*y(b).\nAnswer: -57*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96*v**3 - 17*v**2 - 2*v + 16*v**2 + 3*v to d*v**2 + h*v**3 + x + k*v and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -515 + 2061\/4. What is the biggest value in -15, -1\/4, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 + 242 = -94*z - 70 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + 2*sqrt(704))*-5*-6.\nAnswer: -150 + 480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 790584 and 329410.\nAnswer: 3952920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5775482 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**3 + 2 - 271*q**2 - 5 + 277*q**2 - q - 4*q**3. Determine c(-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 4*c - 2*c)*(2*c**2 + c**2 - c**2) + c**3 + 6*c**3 - 2*c**3 - 6*c**3 + 7 - 7 to h*c**3 + z*c + q + a*c**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -81, -318, -725, -1308, -2073, -3026?\n\"Answer: -u**3 - 79*u**2 + 7*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226 + 225 + 236 - 934 + 2*k**2 + 271.\nAnswer: 2*k**2 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5a (base 12) to base 10\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 202 + -92. List the prime factors of z.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(-2)*(-1540)\/(-2618).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (8 + (-1 - 4) + 2 - (-85 + 92)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104339929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -13\/36*f**3 + 1\/30*f**5 + 92*f + 0 - 1\/3*f**2 + 13\/72*f**4. Factor b(z).\nAnswer: (z - 1)*(z + 4)*(4*z + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-4978.28.\nAnswer: 24891.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281413595 to the nearest integer?\nAnswer: 16775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 406111 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, z: 1, c: 1, r: 1, s: 2, i: 1}. What is prob of picking 1 s, 1 r, and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -22. Suppose 2*q + d - 8 = 0. Suppose 1 = q*a - 11. Solve -2*z - 10 = s, 0*z + 19 = -z - a*s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -754 - 221. What is v rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -14, -5, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 374\/10 + (-2)\/5. Let v = b - 20. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 10:09 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-40)\/((-28)\/(-7)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3909 != -3916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 4*r + 5. Let m be q(4). Suppose x + 4 = m*x. Are 2\/3 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 759 - 735. Suppose -a = v - 3*a, -4*v + a = -35. Let p = 38 + v. Calculate the highest common divisor of w and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -254 * 633\nAnswer: -160782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1027 is divided by (-42 + 25)*1 + 348.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 5)\/(632\/1738).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -2*n + 18, -34 = 3*n + 4*y - 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10114*p**5 - 358*p + 98 wrt p?\nAnswer: -202280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y - 209 = 168 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 121 (b) 2\/11 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 149 + 16*s - 78 - 71.\nAnswer: s**2 + 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -569, -637, -731, -851, -997?\n\"Answer: -13*t**2 - 29*t - 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -381 by 1.\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -467\/64464 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 35*y + 40.\nAnswer: -5*(y - 8)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/3*((-45)\/20)\/((-24)\/(-64))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/10 and 109\/315.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 656 + 662 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6025, -12072, -18199, -24406, -30693, -37060?\nAnswer: -43507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven fifteenths of a decade?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24750 is divided by 102.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 770 and 9745610.\nAnswer: 107201710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 3*b - 1. Calculate k(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 95289 and 5?\nAnswer: 476445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, 0.03, 3, -602, 5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1447620 to the nearest ten thousand.\nAnswer: 1450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382444833?\nAnswer: 3, 227, 431, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14212303 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243967*n - 9879 = 243856*n for n.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(11\/3)\/(w\/((w*w**(-9\/5))\/w)))**(-3\/7) assuming w is positive.\nAnswer: w**(-13\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l - 84 = 13*l - 18*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17932, -34912, -51886, -68854, -85816, -102772?\n\"Answer: 3*v**2 - 16989*v - 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -4 (b) -5 (c) 0 (d) -2 (e) -50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 702 = 16*t. Calculate the remainder when 36\/t*(-591)\/2 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 3*i + 39. Let h = 11 - i. Let s = 49 + h. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003 (base 5) in base 16?\nAnswer: fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d**3 - 1711*d + 2. Let c(y) = -7*y**3 + 1711*y - 3. Calculate 2*c(j) + 3*s(j).\nAnswer: j**3 - 1711*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*w**2 + 0*w**2 + 1 + 220*w**2 - 1.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (21*(-2)\/(-9))\/((-4)\/(-84)). Let k = -13 - 3. Let n = -2 - k. What is the highest common divisor of n and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) -31 (c) 5 (d) 1\/10 (e) 0.4 (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 27, 1450, 6, 2.\nAnswer: 2, 6, 27, 39, 1450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30542.71713 rounded to the nearest 10?\nAnswer: 30540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**5\/60 + 11*r**4\/24 + 52*r**2 + 2. What is x(-7)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 3*o**2 + 3*o + 3. Let c be x(-4). Let t(f) = 8*f**2 - 8*f**2 - 15*f**2 + 14*f**2 + 6*f - f. Give t(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = d + 2*n - 16, -d - 4*n = -20. Suppose -4*q + 728 = -5*i, d*i + 585 = 3*q + 40. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 452*d - 16039. Determine p(39).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 594 = 14*a + 104. Calculate the smallest common multiple of 135 and a.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.26 - 0.04. Let w be (-5)\/(-10)*8 + -1. Let k be (w - -12)*8\/20. Which is the nearest to k? (a) 1 (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -5. What is the least common multiple of r and (-8*(2 + -1))\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4320*d - 483797. Calculate r(112).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11271 - 3?\nAnswer: -11274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 10:28 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2 + 2)*(48*b + 31*b + 18*b)*(-b + 0*b - b) - 2*b**3 + 2*b**3 + 2*b**3.\nAnswer: -192*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1389 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = d - 3, 4*d - 2*y + 10 = -4*y. Is -2 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -0.1531?\nAnswer: -0.1531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900)*-2 + 2*sqrt(1296) + sqrt(1296))\/(-2*sqrt(36)\/sqrt(3) - sqrt(48)*-3)*-1.\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54746 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10402 and 336?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -182689 rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-seven fifths of a milligram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (8 - (((-28)\/2)\/(-7) - -3)). Are 2\/7287 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a - 2*a + 6 - 5. Let y(q) be the first derivative of -5*q**2\/2 - 2*q + 10. Calculate 8*u(t) + 3*y(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70*k**5 - 1295*k**3 + 8*k**2 - 11866*k + 295?\nAnswer: 1400*k**3 - 7770*k + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68533011?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 150863590 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 - 4*m + 4. Let y(n) = 8*n - 7. Let r(s) = 7*s - 6. Let h(b) = -7*r(b) + 6*y(b). Give -g(w) + 4*h(w).\nAnswer: -2*w**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (0 - (2 + -22))) + 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from {p: 1, k: 1, t: 1, q: 1, i: 1, y: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2918701 + 2918853.0103. Let l = -152 + b. What is l rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -355*m + 63195. Let d be k(178). Let l = 1 + -1. Solve 0*t - d*t - 20 = l, -4*t = 3*n + 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*d + 172 = 643. Factor 7\/4*b**4 + 4*b + 1\/4*b**5 + 25\/4*b**2 + 19\/4*b**d + 1.\nAnswer: (b + 1)**3*(b + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 6 - 1 + 0 + 0 + (-3 + 3 + 1)*(-3 + 4 - 2) - 1 + 3 - 1)*(-2*j + j - 5*j).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-6)*(-36)\/(-8)*-12. Let c = 107 + m. What are the prime factors of c?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*c + 6 - 30. Solve a + 3 = c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/3 (b) 4\/5 (c) 0.4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/41)\/d**(2\/43)*d\/d**3*d**11)**18 assuming d is positive.\nAnswer: d**(282582\/1763)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 709310840*c + 31445116733844100.\nAnswer: 4*(c + 88663855)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65941 is divided by 21980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43 - 42) + 0 + 7 + -12 + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2269, -2271, -2273?\nAnswer: -2275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 12*j = 670. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*x - 11*x - 2*x**2 + 5*x + 0*x**2 as d + c*x + i*x**2 and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 8 = 12. Suppose w + 0 = -2*g. Which is the third biggest value? (a) -2\/7 (b) -0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 25*o = -837. What is the remainder when 296 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 71*j + 70*j = 31863, 0 = 5*b - 4*j - 53105. List the prime factors of b.\nAnswer: 13, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**2 + 15479*h - 15480 = 0.\nAnswer: -15480, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(32)\/sqrt(8))\/(6*(sqrt(128) - (sqrt(128) + (sqrt(128) - 4*sqrt(128)) - sqrt(128) - sqrt(128))) + sqrt(128)).\nAnswer: -3*sqrt(2)\/124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 + 9*i - 8. Let u be a(-11). Calculate the highest common factor of u and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 3*r + 2. Let a be f(-3). Suppose 112 = a*m - 2*x, 0 = -3*m - 2*x + 3*x + 170. Round m to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 31942*x - 223545.\nAnswer: -(x - 31935)*(x - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 25*r - 8. Let p(w) = 2*w**2 + 17*w + 9. Let j be p(-8). Does 8 divide a(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025568 to seven dps.\nAnswer: 0.0000256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 2*i + 5. Let j(d) = -3*d**3 - 5*d - 10. Let p(w) = 4*j(w) + 10*l(w). What is the first derivative of p(g) wrt g?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8668031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -503*k**3 - 25*k**2 + 7*k + 14. Calculate w(-1).\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/8 (b) 0.0206988 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -167 - -302. What is the remainder when h is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 76\/16 + 2\/8. Suppose -j*m + 3*p = -p - 40, 3*m - 51 = -3*p. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 46 = 24. Let i be 1 + m\/(-6) + 675009\/54. Let y be 9\/((-18)\/208)*i. What is y rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7292?\nAnswer: 2, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/369? (a) 1\/3 (b) -15 (c) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -21*k**2 - k. Let d(o) = -10*o. Let j(q) = -16*q. Let n(y) = -3*d(y) + 2*j(y). Give n(z(h)).\nAnswer: 42*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 134, 551, 1238, 2189, 3398, 4859, 6566?\n\"Answer: -g**3 + 141*g**2 + g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/5 + 5170\/50 + 3. Suppose 6*v = r + 277. What is the smallest common multiple of v and 136?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 + 5*x**2. Let t(p) = -p**3 + p**2. Suppose -1250 = 10*n + 12*n - 1228. What is n*m(i) + 3*t(i)?\nAnswer: -i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469 less than or equal to 1468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 3:37 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-140)*(7434\/12)\/(-59).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.229 - 2041\nAnswer: -2040.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5538960 and 3323376?\nAnswer: 16616880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g - 39. Let u(m) be the first derivative of m**2 + 20*m + 1295. What is -5*u(j) - 3*x(j)?\nAnswer: 2*j + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4*r\/(r\/(r*(((r**4\/r)\/r)\/r)\/r))*r**(-8)\/r**8)**(2\/15) assuming r is positive.\nAnswer: r**(-22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5153 and 1?\nAnswer: 5154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1648754633 to the power of 1\/3, to the nearest integer?\nAnswer: 1181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 400041 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 2)*((0 + 1 + 2)*(0 - 2*v + 0) - v + v - v).\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -341*n**3 + n**2 - 3*n - 3. Is s(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 1\/14*s**4 + 0 - 1\/140*s**5 + 0*s - 2\/7*s**3 - 22*s**2. Solve y(j) = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2501 - -2503. Solve -s**4 - 1\/2*s**5 + s**3 + o*s**2 - 1\/2*s - 1 = 0 for s.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152 is divided by 73.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*q**4 - 2*q**3 - 44*q**2 - 31901 with respect to q.\nAnswer: 20*q**3 - 6*q**2 - 88*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/sqrt(112))\/sqrt(3) + (3*sqrt(1331)*-3)**2.\nAnswer: sqrt(11)\/4 + 107811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 1. Let r(a) be the third derivative of a**4\/12 + a**3\/6 - 4*a**2. Suppose -2*f + 8 = 3*p, -7*f + 10 = 3*p - 3*f. Calculate p*c(k) - r(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5350618 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**3 - 14*n**2 - n - 3. Let o be u(6). Let d = -17 - o. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**3 - x**2 + 3*x - 5. Let n(j) = -149*j + 14. Let o(i) = -159*i + 15. Let v(a) = -16*n(a) + 15*o(a). What is q(c) + 3*v(c)?\nAnswer: -4*c**3 - c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742681 is divided by 162?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35624?\nAnswer: 2, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 - 29*w - 5. Let z be f(10). Solve -3 - 4 = g - 3*b, -4*g - z*b = -40 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/675 and 17\/186600.\nAnswer: 1679400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9473161269 to the power of 1\/8, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqeqqqqeqexqqqqqq. What is prob of sequence xeq?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 110365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*b = -15, -5*j = -7*j + 3*b - 15. Solve j = 2*z - 6 - 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442075631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 34 (b) -0.1 (c) -2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 11. What is the smallest value in n, 1\/10, -0.8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1039, 1161, 1369, 1663, 2043?\n\"Answer: 43*u**2 - 7*u + 1003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - n + 4. Suppose q + 0*q + 5*i - 15 = 0, q - 9 = -3*i. What is p(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-609)\/84042*18\/(-40))\/((-9)\/12)\nAnswer: -1\/230","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -15. Suppose 0 = 11*g - g - 130. Solve -3*v + x - g = c*x, v - x = 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -4798702.\nAnswer: -4798702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560 = 2*y - 43*y - 39*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 2. Let v be n(-6). Suppose -a - 7 - 65 = -v*q, 3*q = 3*a + 63. Let b = 8 + 1. Calculate the remainder when q is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3368113566?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 334296 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1077850 or 1077779?\nAnswer: 1077850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 5*p + 5. Let o be n(5). Suppose 16*g + 58 = 26. Put o, 2, g in ascending order.\nAnswer: g, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -237 greater than -12086\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 9a?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8415243?\nAnswer: 3, 37, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) - sqrt(200)*-2) + (3 + sqrt(8))**2 + 5.\nAnswer: 22 + 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 5*w, 0 = -3*x + w - 3*w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3692\/(-5538))\/(188\/6)?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - 2.5. Let y be 6\/(-9)*(-4)\/(192\/9). What is the nearest to 0 in g, 2\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -9. Let w = 133 + -132. Sort k, 2, w, 0.2 in increasing order.\nAnswer: k, 0.2, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67096*y**2 + 67066*y**2 + 2 - 2.\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 505274682 and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*j + 10. Suppose 0 = -p - 2*n - 0*n + j, 5*p - 25 = -2*n. Find the third derivative of -3*g**6 - g**5 - 5*g**2 + g**p + 2*g**2 wrt g.\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/723650 and -27\/12505.\nAnswer: 44142650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-2 - -2 - -8). Suppose o - 2*o + 2 = 0. Solve -o*l - 15 = 5*j, 0*l - l = 3*j + a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63642.\nAnswer: 2, 3, 10607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-3 + sqrt(1100) - sqrt(1100)) + 5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3562813755 to the power of 1\/2, to the nearest integer?\nAnswer: 59689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -3, 131, 5, 90, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1.4. Let l = 2 - 8. Let v = 5.0246 - 0.0246. Sort v, i, l, 0.1 in decreasing order.\nAnswer: v, 0.1, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**2 + 97*c**2 - 47*c**2 + 269*c**2.\nAnswer: 328*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 + 4*w + 3. Let x be d(-2). Suppose -1 = -x*f + 5. Solve 0*n - 6 = f*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24391, -24390, -24389, -24388?\n\"Answer: p - 24392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m + 9, 2*m - 970 = 2*t. Let n = t - -5839\/12. Let i = n - -3\/4. Which is the smallest value? (a) -4 (b) -0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/5 - 2022*2. Let l = 19933\/5 + o. Let z = -61 - l. Which is the second biggest value? (a) z (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 10*d + 8*d - 4 - 10 + d**3 + 20 - 15*d**2. Let x = 8 - -6. What are the prime factors of j(x)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1 = 19. Suppose -61*f + 17*f = -44. What is the nearest to f in -2\/11, r, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.682 + -0.082. Let z = 10.9 - d. Let s = z - -13. Sort -5, s, -0.2 in descending order.\nAnswer: s, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 39*g**2 - 32*g - 112. Determine h(38).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**4 + 14508*o**3 + 35026*o wrt o?\nAnswer: 12*o**2 + 87048*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6*q - 337 = 2*h, 4*q = -5*h + 296. Let u = 44 - q. Let b = u + 60. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - b - 169 = 171, -5*c - 2*b + 325 = 0. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3977, -8369, -12761, -17153?\n\"Answer: -4392*w + 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (48\/(-64))\/(1\/(-4)). Suppose 0 = 10*b + g - 53. Solve p - 9 = 2*l, b*l - l - 5*p = -27 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1829406*h*j - 2101088*j wrt h?\nAnswer: 1829406*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 - 4*p**2 + p**2 + (3*p + 3*p - 5*p)*(-46 + 46 - 136*p).\nAnswer: -137*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167781?\nAnswer: 3, 55927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*j - 62. Let p = -8 - j. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 6. Calculate the remainder when (-2)\/3 - (-44)\/g is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21703 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3000471861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**2 - 231*a + 3362. Calculate v(31).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 4487.6087.\nAnswer: -897.52174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/119)\/(4\/(-4))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -302 + 299.9. Let g = -61.572 - -59.5. Let n = g - b. What is n rounded to three dps?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58)\/261)\/(8\/3).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.326, 2, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**5\/20 + 5*a**4\/12 + 5*a**3\/6 - 5*a**2\/2 - 10*a. Determine b(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168546 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11494743 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159936 is divided by 430.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/3 - 862*c + 88060\/3.\nAnswer: 2*(c - 1258)*(c - 35)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41072924 to the nearest integer?\nAnswer: 6409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/3 and -9\/457395617.\nAnswer: 1372186851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -269 (base 13) in base 9?\nAnswer: -522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 5. Let k be 0 + 1\/(1\/21). Suppose -2*s + k = 3*q, -3*s + 0*q + 37 = -q. Calculate the remainder when s is divided by z(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.873925l?\nAnswer: 873.925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-42)\/(3 - 2). Let a(x) = -5*x - 5. Let h be a(5). Is (g\/(-12))\/((-4)\/h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -5 + 1\/3*r**3 - r - 2*r**2. Calculate o(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15\/382 + 869\/2674. Solve -4\/7*n**2 + 2\/7*n - a*n**3 + 4\/7 = 0 for n.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 0.2138?\nAnswer: 0.2138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 6. Let o(q) = -2*q**2 + 6. What is -2*o(n) + 3*p(n)?\nAnswer: n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b - 5. Let a be -1 + 10 - 12\/(-6). Let x(p) = p + 1. Suppose 11*w - 2*w - 18 = 0. Determine a*x(h) + w*d(h).\nAnswer: 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208896.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 96 + -60. Suppose 5*k = -0*k - 15, 2*k = 3*w + m. Sort 2\/9, w, -0.2 in decreasing order.\nAnswer: 2\/9, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*x + 6, 2*t - 2*x + 4 = -0*t. Does 74 divide 1\/(-2)*626\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -8.97, -39, 3\/4, 0.1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/7 - 33*w**2\/7 - 2626*w\/7 + 16728\/7.\nAnswer: (w - 68)*(w - 6)*(w + 41)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 8:41 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g - 4. Let m(u) = 4 - 14*u - 3 - 12. Let v(y) = -11*k(y) + 4*m(y). Let c(q) = 76*q**2. Calculate v(c(j)).\nAnswer: -76*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -3*b + b. What are the prime factors of b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeejtjejteje. Give prob of sequence jj.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -605 and 55500661?\nAnswer: 55501266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -4. Let u be 1 + g - (-3 + 1). Suppose n = 4*n - u. What is the lowest common multiple of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -2\/11, 4, -170 in decreasing order.\nAnswer: 4, 1, -2\/11, -5, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3187 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: Factor 2*l**2 + 14772*l + 13766896.\nAnswer: 2*(l + 1094)*(l + 6292)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 + 118 = 111*n. Solve 3*x + 32 = n*z + 3*z, -4*x - 12 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2063 is divided by 681?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*r - q - 2399, -104 = -4*r + 2*q + 956. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + -1 + (-252)\/(-127). Let a = v - 240\/889. What is the closest to a in 0.3, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 35*i**2 - 298*i - 3799. What is w(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 10*x**2 + 59*x + 5. Let k be n(5). Let c = k + -693. Do c and -143 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -196) + -234 + 438 + -249.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1236801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 25 + 24 + 0.\nAnswer: -2*x + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5252917 to the nearest integer?\nAnswer: 2292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -5*t + 2, 0 = 2*b + b + 5*t - 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*b = 76 + 152, -s + 276 = -2*b. Calculate the highest common factor of 510 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 3*d + 10, 2*h + 61882*d - 35 = 61877*d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w - 2. Let n(f) = 10*f - 7. Let b be (14\/(-10))\/((38\/10)\/19). Suppose -3*i - 3*s - 1 = i, -5*i = -2*s - 16. Determine b*d(h) + i*n(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (256\/224*(-21)\/(-162))\/(62\/93)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826525616?\nAnswer: 2, 7, 557, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = l + 12, -3*l - 10 = -3*r + 8. Let x be 1 - (l - (0 + -3)). Find the third derivative of -2*g**6 - 25*g + 5*g**x + 25*g wrt g.\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 7:09 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -23\nAnswer: 6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-37)\/(-58) + 2*(-1)\/4. Which is greater: -2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 478742 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s**2 + 35*s - 23. Calculate a(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, l: 3, b: 3}. Give prob of picking 1 b and 1 l.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003441 rounded to four dps?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -3*o**4\/4 - 17*o**3\/2 - 24*o**2. Let j be b(-22). Let g = j + -164. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -614 + -36620?\nAnswer: -40534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.76314km to millimeters.\nAnswer: 99763140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 198728 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + -2*sqrt(192) - sqrt(192)) + 0 + 1*(2 + sqrt(192)))**2 - (((sqrt(33) + sqrt(99)\/sqrt(3)*1)\/(sqrt(396)\/sqrt(4)))**2 + -2).\nAnswer: -32*sqrt(3) + 590\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.085 + -113.085. Which is bigger: i or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10791611 - 250948.\nAnswer: 10540663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -x - 0. Calculate the common denominator of -1 - 13\/3 - x and (92\/(-14))\/(720\/(-756)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(171) - (sqrt(171) + sqrt(171) + 1*1*sqrt(171) + sqrt(171)))\/(sqrt(9) + (sqrt(1089) + sqrt(1089) + 1*sqrt(1089) - sqrt(1089))).\nAnswer: -3*sqrt(19)\/23 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/552*-23*-60?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*j - 2159 = 1389, -5*j + 10672 = 3*f. Calculate the lowest common multiple of 2 and f.\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 6*c**3 + 0 + 2*c**3 - 6 to the form m + p*c**3 + y*c**2 + g*c and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -840 (base 13) to base 5.\nAnswer: -21104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -66 - 394*r + 134 - 67 in the form j + f*r and give f.\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*((-15)\/6)\/(-5). Suppose 2*n - 20 = -3*n. What is the nearest to a in -0.3, n, 0.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*h + g = 6*h + 69*h - 4*g - 546, 4*g - 5*g - 14 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**3 - 3*d**2 + d. Let f(v) = 5*v**3 + 4*v**2 - 2*v. Let o be ((-80)\/(-6))\/(-5) + 2\/(-6). Determine o*f(i) - 4*n(i).\nAnswer: i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**2\/4 - 1113321*b\/4 - 4453476 = 0.\nAnswer: -16, 371123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 105*u - 99*u. What are the prime factors of 1045 - (0\/u + 7)?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8772.052 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1101 and 4?\nAnswer: 4404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzlg when four letters picked without replacement from {g: 5, z: 4, l: 6}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a + 0*a = -322. Suppose 5*g - 82 = 58. Let f = g + a. Solve 2*p = 3*w - 2, -w = f*p - 4*w + 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 1. Let j(w) = -w + 3 - w - 1. Let g = 73 + -72. Calculate g*j(h) - v(h).\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 21582750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 287620 and 41764?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 11*o**4 + 9*o**3 - 9*o + 41. Let q(y) = 3*y**4 + 2*y**3 - 2*y + 10. Let d(b) = -2*h(b) + 9*q(b). Differentiate d(m) with respect to m.\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -44 + 43 - (2 - 886)\/2. Let d = 442 - j. Put -3, d, 1\/6, 2\/15 in ascending order.\nAnswer: -3, 2\/15, 1\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-224))\/(4\/144)*(-8)\/(-2862)?\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -2. Let w(k) = -k**3 + 13*k**2 - 11*k - 17. Let a be w(12). Let m = 13 + -12. Sort m, a, d in ascending order.\nAnswer: a, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8812*p = 8763*p - 1911 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15136.9*2.\nAnswer: 30273.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 89813579 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/45 and ((-635)\/45 - -4 - -2)\/6?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 28*i**2 - 32*i - 132. What is d(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 484*o - 138*o - 149*o - 165*o + 356 - 117*o - o**2 = 0?\nAnswer: -89, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 137\/3 + -46. What is the nearest to z in 5, -3\/7, 0?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5557 is divided by 2776?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10952)\/185*(-10)\/80?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1164046*b**2 - 2*b + 82209.\nAnswer: 2328092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (369\/(-66))\/3 - (-2)\/4. Let i = p - -23\/33. Which is the third biggest value? (a) -1 (b) 0.16 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**23\/a)\/a)\/a)\/(a\/a**(3\/13))*a\/(a*((a*a**(-2\/13))\/a)\/a)*(a*a**(1\/9))\/a assuming a is positive.\nAnswer: a**(2398\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 363907261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - a3?\nAnswer: -9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2745137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -235 + 237. Solve 0 = 2*c - 0*c - f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 835 + -276. Let u = f - 554. Factor 4802\/3*y + 2\/15*y**u - 33614\/15 + 196\/3*y**3 - 14\/3*y**4 - 1372\/3*y**2.\nAnswer: 2*(y - 7)**5\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9830 and 98300.\nAnswer: 98300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-34))\/(40\/200*(-650)\/312).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1056303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o**3 - 2*o**2 + o. Let p(w) = -2*w**3 + w**2 - 3. Let s(x) = -3*x**3 - 5*x**2 + 2*x + 6. Let u(c) = 2*p(c) + s(c). Determine 3*k(n) - 2*u(n).\nAnswer: -4*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1961 = -4*p + d, d = 5*p + 4*d - 2430. Suppose 5*r = -4*b - p + 166, -5*r - b = 317. What is the tens digit of ((r\/4)\/(-7))\/(5\/60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49989*w**3 - 27397*w**2 wrt w?\nAnswer: -299934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 12:32 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 0*s**2 + 13 + 2*s**2.\nAnswer: 2*s**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.975 - -7.5. Let h = 4.4749995903 + i. What is h rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -205 * -3\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2. Let d(l) = 1822585*l. Calculate d(t(c)).\nAnswer: 7290340*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243*0.0328394.\nAnswer: 7.9799742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 14*t - t + 4*t - 2*t**2 + 20 + t**2. Let z be p(18). Suppose z*l + 1440000 = -l. Round l to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 - 65. Suppose -z*b + 9 - 3 = 0. Let o(c) = b + 8*c + 2 - 7*c. What is o(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2\/7*l**5 - 240\/7*l - 10\/7*l**3 - 284\/7*l**2 + 32\/7*l**4 + 0 = 0.\nAnswer: -2, -1, 0, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -l - 29. Solve -4*i - 2*b = i + 21, b + 12 = -l*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 x when four letters picked without replacement from {c: 2, p: 1, x: 7}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 170.283 + -170.28188257. What is i rounded to five decimal places?\nAnswer: 0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/9, 14, 2\/83 in descending order.\nAnswer: 14, 3, 2\/9, 2\/83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 - 59. Suppose -w*a = 9*a - 735. Calculate the remainder when a is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k - 5. Let p be g(-4). Suppose 0 = 4*r - j - 8, -r = p*r + 5*j + 16. Let m = 7 - r. Calculate the remainder when 16 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -667*v + 764*v - 172 = 1186 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117510*q = -117726*q + 558 - 10710 for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26713?\nAnswer: 26713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4451831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -221, -374, -513, -632, -725, -786, -809?\n\"Answer: l**3 + l**2 - 163*l - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9339*d**2 - 37363*d**2 - 18*d**3 + 9341*d**2 + 9342*d**2 + 9341*d**2 + 15*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79 and 158079?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v - 3. Let h be (-4 - -2) + 5 + 3. Suppose r - h = v. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 1324 = -6*w. Let o = w - 231. Calculate the highest common factor of 25 and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 - 446 + 140 = -23*l. Suppose 0 = -2*w + 3*w - 177. What is the remainder when w is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsssszssszzssssz. Give prob of sequence sz.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85767*d**2*l**2 + 12*d**2*l + 33*d**2 - 187*d*l**3 - 3*d*l - l**2 + 3*l - 76 wrt l?\nAnswer: 171534*d**2 - 1122*d*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(80) + -3 + ((sqrt(165)*2)\/sqrt(11) + sqrt(15))\/sqrt(3).\nAnswer: -3 + 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 793 + 4?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 142, 514, 1142, 2032, 3190, 4622, 6334, 8332?\n\"Answer: v**3 + 122*v**2 - v + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 + -4 + -3 + -14*(7 - 8). Let n(r) = -5*r**2 + 82*r - 9. Determine n(g).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 21*w + 736. Let q be h(44). What is the highest common divisor of 276 and q?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -212.8 or -76\/5?\nAnswer: -76\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 + 43*h**2\/3 - 110*h.\nAnswer: -h*(h - 33)*(h - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/8 (b) -5 (c) 8 (d) 6 (e) -1 (f) -3 (g) 0.65509\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1800 and 13725?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - q + 10. Let p be r(0). Suppose 3*i - w - 80 = 0, 2*i - p = 5*w + 52. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1045979*g**2*r**3 + 252*g**2*r**2 + 684*g**2*r wrt r?\nAnswer: 6275874*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -15*c + 3*c + 25*c + 8*c - 138. What is the hundreds digit of u(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**2\/7 + 2486319*v\/7 + 4972650\/7 = 0. What is v?\nAnswer: -2, 828775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(190)\/(sqrt(1000) + sqrt(1000)*2))**2 - ((sqrt(684) - (-6*((1*sqrt(684) - sqrt(684))**2 - sqrt(684)) + sqrt(684))) + 2).\nAnswer: -181\/100 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.016287, -0.2, -3, -43?\nAnswer: 3.016287","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-90)*-10*12\/(-40)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, -3, 2\/9, 0.03, 0.5, 23.\nAnswer: -3, 0.03, 2\/9, 0.5, 1.3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 3*k + 2*k. Suppose -7*b - 15 = -k*b. Let f be 912 + (-7 - -2) + b. What is f rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25550448 a multiple of 446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81556 - -81556. Let a(p) = -p**3 - 5*p**2 - 2*p - 3. Let q be a(-5). Let o = 4 - q. Sort l, o, 0.1 in decreasing order.\nAnswer: 0.1, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 0, 2*t - 2 = -3*c + 4. Let x be (11\/2 - 0) + (-1)\/c. What is the second derivative of -13*i**x - 4*i - 3*i - 4*i wrt i?\nAnswer: -260*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/27130208 and -11\/3875744?\nAnswer: 27130208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13.4, -50 in ascending order.\nAnswer: -50, -13.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-6)\/14)\/(-1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**4 + 270*v**3 + 7673*v**2 + 13476*v - 21420 = 0.\nAnswer: -238, -30, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 70. Let z = m + 54.0000023. What is z rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1020 + 1900. Let u be (-2)\/(-9) + f\/90. Suppose u = -3*k + 4*y - 2, -k = 5*y - 15. What is the nearest to k in -0.2, 1\/6, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152537515?\nAnswer: 5, 13, 17, 31, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14351545 - 2233?\nAnswer: -14354222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28480 is divided by 535?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 2*t + 17, 3*i + 883*t - 879*t + 25 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.09 - -45537.\nAnswer: 45535.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.093 - 0.093. Let q = -5 - -2. What is the third biggest value in 16, q, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from yyheffhyyhyyyyhqy?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*w - 208*w + 106*w to t*w + z and give t.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3157937 to the power of 1\/2, to the nearest integer?\nAnswer: 1777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6778?\nAnswer: 2, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1636825820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 1. Let m = -6 - -12. Let b(a) = -m + 4 + 2 - a. Let c be b(6). Let q(h) = 4*h**2 + 6. Give c*u(w) - q(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 - -80.956. Let x = t + -0.906. Let d = -0.95 - x. Sort -0.5, d, -5.\nAnswer: -5, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3254402 - -14453?\nAnswer: 3313255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22257.1 + 22257. Let u = -0.1 - 0. Which is the closest to k? (a) u (b) -12 (c) 2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1503, -5899, -13231, -23505, -36727, -52903?\n\"Answer: -j**3 - 1462*j**2 - 3*j - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*s = 2, -5*n = -s - s - 10. Solve -5*x = -n*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r + 4. Let h(x) = -2*x - 11. Let y = 9 + -9. Suppose 4*p + 38 = -y*p + 2*u, 0 = 4*p + 3*u + 13. Let a be h(p). Give s(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70232320633 minus 0.11?\nAnswer: 70232320632.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v**2 + 6*v + 3. Let a be t(7). Let k(c) = -3*c**3 + 6*c**2 + 9*c + 19. Let p be k(-5). Let o = p - a. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5490.2 decades to years.\nAnswer: 54902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1061086 is divided by 353692.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*v**2 + 201*v**2 - 164*v**2.\nAnswer: -216*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -32. Suppose -5*x + 4*c = -k*c + 4, -2*c + 2 = 5*x. Solve h = u - 2, x = -3*h - 5*u - 30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296.38804 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + u = -u - 18, -3*u - 7 = n. Suppose n = 3*a - 7. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmlllmmlmmlmmmlmmlm. What is prob of sequence mmmm?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -19*s**3 - 5*s**2 - 5*s. Let d(m) = -180*m**3 - 48*m**2 - 48*m. Determine 5*d(v) - 48*h(v).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddodbdubpbb. Give prob of picking 2 b.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*v + 840 = -21*v + 92*v. Solve 0 = -5*n - v*n + 22 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -11. What is the tens digit of h\/(-18) + (-695)\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*m - 2*w + 405, -262 = -2*m - w. Suppose m - 34 = 5*c. What is the greatest common factor of c and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9898 + 9898 - 4*t + 4*t**3 to the form j + z*t**2 + r*t**3 + q*t and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 346549792189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*j - 5 = 15, -4*j + 35 = -3*w. What is the tens digit of 156 - (-1 + w + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2034936*f**2 - 340798*f?\nAnswer: -4069872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(-12087)*-1)\/((-4)\/18).\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 9*z + 299, 0*i - 129 = -i - 233*z + 237*z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 7*g - 4. Let b(y) = 15*y - 7. Let n(c) = 6*b(c) - 13*k(c). Let v be n(8). Let o = v - -35. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 780 is divided by 265?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4389 and 0.07?\nAnswer: 4389.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**4 + 449*m**2 - 450*m**2 + 5*m + m**3 - 3*m to the form b*m + r*m**4 + s + f*m**3 + t*m**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/3 + -1 - -20. Solve -2*w + 7*w = -g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1271, -5 in decreasing order.\nAnswer: 1271, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7961409998?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1705*0.02869\nAnswer: 48.91645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 4\/3*n**3 + 0*n + 1\/72*n**4 - 11\/2160*n**6 + 0*n**2 - 1\/80*n**5 + 4. Let d(q) be the third derivative of w(q). Factor d(v).\nAnswer: -(v + 1)*(11*v - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5705\/(-840) - 16\/12) + 10\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18\/(-24)*(-1)\/(-3) + 245\/4 is divided by 43.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7294 - 7294 - 12*h + 35*h.\nAnswer: 23*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49941.88482 rounded to the nearest ten?\nAnswer: 49940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 - 8\/16. Let k(l) = l**2 + l - 9. Let s(y) = y**2 + y - 10. Let v(f) = -5*k(f) + 4*s(f). Calculate v(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 - 0.97. Let g = 11\/116 + 9\/58. Let u be (-2)\/(-1)*-3*3\/2. What is the third biggest value in u, x, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -350*n**3 - 23*n**2 - 10*n + 13904. Let f(a) = 173*a**3 + 11*a**2 + 4*a - 6952. Let o(i) = 7*f(i) + 3*m(i). Differentiate o(k) wrt k.\nAnswer: 483*k**2 + 16*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57594389 = -6*l - 70259395. Let d = -8308964 - l. Round d to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2cc4b7 (base 13) to base 2\nAnswer: 100001111100110111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**1)\/z)**(-23)*z*z*z**7*z\/z**(-3))\/((z**(3\/4)*z*z\/(z\/((((z*z**(-7))\/z*z)\/z)\/z)))\/(z**(3\/4)\/((z**(-1\/2)*z)\/z))) assuming z is positive.\nAnswer: z**(87\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(891) + -1)*3)*-4 + 1.\nAnswer: -108*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -302200, -302202, -302204, -302206?\n\"Answer: -2*z - 302198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224.25276 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -216\/7 bigger than 1.2522?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1326489 is divided by 21735?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*h - 267*h = 732 - 3032. What is the least common multiple of h and 937?\nAnswer: 4685","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 604.0704 micrograms?\nAnswer: 0.6040704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.74028221 to three decimal places.\nAnswer: -11.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/40 and 43\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 j when two letters picked without replacement from jtftiih?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4860697 is divided by 607587.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 + 5*c - 8*c + 3*c to w*c + j*c**2 + h and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -7*z**3 - 2*z**2 + 2*z + 2. Let s(o) = 21*o**3 + 7*o**2 - 7*o - 7. What is 7*i(h) + 2*s(h)?\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3825.005918 - -3825. What is s rounded to 4 dps?\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.51483 take away 2160.696?\nAnswer: -2152.18117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/105 and (-12 + 6)\/(-6) + -2 - 172\/(-99).\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 11:23 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - -1*(-28)\/(-4). Let s(u) = 4*u**2 - u**3 + 5 + 3 - 18 + 5. Calculate s(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409aa8 (base 14) in base 10?\nAnswer: 2178100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644484?\nAnswer: 2, 3, 43, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**6\/255 + 11*b**5\/170 - 139*b**4\/34 + 2849*b**3\/51 - 5684*b**2\/17 - 107*b - 9. Find f, given that m(f) = 0.\nAnswer: -29, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**5\/570 - 175*t**4\/228 + 176*t**3\/57 + 750*t**2. Factor k(z).\nAnswer: -2*(z - 1)*(z + 176)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/11 and 24\/1667?\nAnswer: 18337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 461, 773, 1085?\n\"Answer: 312*r + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -14 - (6 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -106420357*p**3 - 1927*p**2 - 9698*p?\nAnswer: -638522142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 0*s**4 + s**2 + 35\/6*s**3 + 0*s + 0*s**5 - 7\/120*s**6 + 0. Differentiate h(u) wrt u.\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 5. Suppose s*c - 6 = 2*c. Let p = 0.2 + -0.4. What is the third biggest value in c, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 75*v - 76*v - 3, -3*v + 69*i = 36*i + 29*i + 14 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 39 + 464)*(11 - 11 + 4*s**4).\nAnswer: 1984*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 323 + -323. Let x(v) be the second derivative of 0*v**5 + 0 + 1\/120*v**6 - 1\/56*v**7 + n*v**4 + 7*v + 0*v**3 + 0*v**2. Factor x(q).\nAnswer: -q**4*(3*q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*c + 20869, 2*c + 4*k + 13916 = 4*c. Let a be 1*4 + (-27812)\/c. Let t = 112795\/38214 - a. Calculate the common denominator of t and 97\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, h: 7}. What is prob of picking 3 h?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -1\/336*i**8 + 0*i**7 + 0 + 0*i - 1\/60*i**5 + 0*i**3 + 2*i**2 + 0*i**6 + 0*i**4. Find the third derivative of q(x) wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3501756 < -3501751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6225 rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16003091 and 93970?\nAnswer: 160030910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -18.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(200) - (sqrt(200) + (sqrt(200) - (sqrt(200) - sqrt(200)*-2))))\/sqrt(5))\/(4*(sqrt(128) - sqrt(8))).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-35))\/(163\/15 + -11)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 123*r**2 - 5043*r - 68921.\nAnswer: -(r + 41)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1052693 rounded to three decimal places?\nAnswer: 0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**3\/2 - 102407*b**2 - 1638561*b\/2 - 1536165 = 0.\nAnswer: -5, -3, 204822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1001 and 913?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 372*i**2 + 2*i - 2. Let a(p) = -2*p + 9625. What is a(m(v))?\nAnswer: -744*v**2 - 4*v + 9629","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 125\/(8 - 3) + 2. Suppose -25*h = -34*h - a. Let b = 35 - 32. Sort 4, 11, h, b in ascending order.\nAnswer: h, b, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/(-16)*(-599 + 595)?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.4, -2, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 2*h**2 - 3*h + 1. Let w be c(3). Let y be 15\/(-42) + w\/(-7). Put y, 1, -10 in ascending order.\nAnswer: -10, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -80772*m**4 + 0*m**2 + 0*m**2 - 2*m**3 + 80633*m**4 - 2*m**2 as d*m**4 + c*m**3 + t*m**2 + o*m + r and give d.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 9.09. Let h = k - -0.59. Let l = 26\/3 + -9. Which is the closest to 0? (a) h (b) -0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + k - 16. Let x(m) = -m**3 - 18*m**2 + 5*m + 30. Let b be x(-18). What is the remainder when (b\/(-70))\/((-12)\/(-280)) is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*p + 1039 = 3*p, -2*p - 2086 = -2*q. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 2:47 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j**2. Let r(f) = -411*f**2. Give z(r(a)).\nAnswer: -844605*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 14*c + 2*c**2 - 3*c**2 + 4 - 5*c. Let h be j(9). Find the second derivative of 0*s - 4*s**h + s + 5*s**4 wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**2 + o. Let b be r(-1). Suppose 5*f + 4*p = 10, -f + b*f = -5*p - 7. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i**2. Let t(v) = 58*v**2. Calculate n(t(m)).\nAnswer: 20184*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 37 and 2140307808?\nAnswer: 2140307771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75484*x + 75388*x + 96 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/8 and 23\/45 - -2 - (24 + -22).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(105\/(-9))*19\/((-684)\/24).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*3\/(-120))\/((-46)\/325) - 180\/480.\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1034020 - 57?\nAnswer: -1034077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 434590513 to the nearest integer?\nAnswer: 20847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 12:50 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3814 + 3825.933. Let m = -26 - -38. Let z = q - m. What is z rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 17, -52, -149?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 41?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -230582*h. Let z(k) = -1965*k. What is f(z(j))?\nAnswer: 453093630*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -97*i**2 - 45. Let s(k) = 1554*k**2 + 721. Let z(m) = -49*g(m) - 3*s(m). Differentiate z(l) wrt l.\nAnswer: 182*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408 - 19482 = -39*t. What is the remainder when t is divided by 224?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 4*w + 11*h - 38, -3*h - 39 = -2*w. Solve 0 = -4*p + w, 0 = g + 4*p - 5 - 7 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1, 0.0109?\nAnswer: 0.0109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1112248 is divided by 370736.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2598347.\nAnswer: 2598347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 98*t**2 + 123*t + 24. What is the tens digit of z(-100)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8671231 (base 9) to base 4\nAnswer: -101233321330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 22*p**2 + 0 + 1\/12*p**4 + 0*p + 0*p**3. Let t(d) = -2*d**2 - d**2 - d**2 + 5*d**2. Determine r(t(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 99580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 4539481591*r**2 - 4539481766*r**2 + 2*r.\nAnswer: -175*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 496, 3053, 7312, 13273?\n\"Answer: 851*m**2 + 4*m - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + 15. Let t = 329\/6 - p. Let g(v) = 2*v**2 + 38*v + 40. Let f be g(-18). Which is the closest to 2\/7? (a) f (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7040, -14309, -21578, -28847, -36116, -43385?\n\"Answer: -7269*y + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (16 + (-882)\/70). What is the closest to 1\/86 in -0.1, s, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**4\/12 - 4*k**3\/3 - 5*k**2\/2 + 2*k. Let l be d(-7). Suppose 6*a = 4 + 20. Solve -a = b + r, -3 + 1 = -l*b + 3*r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 5*j**2 - 5*j + 4. Let s be 3\/((-2)\/(-8)*4). Let x be y(s). What is the smallest common multiple of -4 + (x - 1) + 5 and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 9 = 29. Let v be (1 + -2)\/(n + 4). Solve 0 = -d - 2 - v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706576037?\nAnswer: 67, 10545911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 11*k**3 - 271*k**2 - 565*k + 147. Let l(x) = 10*x**3 - 270*x**2 - 570*x + 146. Let c(q) = -5*l(q) + 6*r(q). Let c(o) = 0. Calculate o.\nAnswer: -2, 1\/4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -1. Suppose -26 + 10 = -x*t. Solve -r = -0*r + t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 + 554 - 569 + 7*f**3.\nAnswer: 4*f**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 98181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 12955*a + 64762. Calculate t(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 56, -3373, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-40) - ((-3627)\/(-1080))\/13.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-7 - -1 - (20 + -16))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m - 8*m + 3*m + (2*m + 2*m - 2*m)*(10 + 89 - 22 + 0 + 10 + 1 - 2 - 2 + 3 + (3 + 1 - 6)*(-2 + 3 + 0)) as o + a*m and give a.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29168060329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.072864985059 from 0.1.\nAnswer: 0.172864985059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)\/p*p\/((p*p**(1\/2))\/p*p)*p**(-13)*p**(7\/3))**(-9\/2) assuming p is positive.\nAnswer: p**(255\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -57, -106, -147, -174, -181?\n\"Answer: d**3 - 2*d**2 - 50*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/27*(-1)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64289557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -5\/6*w**3 - 2*w + 0 + 1\/4*w**4 + 1\/20*w**5 + w**2. Suppose 4*z = -2*a - 24, 5*a + z + 23 = -1. Determine c(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 3 (c) 30 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-10))\/(2*5\/100)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 + -96. Let y(p) be the first derivative of 3*p + 4\/3*p**3 + 3 + 0*p**w. What is the derivative of y(s) wrt s?\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 407 - 396. Suppose -n*r = -59 - 84. Suppose -c = -2*c + 15. Solve -k + c = 4*m + 1, m - r = -5*k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1\/3, 16965?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22012 (base 4) in base 15?\nAnswer: 2d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s + 3. Determine j(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6519 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 43 + 1 - ((6 - -12) + 0)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 9. Let h be r(7). Suppose 5*y + 1637 = 2*k, 440 = -h*k + y + 2057. Let s = -4083\/5 + k. What is the common denominator of 83\/6 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11158 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -47907 less than -47953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -415, -823, -1223, -1615?\n\"Answer: 4*w**2 - 420*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6131714, -12263430, -18395146, -24526862, -30658578, -36790294?\n\"Answer: -6131716*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**3 + 6*s**2 - 12*s + 3. Let k be m(2). Find y, given that -867 + 35*y**2 + 67*y - 38*y**2 + k*y = 0.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3*w + 20. Suppose 0 = -w*j + 3*o + 1, -3*o = -8 - 1. Solve j*q = -0*n - n - 12, 23 = -5*q + n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 109*p**3 + 6*p**2 + 4*p - 6. Let x(c) = c**3 - c**2 - c + 1. Determine -w(l) - 6*x(l).\nAnswer: -115*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -56, 30, 0.01, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1272*x**2 - 5093*x**2 + 1262*x**2 + 1285*x**2 + 1267*x**2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -13. Suppose 3*w + 6 = t, 4*h - 2*h - 4*w - 229246 = 0. Let d = h - 24619. Round d to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 190\/76*(-6)\/5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13995 + 14065. Calculate the remainder when 317 is divided by b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 61. What is the fourth biggest value in -2\/9, -2\/11, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8\/25 of a millimeter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + x + 324643, -4*r + 493987 = -3*x + 169346. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 5 - (-336 + 358).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 370200134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z\/z**0)))**27\/((z\/(z\/z**0))\/(z**(1\/3)*z))*((z**(-4))**(-2\/99))**(-2) assuming z is positive.\nAnswer: z**(2789\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7680 and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 449084.998?\nAnswer: -449081.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 7*a**2 + 2*a + 9. Let y be z(-6). Solve -2*n = 3*l - 2, -5*n = -4*l + 2*l + y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + sqrt(432) + (sqrt(2352)*-1 - sqrt(2352))**2)*-1.\nAnswer: -37620 - 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6348*k**2 - 6352*k**2 + 33*k - 33*k.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-2))\/(5\/((-65)\/(-13))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 2*t - 397. Let y be h(-21). Solve -y*z - 6*z - 8 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 2*p + 10. Let g be c(4). Suppose o = g*i + 4731, -4*i = -9*i + 20. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2*n = 3*n + 15, -x + 4*n = 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 25246 (c) 4 (d) 3\/2 (e) 1 (f) -14 (g) 1.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 less than -6.03901?\nAnswer: -251.03901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.2, 0.3, -0.4, 10\/6027?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 466*v + 270 wrt v?\nAnswer: 466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.11 and 105918.3424.\nAnswer: 105918.4524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 196910350?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 9:22 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 47291.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 7:28 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.1 and -0.23246?\nAnswer: 3.045226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*p**3 - 2642.\nAnswer: 105*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10075 + -7051. Let a = w + 6889. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r + 0*r - 5*r)*(3 - 4*r**2 - 3)*(-4*r + 2*r + r) in the form v*r**4 + y + q*r**3 + j*r**2 + g*r and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, -2.43, 1, -3, 6\/11 in increasing order.\nAnswer: -3, -2.43, 6\/11, 1, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*b - 2*k + k, -2*b = -4*k - 18. Suppose -350 = -2*g - 2*y, -123 - 575 = -4*g - b*y. Does 50 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 0*h + 0*h)*(-h + 7*h - 4*h) + (-6 + 6 - h**2)*(2*h - 2*h - 2*h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**2 + 2*r**3 - r**3 + 0*r**3 + 3*r**2 - 2*r as k*r**3 + s*r**2 + g + d*r and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p - 5*p + 4*p - 57*p.\nAnswer: -74*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 8, -3*a - 116 = -4*u + 2*a. Let s(h) = -34 + 58 - u + 17*h. Let o(i) = -i. Determine o(s(d)).\nAnswer: -17*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 151.7 - 151.70102. What is q rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1512)\/(-210))\/(15\/(75\/2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 999.1 + -1070.1. Which is the nearest to -0.2? (a) x (b) -2\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111110111101010111100 (base 2) in base 7?\nAnswer: -131004056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 4*y + 4, 5*p - 3*y + 8 = -y. Let a = 2 - 4. Let k = p - a. Solve k = 2*q - 0*q + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27813 and 34.8.\nAnswer: 967892.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1480 divided by 296\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81842 is divided by 27238.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/6)\/((-36)\/54)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 4222.\nAnswer: -422.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 2 - 8. Let y = -603039 - -86233117\/143. Let c = 114\/11 + y. What is the nearest to 2 in o, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/8 of a gram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 176 - (0 - (-1 + 5)). Suppose -20*h - n = -35*h. What is the highest common factor of 48 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3247 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**3\/17 - 8198*n**2\/17 + 5427640*n\/17 = 0.\nAnswer: -4679, 0, 580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 1372 in ascending order.\nAnswer: -2, 3, 1372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n = -62*n. Let s(v) be the first derivative of 0*v**2 - 16\/3*v**3 - v**4 + n*v + 4. Determine c so that s(c) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -556356*s**3 - 1 + 556361*s**3 + 1.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.094 times 0.21284\nAnswer: -0.02000696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 801 and 2581?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**5\/20 + u**2\/2 + 20*u. Calculate d(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - l + 4*l)*(l**2 + 2*l**2 + 7*l**2).\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -296\/707 + -1\/101. Let a = 31\/56 + s. Let v be 1 - 2 - (-9)\/7. Put a, -2, v in decreasing order.\nAnswer: v, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 449*r**5 + 515*r**5 - 1221*r**5 + 0*r**5 - 3*r**5 + 5*r**5 + (r**2 + 3*r**2 - 5*r**2)*(-r**3 + 2*r**3 - 3*r**3).\nAnswer: -253*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 7*g**2 - 5*g. Let k be -5*(36\/(-10))\/(-3). Let x be v(k). Is 148\/(-6)*9\/x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92 - (2 + 11 + 5 + -535 + 508).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1761623733 to the nearest integer?\nAnswer: 41972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192 and 2940.\nAnswer: 47040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -12, -35, -78, -147?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, 6790, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0057755524 rounded to six dps?\nAnswer: 0.005776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1116 and 1164?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -2, -2\/9, 115187?\nAnswer: 115187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3157.739 millennia?\nAnswer: 31577.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 210281 (base 9) in base 11?\nAnswer: 85920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(1\/(2\/(-4))). Let x = -6949\/18 + 806\/9. Let w = 1187\/4 + x. What is the third biggest value in f, 0.5, w, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9149*q + 9124*q = 18505*q - 14296 + 2928 for q.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014122 rounded to 4 decimal places?\nAnswer: 0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10 + 9)\/((-4)\/80). Solve 3*l + 10 = 2*a + 6, -5*l - 2*a + m = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*g + 938 + 172 + 440 = 0 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzztzzz. What is prob of sequence tzz?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -276*a**4*p**2*x + 61*a**3*p*x**3 + 21567*a**2*p**2*x**2 + 2*a*x**3 - 2*p*x wrt a.\nAnswer: -6624*a*p**2*x + 366*p*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 59. Let d = f + 1.0007. Round d to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.7 and 0.0934?\nAnswer: 0.7934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**3\/h))\/h)**21 assuming h is positive.\nAnswer: h**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/q**(-1\/5)*q)\/q)\/q**(-5)*q**1*q\/(q**(-3)\/q*q) assuming q is positive.\nAnswer: q**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2252988 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjl when three letters picked without replacement from {j: 1, z: 1, c: 1, l: 1, v: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -26855 (base 12) in base 15?\nAnswer: -10ac2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a litre in millilitres?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 259, 504, 751, 1000?\nAnswer: 1251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -0.67\nAnswer: 0.0402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**4 + 2*i**3 - 2*i**3)*(-2*i + 2*i + i + (1 + 3 - 2)*(4 - 4 - i)).\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**4*d)**(-5\/4) assuming d is positive.\nAnswer: d**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57369 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -883 - -683. What is the biggest value in -1, d, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 383 minus 234?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x**2 + 66*x - 9. What is p(11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (81\/(-6))\/(((-210)\/(-28))\/(-15))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 192 = -37*f. Is 213308\/40 - f\/20 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -104, -0.2, 3, 1.477?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 131587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-38))\/2 - 3624\/228\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*t - 8, -4*t = -4*j + j - 24. Solve 0*s + 15 = -y - t*s, 0 = -3*y - 3*s - 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1594 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*b - 17*b + 5280. What is the highest common factor of b and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 89, 317, 761, 1493?\nAnswer: 2585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 1542 + 710 = 0. List the prime factors of w.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7322035 is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 + 2*r + 1. Let q be g(-1). Is (0 - q)\/(6\/(-11298)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccif when four letters picked without replacement from {u: 4, c: 2, i: 4, f: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/6)\/((-6)\/(-48)*-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-280)\/54)\/(-4)*8\/(-5)*6072\/(-8096)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/751 and 55\/12832.\nAnswer: 9636832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-266)\/42 + 7)*4\/3. Let i(a) be the first derivative of 4\/27*a**3 + 30 - 2\/3*a**2 + v*a. Solve i(r) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwddyyddydw. Give prob of sequence dd.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 723875.2ug to milligrams.\nAnswer: 723.8752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 2. Let p be z(6). Suppose 267 = 20*n - 53. Let a be p\/(-10) + n\/10. Solve 4 = 3*i - a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 5*o**2 + 4*o**2)*(-2 + 25*o - 5*o + 3)*(-15 + o + 15)*(1 + o - 1).\nAnswer: 20*o**5 + o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 27 = 4*y. Calculate the remainder when (-915)\/(-10) + -3 - 80\/32 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19425 is divided by 4844?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 - 12*s**3 + 13*s**3 + 34 + 2*s**2 + s in the form d*s**3 + b + l*s**2 + x*s and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(4)*-2 + (sqrt(19) - (3 + (sqrt(171))**2 - sqrt(19))).\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3\/3 - 58942*h**2\/3 + 412873648*h\/3 + 319077529192\/3 = 0 for h.\nAnswer: -701, 15086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + t + 1. Let v(h) = 4*h**2 + h + 1. Let l(u) = j(u) - v(u). Let d(w) = 2*w**2 - 13*w - 8*w + 21*w. What is l(d(x))?\nAnswer: -20*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 6*n**2 + 4*n - 9. Let g be q(-4). Suppose -2*r = 5*r - g. Solve 3 = 2*p - r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/64*12*(-3)\/(-27)*6*170.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.2 - 0.25879889991\nAnswer: -2.45879889991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -410240202 (base 5) to base 15.\nAnswer: -228abc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119, -120, -121?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.91 - 0.09. Let z = 42 + -37.8. Let x = n + z. What is the second biggest value in x, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -388379820 divided by 5?\nAnswer: -77675964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -t + 4*b, 5*t = 5*b + 47 + 393. Let a = t - 62. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v - v + 2*v)*(-1054*v + 24 - 18 - 7) in the form c*v + j*v**2 + t and give j.\nAnswer: -1054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -185\/3*d**4 - 910\/3*d + 120 + 5\/3*d**5 + 55*d**3 + 565\/3*d**2 = 0.\nAnswer: -2, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3024 and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 7*o**2 - o - 3. Let r be l(-7). Suppose -f + 66 = -r*f. Let u = -8 - f. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2375*g**2\/4 - 5*g\/4.\nAnswer: -5*g*(475*g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 4 + 6)*(233901*i - 471502*i + 234735*i)*(-2*i + i + 3*i) in the form m*i**2 + f*i + v and give m.\nAnswer: 11464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/12 - 1\/3. Let h be (-7)\/y + (-6)\/(-18). Is 9 a factor of h\/14 + (-506)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -98 - 2. Let q = 20 - k. Suppose -3*u + 2*b = -4, 4*u + 3*b + 2 = -4. Solve -3*j + q*j + 15 = u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4977, 9951, 14925, 19899, 24873, 29847?\n\"Answer: 4974*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3423 - 2283. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (78\/(-2))\/((-717)\/(-239))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -8478184754388 and 0.3.\nAnswer: -8478184754387.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 1\/2848?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*t = -t + 3028, 3*v - 4*t = 2272. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1. Let l = -14938 - -14939. Let m(y) = -2*y - 20. Calculate l*m(k) + h(k).\nAnswer: -2*k - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -598 + -5290317?\nAnswer: -5290915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -187 - -189. Solve 3 = 3*s, r - 4 = k*r - 4*s for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 2\/43, -1.1, -49, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -809 - -2f?\nAnswer: -7da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000055664 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y**4\/3 - 9082*y**3\/3 + 542528*y**2\/3 - 532614*y + 51456 = 0 for y.\nAnswer: 1\/10, 3, 67, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 8414479.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 12*n**2 + 14*n + 12. Let r be z(-13). Let t(y) = 2*y + 1. Let d be t(4). Let g = d + r. Solve g = 3*x - 7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*u - 2388, 1260 + 1137 = 3*n + u. Is 25 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 3*d - 5*d - 3 + 4*d + d**2. Suppose -18 = 4*p - 2. Determine k(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26495?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -170\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c. Let k(g) = -67*g**2 - 4. Give k(j(a)).\nAnswer: -1072*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. Let t be ((-4)\/12)\/(k\/(-18)). What is the second derivative of -r + t*r**4 + 3*r - 2*r**4 wrt r?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 632, 649, 678, 719, 772, 837, 914?\nAnswer: 1003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 10*f**2 - 9*f + 19. Let u be x(5). Calculate the greatest common factor of 32 and u.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -90, -158, -278, -462, -722, -1070?\nAnswer: -1518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -313 - 375. Let w(n) = 51*n + 348 + 16*n - x. Does 44 divide w(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -7. Let q = 75 - a. Let y = q - 18. List the prime factors of y.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 + 8*u + 24 + 2*u**3 - 8*u + 38.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -5*b + 8. Let o(x) = -18*x + 10. Is o(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aisaklc. Give prob of picking 1 k and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**4\/2 - 31*z**3\/6 + 30*z. Find the second derivative of a(h) wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by (-6)\/(-4)*440\/60.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a + 29*a + 10 = 0. Let o(u) = 21*u - 15*u - 10*u + 13. Give o(a).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 813505 is divided by 292.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36872557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1736783, 1736832, 1736881, 1736930?\n\"Answer: 49*j + 1736734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnjdlnre. Give prob of sequence nrej.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -3923 and -3922 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 11)*60\/(-2). Suppose 4*v - x + 5*x = 132, -5*v + 4*x = -h. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 2*b**2 + 4*b - 5. What is h(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**6\/3 - 4*v**5\/5 - 3*v**4\/2 + 8*v**3\/3 + 4*v**2 - 4. Factor y(n).\nAnswer: 2*n*(n - 2)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 50*a**2 - 2*a - 98. Let h be m(-50). Factor -6\/5 - 2\/5*b**h + 8\/5*b.\nAnswer: -2*(b - 3)*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -8*y**2 + 7*y + 8. Let w be t(-1). Let r(o) = 3*o**3 - 21*o**2 + o - 11. Let h(j) = -2*j**3 + 14*j**2 + 7. Let d(u) = w*h(u) - 5*r(u). What is d(5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 49986913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3528636913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -o**3\/3 + 3679. Let q(d) = -561*d**2 + 1. Determine q(k(j)).\nAnswer: -561*j**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.1 + 1.1. Let n = 0.062 - 5.962. Let p = n - j. Which is the second smallest value? (a) -0.1 (b) 0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/(-1640))\/((-4)\/8). Which is the second smallest value? (a) -3 (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4163 - -11347?\nAnswer: 15521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, 5600, 5.\nAnswer: -6, 1, 5, 5600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -q - 16, -3*q - 4*n = -n - 12. Is q at most 3\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxxl when four letters picked without replacement from xnnxl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 80079529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4*g, l - g + 2 = g. What is the second derivative of 0*h**2 - 2*h - 2*h**2 + h**2 - h**l wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(2*(-25)\/60)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 4510.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -48. Sort 0.3, c, -3\/8.\nAnswer: c, -3\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - x**2 + 4*x - 4. Let z be k(-3). Suppose -f - 2 = -z*f. Let o(h) = -f*h - 2*h + 2*h + 3 + h. Give o(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 10*z**4 + 80*z - 543*z**5 - 65*z**2 + 160 + 548*z**5 - 40*z**3 - 15*z**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (4*(-4 + 3) - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuh when four letters picked without replacement from juuuuwuxjhjuu?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((-44)\/6) + 104\/(-143). Let c(t) = 6*t**3 + 5*t**2 + 3*t + 1. Let w = 21 - 11. Let u = w - 15. Let n(j) = -j**3 - j**2 - j. What is d*c(s) + u*n(s)?\nAnswer: -s**3 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 896328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.2094541 centimeters?\nAnswer: 2094.541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2346 and -1.1.\nAnswer: 2344.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(272) - -5*(sqrt(272) - (sqrt(272) + sqrt(272) + 5))) + -5))**2 + 1*(sqrt(272) + (sqrt(272)*-6*-4 + sqrt(272))**2) + -2.\nAnswer: 34564*sqrt(17) + 359070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q*r**3 - 153358*q + 73486*r**3 with respect to r.\nAnswer: -3*q*r**2 + 220458*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 16) to base 3\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-1*sqrt(2) + sqrt(150)\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 5*q**2 + q - 5. Let g be a(4). Let v = -3 - g. What is the least common multiple of v and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 33*t**2 + 36*t - 64. Let h be r(34). Solve -5*c = 3*k + 26, -k - h*k - 30 = 5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 178, -6, 2, -109, -2, 3 in increasing order.\nAnswer: -109, -6, -2, 0, 2, 3, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1906*i - 1117*i - 1154*i = 21846 + 2974 for i.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111 + -2001122101022?\nAnswer: -2001122022211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1942 - -2023. What is the highest common factor of 2484 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2355527 is divided by 4362.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, r: 1, y: 2, o: 4, w: 1}. Give prob of picking 1 w and 3 o.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**2 - 3*j**2 - 3*j**2 + (j - j + j)*(2 - 2 + 2*j) + 2 - 2 - 4*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 26*o**2 + o + 47. Let n(h) = -2*h**3 + 4*h**2 - 3*h + 1. Let t be n(3). Let b be c(t). What is the greatest common factor of 21 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, -2502\/47, 0.02?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**5\/60 + 5*q**4\/24 + q**3 - 6*q**2. Let g be l(6). Suppose y - 3*y + 96 = g. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-2) - (-15)\/(-45)*1323. Let n = g - -1783\/4. Which is the closest to 0? (a) -5 (b) n (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4537, -15154, -31851, -54628, -83485, -118422, -159439?\nAnswer: -206536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4767 and 40679535?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = -81*y - 53 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (-29 + 2 - -21)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1392 = 2*u, -5*u + 0*l = 2*l - 3474. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**17*z)\/z)\/z**(9\/2)*(z**(-4))**(-3))**(-4\/39) assuming z is positive.\nAnswer: z**(-98\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 64.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 4*x, -2*x + x - 12 = 5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/13)\/y*y\/(y*y**(-2\/17)*y)*y*y**(-1)*y\/y**1 assuming y is positive.\nAnswer: y**(-433\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n + 100*g - 204*g = -102*g - 15, 0 = -5*n + 5*g - 15 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25016?\nAnswer: 2, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhh when three letters picked without replacement from {r: 1, h: 2, z: 1, u: 3, i: 5}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-2))\/((-1)\/6). Let q(r) = 2*r**3 - 25*r**2 + r + 25. Let s(g) = g**3 - 13*g**2 + g + 13. Let n(j) = -4*q(j) + 7*s(j). Calculate n(y).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k - 4*k + 1 + 10*k)*(4*k - 4*k - k) to the form h*k**2 + n*k + r and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/3)\/(12\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 v, and 1 i when three letters picked without replacement from {x: 5, i: 3, n: 2, v: 3}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-4)*u))**47*(u*u**10\/u)**43 assuming u is positive.\nAnswer: u**618","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 + 21290*f - 42590. Give q(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -16. Let b(z) = -z**3 - 7*z**2 - 7*z - 3. Let k be b(-6). Let m be k\/(-2)*30\/(-9). Solve -y*i - 8 = -0*i + 2*l, 5 = m*i - 5*l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2626 by -538.\nAnswer: -1313\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 2*c**3\/3 + 7*c**2\/2 + c. Let a = -9 + 20. What is the remainder when v(6) is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 4*t. Let y = -57 - -63. Let o be f(y). Let p = o + 22. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000242138 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 14*d + 21. Let v be l(15). Suppose 2*h + h = -v, -3*h - 12 = 2*i. What are the prime factors of (-10 - 0)*i\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 8 - 3. Suppose -n - y - y = -2, 5*y + 16 = n. Let v = -1799 + 1795. Put q, n, v in increasing order.\nAnswer: v, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 6*z - 9*z = -60 - 12, 2*z = r + 54 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -1795*z - 12. Let y(t) = -1789*t - 11. What is 10*i(a) - 11*y(a)?\nAnswer: 1729*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220015 (base 6) to base 5.\nAnswer: 4033221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -46370 * -5222\nAnswer: 242144140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36*q*s**2 + 6*q*s + 3*q - 2 wrt s?\nAnswer: -72*q*s + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7\/2 - -5. Let g = -377\/70 + 51\/10. Which is the smallest value? (a) -1\/2 (b) g (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*h = 249 - 19, 2*h = 3*k - 361. Suppose -a + 27 = -w, -7*a = -2*a + w - k. Differentiate -12 + 8*j + a + 10 with respect to j.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 543*d**2 + 4837*d - 437. Calculate x(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*z - 665 - 1051. What is the highest common factor of z and 832?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*r + 243 - 63. Solve -2 = -3*y - 2*f, -y - 2*f - 4 = -r for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3664642495 to the nearest integer?\nAnswer: 60536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 7*l - 6. Let m be 88\/14 + (-4)\/14. Let y be z(m). Suppose 5*g - 16 - 14 = y. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 + 5*j - 1. Calculate x(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002527 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from isifsiz. What is prob of picking 2 z and 2 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*m = -175, -3*d - 38 = -3*d + 2*d - 4*m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*n - 168*n - 39*n - 10962 = 0 for n.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**8\/168 + b**7\/105 - b**6\/60 - b**5\/30 - 2*b**2. Find a, given that g(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*a + 10 - 43 = 9*s - 52*a, 0 = -2*a - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63338913 is divided by 6034?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 17, a: 2}. Give prob of picking 4 p.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.792581046 rounded to 4 dps?\nAnswer: 5.7926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**2 - 3*t + 3. Let j be x(1). Put 3, -2, j, 4 in ascending order.\nAnswer: j, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -624578 divided by 1.\nAnswer: -624578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, -124, 2\/7, -313, 0.2, 0 in decreasing order.\nAnswer: 1.2, 2\/7, 0.2, 0, -124, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**3 - 3*f**2 + 3*f - 1. Let z(b) be the third derivative of 7*b**6\/120 + b**5\/12 - 5*b**4\/24 + b**3\/3 + 15*b**2. Determine -5*i(j) - 3*z(j).\nAnswer: -j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjjg when four letters picked without replacement from gjgj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 12 = 5*n. Let z be 33\/9 + 4\/n. Let k be 1 + (-4)\/(z - -1). Solve 0 = -c - k*c + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -44, -1917 = -57*u + 3*x - 6*x - 1722 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from suuuuusuu. Give prob of sequence uuu.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 75992 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-56)\/(-6))\/(-4))\/((-1)\/309) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9207 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-4))**(-26)*(a**(2\/5))**(2\/43) assuming a is positive.\nAnswer: a**(-27946\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -107.717 * -6.\nAnswer: 646.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) -5 (c) -4 (d) 2320\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9\/128, 139, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*i**5 + i**2 - 63*i?\nAnswer: -360*i**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + p - 2*p + (-2 + 1 + 3)*(-2*p + 4*p - p) - 2 + 2 - p + 16*p + 5 - 2 - 1.\nAnswer: 18*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m - 4. Let f be i(-4). Suppose -10*u = -8*u + 2*u. Solve 2*l = l - f*r - 19, u = -2*l - 3*r - 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -2 - -19) + -7 + 2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36\/(-27)*((-50)\/5 - -4). Solve -m + t = -3, f = -t - 3*t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2. Let h(s) = -118*s - 30*s - 5 - 230*s + 3. Calculate h(w(t)).\nAnswer: 378*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 66 - -424?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/3 + 80*k\/3 + 1600\/3.\nAnswer: (k + 40)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52070*j**3*s**2 + 2*j**3*s*t**2 + 4*j*s**2*t + 3*s**2*t**2 - 13*s**2*t + 2*s**2 - s*t**2 wrt j.\nAnswer: 312420*j*s**2 + 12*j*s*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 - 17*c**2 + 8*c - 5. Let u be 70\/(-8) + (-5)\/20. Let j be w(u). Solve -2*z + 2*p = j, 4*z + 5*p = 3*p - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 40\/(-15))*-9. Let s be 47\/d - -8 - (-1)\/2. Which is the closest to 2\/25? (a) 5 (b) s (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16114 is divided by 143?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.14, 0, -1, 57?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -173bc (base 16) to base 12\nAnswer: -470a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -22038*v + 242446. Determine x(11).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - 0*(-4)\/(-4). Suppose -10*t + x*t + 16 = 0. Let m = -7.5 + 8. What is the second biggest value in m, 1\/7, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 117163 and -683.\nAnswer: -80022329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from uujjuujjju.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8641420 to the nearest integer?\nAnswer: 2940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-228)\/20 + 3)\/(10 - 4224\/440).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 at most 52604090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.05827422836511 + 3\nAnswer: 2.94172577163489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2102 is divided by 953?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f. Let l be y(2). Let m be (20\/(-3))\/(l\/(-6)). Let u be 18\/m + (-10)\/25. Which is the closest to u? (a) -3\/4 (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 - -6 - (-5 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 21. What is the remainder when (86\/129)\/(4\/384) is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -16. Suppose -5*s = -v - 23, v + v + j = s. Calculate the least common multiple of s and 2\/(3 - 2)*5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23796003 a multiple of 651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t**4 + 11*t**2 + 14. Let i(x) = x**4 - 16 - 6*x**2 + 9 + 3*x**4 - 2*x**4. Let r(h) = 6*f(h) + 11*i(h). Differentiate r(y) with respect to y.\nAnswer: -32*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*v + 490*v + 1481 - 9255 = 0 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29\/5 of a millimeter?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/5*(-100)\/(20\/(-1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 + 1021102220111?\nAnswer: 1021102212212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 409.94 - 16018.14. Round r to the nearest one hundred.\nAnswer: -15600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -216576 - -346576. Round t to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 2*c**2 + 3*c)*(-4 + 1 + 1)*(-27*c**3 - 13*c**3 + 8*c**3).\nAnswer: 128*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**2 - 100*q - 12*q - 11*q**2 + 4*q**2 to s + b*q + h*q**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**3 + 4*j**2 - 6*j - 3. Suppose 6*x + 14 = a, -5*x - 12 = -50*a + 49*a. Let r(q) = -4*q**3 - 5*q**2 + 6*q + 4. Calculate a*r(v) + 3*l(v).\nAnswer: v**3 + 2*v**2 - 6*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 175543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 15*p**2 + 16*p. Let b be n(16). What is the second biggest value in b, -0.4, 1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1100 = -5*m - 0*m. Suppose 5*r + 285 + m = 0. What is the common denominator of (-8)\/(-28) + r\/84 and 99\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53 and 8639?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -431020 (base 5) in base 11?\nAnswer: -a9a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 118 or 4207\/36?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 5*b + 2*v - 22, 5*v = 15. What is the tens digit of b + 184\/40 + 527\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4454, 4340, 4170, 3944, 3662?\n\"Answer: -28*m**2 - 30*m + 4512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 1383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(-30) + (-4)\/(-24))\/3. Solve -3*h + 2 = -h, o = -3*n - h - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 810*m**4 + m**3 - 277*m**2 + m + 170722.\nAnswer: 3240*m**3 + 3*m**2 - 554*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (3 - (-3 + 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/9840 and -17\/118080.\nAnswer: 118080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 4:13 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*h - 0*h - 27, 11 = -3*b - 5*h. Let g = 179 + -50. Suppose 4*y + 149 = g. Sort 4, b, y in decreasing order.\nAnswer: 4, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3312139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 - (15 - 14 - (1 + (-1 - 12)))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 24 - 7 - (2 - 11)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkjj when four letters picked without replacement from {j: 5, m: 6, k: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -144 * -0.3\nAnswer: 43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 11*v - 64. Give r(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(78)\/sqrt(2))\/sqrt(3))**2.\nAnswer: -8*sqrt(13) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + t**2 + 0)*(-4*t + 3*t - 17*t) - 4 + 4 + 4*t**3 in the form l*t**2 + m*t + q*t**3 + x and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 29 - 7 = 0. Let c = h - 6. Let p(g) = g + 8. Is p(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/9)*(h**(-8)\/h)\/h)**(1\/4)*(h**(-8)\/(h\/(h\/(h\/(h**(1\/3)\/h)))*h))**(-2\/19) assuming h is positive.\nAnswer: h**(-923\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/12*(-20 + (10 - 20)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23 - 3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243 (base 10) to base 16.\nAnswer: f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {f: 2, r: 4, w: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 141016 and 1603817096.\nAnswer: 1603958112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from uxyxyuuuyyuuxxyxyuu.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*m**4 + 115*m**3*w**2 + 711*m*w**2 + 8*m wrt m?\nAnswer: 156*m**2 + 690*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 557326688*h**2 + 207126905*h wrt h?\nAnswer: 1114653376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4076533.256 to the nearest one hundred.\nAnswer: 4076500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.787 + -0.787. Let q = 44\/105 - 2\/15. Let k = -2 - -2.4. Put n, q, k in increasing order.\nAnswer: q, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 627382991 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 309381485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58701*m**3 + 58603*m wrt m.\nAnswer: 352206*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39770994?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c. Let g(w) = -3*w. Let b(o) = -g(o) + 2*v(o). Let a(q) be the first derivative of 9*q**3 + 170. Give b(a(s)).\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, c: 3, q: 7}. What is prob of picking 1 c and 2 k?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqhqglghhaplghq. What is prob of sequence pg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/20 and 47\/1885.\nAnswer: 7540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**2 - 62*b + 10*b**2 + 21*b**2 - 1 + 37*b - 51*b**2 + 29*b.\nAnswer: -25*b**2 + 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 3:10 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 1)\/(2\/48). What is the greatest common divisor of a and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*u**3 - 34*u**3 + 0*u**3 - 34*u**3 - 53*u**3 + 17*u**3.\nAnswer: -157*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -19. What is the greatest common factor of 2 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*x = 141*x + 708. Is x not equal to -118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2240841 - -7593806. Let q be 1323\/14*(165446 + 0). Let u = m - q. Round u to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96 - 96 - 14152*i + 4620*i + 4529*i + 4669*i.\nAnswer: -334*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 + 583644*b**2 - 21289728096*b - 21290311744.\nAnswer: -4*(b - 72956)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*q + 18, 4*s = -3*q - 2 - 2. Suppose 0 = -s*d + 13 + 3. Suppose 0 = 2*u - d*u + 30. Solve -3*y + 2*c + 1 + 0 = 0, 2*y + u*c - 7 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99 - (47 - (-33 + 30 - -23))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 5*v - 25 = 6*y, -v = -2*y - 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43.55 - -43. Let a = 0.437133 - -0.112806. Let d = a + z. What is d rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/103075 and 64\/44175?\nAnswer: 309225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 293 in -1\/5, -1\/2, -0.07, -4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -12*t - 2*s + 40, -7*s - 7*s - 20 = -2*t - 12*s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3088652?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 3:47 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 246\/861*7\/5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 5:43 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**5\/5 - 24*g - 29. Let c(j) be the first derivative of p(j). Factor c(w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 + 709 = 3*c. What are the prime factors of ((-4424)\/c)\/(1\/(-14))?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -25 + 12 + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622159.\nAnswer: 622159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 417, 404, 391, 378, 365?\n\"Answer: -13*k + 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 393*s*z**3 + 3*s*z**2 + 2*z**3 + 37*z wrt z?\nAnswer: 2358*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 714 divide 170697383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.634044 nanometers in meters?\nAnswer: 0.000000006634044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 3*l + 158085, 118566 = -29*g + 26*g - 3*l. Let f = -25220 - g. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 41*f**2 - 38*f + 84. Give k(-40).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 196.99 * -2\nAnswer: -393.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 6*t + 7. Let l be u(6). Let v(y) be the second derivative of y**4\/2 - 5*y**3\/3 + 6*y**2 - 36*y + 19. List the prime factors of v(l).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*m**2 + 2*m**2 + 3*m**2)*(-4 + 2 + 0) + 4*m**2 - 2*m**2 + 0*m**2)*(-m + 4*m - m) to w*m**3 + h*m + g + p*m**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-141.9\nAnswer: -141.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104 - 102. Let i be (-344)\/43*(g - (-31)\/(-14)). Factor 4\/7*m**2 - i + 8\/7*m.\nAnswer: 4*(m - 1)*(m + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 2. Let c be l(0). What is the third derivative of -o**2 - 2*o**c - 36*o**6 + 34*o**6 wrt o?\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (126\/168)\/(2\/(16\/(-2))) - 0. Put m, 0, -643, -1 in decreasing order.\nAnswer: 0, -1, m, -643","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -715 - -727. Calculate the highest common divisor of 156 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 4*m + 44 - 20, 5*m - 12 = 2*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k - 58. Let g be v(-28). Let j be 52038\/(-2) - (-1 + (g - -2)). Let h = j + 119018. What is h rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**5\/30 - 2*z**2 - 152. Let s(k) = 14*k. Determine j(s(f)).\nAnswer: -392*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 6541810 to the nearest ten thousand.\nAnswer: 6540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/24*64\/40. What is the closest to -0.1 in 4, c, -3\/8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85550 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 84*h**3 - 20 + 41.\nAnswer: 84*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -4244?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 1. Let h(k) be the third derivative of k**5\/30 - k**4\/12 - k**3\/2 - 5*k**2. Let t(a) = -a - 1. Let l(v) = o*t(v) - h(v). What is l(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 5 (c) -10 (d) -47 (e) 0 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 10200 and 10198 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 14261, -1, 4 in descending order.\nAnswer: 14261, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7105012.\nAnswer: 2, 19, 93487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4 + 4*q**3 - 8*q**2 - 4*q + 6 = 0. What is q?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (4720\/1416)\/((-5)\/(-36))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1159\/4, -8, 158, 0.9?\nAnswer: 1159\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) - -1*(2*sqrt(216) - sqrt(216)) - (-2*1*sqrt(216) + sqrt(216)))\/((2*sqrt(12))\/sqrt(4) + sqrt(3) + sqrt(24)\/(sqrt(8)*4) + sqrt(3)))**2.\nAnswer: 10368\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.013 at least as big as -2\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 613*y**2 - 625*y + 6. Give j(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c + 27270*c**2 - 4*c - 27277*c**2 + 5*c - 4 + c**3 + 4*c. Calculate n(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/16616759 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h**2 + 5. Let c(s) = -3*s**2 + 4. Let k(q) = -4*b(q) + 5*c(q). Let y be (-2 - 0)*(5 - 10). Let g(i) = y*i + 4*i - 2*i + 10*i. Determine g(k(f)).\nAnswer: 22*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 24875*v + 18217*v - 21477*v - 20264*v.\nAnswer: -48399*v + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**5\/10 + w**4\/6 + w**3\/3 - w**2 + 8*w. Factor t(n).\nAnswer: -2*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/2 of a decade?\nAnswer: 2700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z - 5*l - 3103 = -26*z, l - 1 = 0. Is z >= 785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164301697?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**2 - 34*c. Let f(g) = g**2 + g. Determine -4*f(u) - x(u).\nAnswer: u**2 + 30*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 5*a**4\/24 - 2*a**3\/3 + a**2 - 593. Give x(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 30353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -1\/3, 34.75606, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1471.53 years?\nAnswer: 1.47153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 3:45 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 25. Let k be (-105)\/l*(-3)\/9. Let c = k - -17. What is the second smallest value in 1, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 12 + -1305 + 1342 + -47 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 3*g - 0*g + 60, -2*g + 19*b = 3*b - 255 + 121 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83481 is divided by 20706.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544492 is divided by 18710?\nAnswer: 1902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103401, 103375, 103325, 103239, 103105, 102911, 102645, 102295?\nAnswer: 101849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -22*n - 5. Let s be f(-1). Suppose s + 75 = 23*v. Solve -v*x = 73 - 81 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 - -46. Let d(s) = 2*s + s - v*s. Let x(g) = -29*g**2. Give x(d(h)).\nAnswer: -29*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 2 + 1 = -j, -3*d + 3*j + 15 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*f + 4, 5*f + 263 = -m. Calculate the common denominator of 143\/6 and (m\/(-8))\/7 + -2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 8:29 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/3)\/k)**(-8\/7))**(2\/119)\/(k*k*k**(-2\/17)*k*(k**(-2)\/k)\/k*((k*k\/((k\/(k**0\/k)*k)\/k)*k*k)\/k*k)**(-2\/5)) assuming k is positive.\nAnswer: k**(24281\/12495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmgrrrirmgrrmrmram. Give prob of picking 4 r.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 202 + -211. Let u = i - -21. Calculate the lowest common multiple of 51 and u.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29739 and 87.\nAnswer: 862431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351 + 1432 = 5*t - 4*f, 1767 = 5*t + 4*f. Let v = 353 - t. Put 5, 4, v, -3 in descending order.\nAnswer: 5, 4, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhsdmym. What is prob of picking 1 s, 1 y, and 1 m?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 20. Suppose 0 = -0*o - 5*o. Suppose 0 = -3*s + 3 - 6. Which is the nearest to j? (a) 0.4 (b) s (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 82 + 10*k**2 - 21*k**2 + 28*k + 10*k**2 + 15. Let p be i(31). Solve p*f + y - 7 = 0, -6 = 5*y - 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 10*w = 5*v - 400, v - 3*w = 60. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h*s**4 - 32*h*s + 4631*h + 678287*s**5 + 6 wrt s.\nAnswer: -36*h*s**2 + 13565740*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (-1 + sqrt(612)))*-1 + sqrt(612) + -2*sqrt(612) + -3 + sqrt(612) + 3 + (sqrt(612) + sqrt(612)*3 - sqrt(612)) + -4)**2.\nAnswer: -180*sqrt(17) + 5533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 e when four letters picked without replacement from ejjjojkeekoeeeeoeoe?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7167, -6763, -6337, -5877, -5371, -4807?\n\"Answer: 2*q**3 - q**2 + 393*q - 7561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -1731*z**5\/20 - 7*z**3\/6 + 87*z**2\/2 - 2*z - 37. What is the second derivative of i(y) wrt y?\nAnswer: -10386*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184644055.\nAnswer: 5, 17, 2172283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363865.\nAnswer: 5, 61, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1915*k**4*y + 172*k**4 - 3*k*y - 1249*k - 19*y wrt k?\nAnswer: -22980*k**2*y + 2064*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/15 and -10\/111.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 10 + 0 = 0, 5*t - 983 = -4*h. Let n = -128 + t. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 8*y**2 + 10*y + 11. Let b be u(-9). Let m(d) = d**2 + d - 2. Let o be m(b). Suppose -8 = -2*s + o*s. Sort -3, -1, s.\nAnswer: s, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a centimeter in micrometers?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -43451*d - 4649273. Calculate b(-107).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5*v - 41. What is n(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1757 divide 35377195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 833 divided by -119.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4103450*i**3 + 22890*i - 487.\nAnswer: -24620700*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 6*c**2 + 4*c - 6. Let i be p(-7). Let l be (3\/5 - -1) + (-9)\/i. Calculate the common denominator of (-2 + (-94)\/(-120))\/l and -79\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31.66 - 3.94. Let y = -58.6 - g. Is y < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*y - 2 + 118*y + 5 in the form i + k*y and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 23*z - 1. Calculate u(-11).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 14 = 2*h + 3*j, 2*j - 12 = 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 14*q - 10. Determine i(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 1. Let i be g(-1). Let b(v) = v**2 + 13*v + 12. Let t be b(-14). Suppose i = 3*c - 2*h - 14, 10 - t = 4*h. Solve -4*r + 2 = -c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k**4 + 5*k - 5*k + (k**3 + 4*k**3 - 4*k**3)*(k - 3 + 3) - 10*k**2 + 10*k**2 - 19*k**4 to the form f*k + m*k**4 + b*k**3 + r*k**2 + t and give m.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayay when four letters picked without replacement from {q: 1, y: 1, a: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*u + 90 = -720 - 54 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10608 - -10730. What is the remainder when 1341 is divided by d?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220722802 and 26238.\nAnswer: 8746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 5:29 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.95, -1\/4, 197 in ascending order.\nAnswer: -0.95, -1\/4, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271139 is divided by 2855?\nAnswer: 2769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (328\/2)\/(-41) + (-3 - 531\/(-75))\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100448 by 2.\nAnswer: 50224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**4\/12 - r**3\/6 + r**2 - 2*r. Let v be b(0). Let l = v + -1. Solve -l = 4*u + 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34981348 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-4 + (-38 - -16))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199334525?\nAnswer: 5, 13, 613337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2554 + j**2 + 2554.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 8:41 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 0*w + 12 = 0. Let g(v) = -16*v**3 - 3*v**2 + 3*v + 2. Let a be g(w). Let i = -103 + a. Solve -3*p + 0*p - i = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1272 (base 8) to base 3\nAnswer: -221212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -110.22 + 112. Let j = q - 0.78. What is the smallest value in 0.2, -12, j?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.36214 + 0.03786. Which is the closest to 5? (a) x (b) 0 (c) -6.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - m = 1545. Suppose 4*g = -2*w + 1316, -5*g = w - m - 1339. List the prime factors of g.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1188 - -1173. Are t and -123\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -9661.64 and -545317.\nAnswer: -554978.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-3 - (-3 - -10 - 4))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/81 in 9, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkqqqqqqqqqqqkqzzkqq. Give prob of sequence qz.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 16, e: 2}. What is prob of sequence ee?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/8 and -51\/152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 100*n**2 - 4. Let z(t) = t**3 + t**2 + 1. Let l(b) = k(b) + 4*z(b). Factor l(a).\nAnswer: 4*a**2*(a + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 102425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.712 - -1.288. Which is the closest to 1\/10? (a) 0.2 (b) 2\/9 (c) 5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 344261223?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1417*x - 508*x - 491*x + 79*x - 507*x.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -5 (b) -0.2 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -807 and 0.2?\nAnswer: -161.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -7*t - 4. Let i(z) = -z**2 - 11*z - 23. Let h be i(-7). Let k(l) = 3 + 1 - 3*l + 9*l - 1. Give h*u(w) + 6*k(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10279667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 2*t**2 + 16*t - 15. Calculate b(6).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -12 + 3 + 7 - 2 + 3*s. Suppose -26 = -0*z - 2*z. Let a(t) = z - 16 - t + 3*t. What is 4*a(r) - 3*l(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -70 + 4653\/55 + -13\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 + 7753901*m**2 - 15030741302499*m - 15030749056401.\nAnswer: -(m - 3876951)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 155935004 to the power of 1\/2, to the nearest integer?\nAnswer: 12487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-2\/13)*x))\/(x**37\/x))\/((x*x**(-2\/5)*x*x)\/(x**17*x)) assuming x is positive.\nAnswer: x**(-1329\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 9942 = 3*o, a + 109 - 3418 = -o. Is o a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8359676 by -2089919.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3818944619 to the nearest integer?\nAnswer: 1563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -2562 and -0.152 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21871529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3735437 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/5 + 38*q**2\/5 + 152*q\/5 - 192\/5.\nAnswer: 2*(q - 1)*(q + 8)*(q + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 102 = 320. Suppose 2*o - o - 2*y - c = 0, 0 = -o - 5*y + 183. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 3, 4\/5, 0.2, 0, 12\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*m + 340, -19*m + 16*m = -4*o + 452. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 5*b**3 - 469260*b**2 - 8447895*b - 38017350 = 0.\nAnswer: -9, 93870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*i - 51*i - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**3 + s**2 + 234*s + s**3 + 5*s**2 - 8*s**2.\nAnswer: -3*s**3 - 2*s**2 + 234*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -210*x**2 - 85. Let v(b) = 5*b**2 + 2. What is -6*n(j) - 255*v(j)?\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 6*v**2 - 18*v + 18*v - 4.\nAnswer: 6*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -4. Let f(j) be the third derivative of j**5\/20 - j**4\/24 - 5*j**3\/6 + 2*j**2. List the prime factors of f(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 310 + -336 - (-2 + 1 - 76)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 20*j - 41. Let n(o) = -7*o + 14. Let t(q) = -17*n(q) - 6*p(q). Let y(z) = z**2 - 7*z + 7. What is the remainder when y(6) is divided by t(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h - 157. Let x be m(27). Let j be -2*2\/(-6)*59. Let p = -39 + j. Which is the second smallest value? (a) x (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 7*o**2 - 21*o - 5. Let i(j) = -4*j**2 + 10*j + 2. Let a(w) = 5*i(w) + 2*l(w). Let k(f) = 1120866 + 12*f**2 - 1120866 - 10*f**2. Determine k(a(d)).\nAnswer: 72*d**4 - 192*d**3 + 128*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1694 = 47*m - 61*m. Suppose 123*t = m*t + 1334. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*c + 54, 0*l - 2*l = -4*c + 36. Suppose 0 = 4*h - 9*h - c, -2*v + 12 = 5*h. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 4, w: 15}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 270, 1002, 2186, 3822?\n\"Answer: 226*j**2 + 54*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 21. What is the second derivative of 36*b**2 + s*b**2 + 19*b + 13*b wrt b?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 5)*(i**5 + i**5 - 9*i**5).\nAnswer: 35*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -255 - -775. Is a a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-28)\/s**(-5\/3))**(-37) assuming s is positive.\nAnswer: s**(2923\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from ltttlltttttmttlttttl.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12, -10, -8, -6, -4?\n\"Answer: 2*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 8:52 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/117 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1100*v + 258*v + 16329 + 5563 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -2.49 (c) -4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3136 (base 12) to base 3\nAnswer: -21100220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 172*y - 505. What is the hundreds digit of v(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 divided by 5?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/2 and -43\/1870?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**8\/336 + 9*o**7\/350 + o**6\/60 - 15*o**2 - 87. Let f(k) be the second derivative of z(k). Factor f(q).\nAnswer: q**3*(q + 5)*(5*q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**4 + 7*c**2 + 2*c - 4 + c**4 + c**4 - 6*c**2 as j*c + b*c**3 + u*c**4 + s*c**2 + x and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 1\/321714065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 62*r = 58*r + 10, 3*p = -3*r + 12 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2794.884 rounded to the nearest ten?\nAnswer: -2790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**3 - 5*l**2 + 2. Let f be p(-5). Let q = f - -22. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 29*d**2 + 2*d - 2. What is the remainder when v(-2) is divided by (-93)\/124*(2 + 2 + -40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/7 - 2\/7*s**3 + 4*s**2 + 62\/7*s.\nAnswer: -2*(s - 16)*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3092299*146.\nAnswer: -451475654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1952*b**3 - 71*b**2 + 11?\nAnswer: 11712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 354816 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (342\/(-4))\/(53\/(1060\/45)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**5\/3 + 413*x**4\/3 + 8690*x**3\/3 + 34450*x**2\/3 + 5423*x - 19941 = 0 for x.\nAnswer: -391, -17, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/3 (b) 18.2 (c) 2 (d) -0.06 (e) -200\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 20020 (base 5) to base 2\nAnswer: 10011101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 135*j + 7851. Give g(-62).\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 122*p + 782 - 2734 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5200 divided by -520.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 778 - 1106. Let m = -148 - y. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 8*d. Let y be f(8). Let q be (0\/(-1) + y)*1. Let b(j) = -j**3 - j**2 - j - 2. Determine b(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zzzezzzzezzzzzez?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**4 + 17*z - 15*z + 20581 + 2*z**3 + 2*z**4 - 20646 to the form y*z + c*z**2 + x + d*z**3 + l*z**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-17)\/(544\/104))\/((-75)\/24 + 3). Solve 6 = -r*z + 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 217210092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*x - 7*x + 5*d, 0 = 4*x - 4*d + 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -546 = -58*b + 61*b. Let h be 2\/(-13) - (-7)\/(b\/(-1044)). Suppose -190 = -5*a - h. What is the highest common factor of 75 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -24. Let l be 1 - (-32 - (-2)\/1). Let x = l + s. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15665881*y**3 - 33671630*y wrt y?\nAnswer: -93995286*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 0, -0.5, 31, -184, 2\/7, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5737.98 + -30729.\nAnswer: -36466.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/10*(-100)\/15. Let g be (1 + (-4)\/z)*10. Let i(t) = 5 - 3 - 3*t + 8*t - t**2. Give i(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 - (-15 + (14 - 12) + 1 + (0 - -16))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12200022 + 10100?\nAnswer: 12210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/((-3)\/(-72)*4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 10*j - 98. Suppose 5*n + 1 = 71. Is j at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m**2 - 2*m - 96*m**3 - 62*m**3 + 159*m**3 - 1 to the form j*m**2 + x*m**3 + a + h*m and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/13)\/(d**(-2)\/d)*(d**(1\/6)*d)\/d**4 assuming d is positive.\nAnswer: d**(25\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -13, -1, 2\/3, -274\/7, 0.56?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*i + 3*f + 53, -5*i - 2*f + 104 = 0. What is the common denominator of (3\/i)\/(9\/(-57)) and 11\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-6)\/(-27) - 1472\/(-18) and 12.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -565, 31, 2, -0.04, 0.3, -4.\nAnswer: -565, -4, -0.04, 0.3, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7078, -7059, -7040?\n\"Answer: 19*m - 7097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 310\/(-341)*2\/(-5). Put 13, 1, z in increasing order.\nAnswer: z, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - 3*y + 4*y + (2 - 1 - 3)*(0 - y + 0) - 3*y - 3*y + 5*y)*(0 + 1 + 1).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 12. Suppose w = 2*k - 3*k. Suppose 0 = -k*p - 2*p + 16. Solve p = -3*r - 2*b, 8 = -4*r - 6*b + 4*b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**6\/120 + a**5\/15 - 5*a**4\/24 + a**3\/3 - a**2\/2 + 2*a. Let p(n) be the first derivative of j(n). Factor p(u).\nAnswer: -(u - 2)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**6 + 5*w**2 + 3. Find the second derivative of f(c) wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 988*h**2*p**3 + 156*h*p**3 - h*p**2 wrt h.\nAnswer: 1976*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1525*u + 1983*u + 1933*u + 2281*u = -61776 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21\/10 in -1\/4, -3, -4, -9, -30?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37687831*k**2 - 6203269*k?\nAnswer: 75375662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 194*k - 3325.\nAnswer: -(k - 175)*(k - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 + 5*l - 4. Suppose 0 = -6*a + 2*a + 8. Let q be f(a). Let u be -1 + (-3)\/6 - q. What is the smallest value in -0.5, 0, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -109 + 113. Is f at least 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 9*b + 8. Let x = 488 + -477. Determine u(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 7 + 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 1:57 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 21 = -4*i, -2*i + 5*j - 10 = -3*i. Let d(f) = f - 8. Let x be d(i). Is 9 a factor of x*(-1 + 14\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58 or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwswwwjwdwjegwg. What is prob of sequence gge?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 14) in base 16?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32059\/9 + -3557. Calculate the common denominator of s and 38\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6370 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13760, -34139, -54518, -74897, -95276, -115655?\n\"Answer: -20379*d + 6619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -443\/5? (a) -0.3 (b) 1 (c) 0.5 (d) 21 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1904240?\nAnswer: 2, 5, 13, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 7*o**2 + 9*o + 10. Let d be n(-8). Solve d = 4*g - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -72*g**2 + 21. Let x be (5\/(-6))\/(-5) - 3048\/144. Let a(m) = 18*m**2 - 5. Calculate x*a(d) - 5*k(d).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0156 and 9.01.\nAnswer: 8.9944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + sqrt(1573) + (sqrt(1573) - (sqrt(1573)*2 + -4)**2) - (-5*sqrt(1573)*2)**2) + -2 + -1.\nAnswer: -163611 + 209*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 11) to base 9\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**3 - 48*p**2 - 10*p + 54. Determine v(0).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 at least 556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -1, -61, 1, 0.308, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + (2 - -3) - 2. Suppose h = k - 3*k, 4*y - 60 = -2*k. Suppose 5*m = -5*b - 17 + 2, 5*b + 3*m = -y. Sort 1, b, -4.\nAnswer: -4, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 - 2.16. Let v = 2.20000024 + y. Round v to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3741 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -519309, -2077156, -4673555, -8308506, -12982009, -18694064?\n\"Answer: -519276*r**2 - 19*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 54 = -5*n. Suppose -2*c - 16 = n. Let r = 1 - c. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -816*-7*4\/(-210)*-5. Let h(l) = -p*l + 12 - 536*l + 1078*l. Let o(i) = -i. Give h(o(f)).\nAnswer: 2*f + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28021 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100 + 111. What is the highest common divisor of i and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235974, -235997, -236044, -236127, -236258, -236449, -236712, -237059?\nAnswer: -237502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*t = -14, 0 = 4*k - 4*t + t + 28. Let l be k\/5 - (-8)\/20. Let f be (-2)\/2 - 1*l. Solve -3*n - 4 - 5 = f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3)*s*s*s**(-1\/8)*s*s*s**(2\/5)*s**(-3)\/s*s)**(-3\/34) assuming s is positive.\nAnswer: s**(-233\/1360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69888, 69888, 69890, 69894, 69900?\nAnswer: 69908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1035270?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**5\/20 - r**4\/12 + 3*r**2 - r. Let v be ((-12)\/4 - 8)*-2. Let y = 22 - v. What is g(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcvvnvbvmnmbmnbvnn. What is prob of picking 1 c and 1 b?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 4:33 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/54*1*3*(-4926)\/188830\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132 + 3975*o - 4006*o - 263.\nAnswer: -31*o - 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2 + 5. Suppose -3*v - x = -v - 7, -10 = -5*v + 5*x. Let g(k) = 2*k**2 - 3. Let i(q) = v*f(q) + 5*g(q). Solve i(l) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 12:58 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5762630129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 402 = 5*u, -5*u - a - 2*a + 394 = 0. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by (55\/(-20))\/(22\/8 + -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -19*o + 18. Let g = -50 + 53. Let u(n) = -20*n + 17. Let k(p) = g*t(p) - 4*u(p). Differentiate k(s) wrt s.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-36)\/(-2))\/(5*2\/5). Let a(j) = 107*j - 8. Is a(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7952205341 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 16, 5*u - u = 4*h + 32. Let z(d) = d**2 - 16*d - 56. Calculate the remainder when z(21) is divided by (-1)\/4 + 171\/u + 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100.7 + 0.0329031.\nAnswer: 100.7329031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x. Let f be z(4). Let s be 5 - (-3)\/(-9)*0. Suppose -q = -s*g - 492 - 322, f*q = 3*g + 3341. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**2 - r + 1. Let k(l) = 76*l**2 + 3*l - 2. What is 3*f(p) + k(p)?\nAnswer: 67*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 71057, 142114, 213171?\n\"Answer: 71057*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 19. Solve 3*t = -u - 2, -u + 2*t - 22 = n*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 + -19. Suppose 4*y - 3*l = 8*y - c, -4*y = 4*l - 52. Solve 0 = -4*f - 4*k + 3 + 17, 2*f = 4*k - y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8396893 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 234 and 3906.\nAnswer: 50778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11599965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15342 by -3.\nAnswer: -5114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 62.3515 years?\nAnswer: 0.0623515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 14*p - 14. Let r be f(-12). Suppose -5 = a - r. Let t(l) = 3*l**2 - 6*l - 7. List the prime factors of t(a).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 4, 2\/15, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**6\/60 - k**5\/2 + 47*k**4\/12 + 21*k**3 + 7*k**2 - 9. What is t in z(t) = 0?\nAnswer: -1, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18\/49, -3, 0.3, -20 in decreasing order.\nAnswer: 18\/49, 0.3, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 11. Let g(n) = d*n**2 - n**2 - 3*n + 2*n**3 + 6 - 4*n**2. Is g(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 + -3)*(-2)\/(-6). Let y = -31 - -29. Put -12, y, -0.2, d in decreasing order.\nAnswer: d, -0.2, y, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27885 divided by -5\nAnswer: 5577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24398.057 + 24398. Which is the nearest to -0.3? (a) 2\/3 (b) -2\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**2 - 19*l + 232 wrt l.\nAnswer: 4*l - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 900*m + 85. Let v be r(14). Suppose 905 = -5*p - t + 13590, 0 = 5*p - 5*t - v. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 95804155.\nAnswer: 766433240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, x: 1, z: 1, g: 2, t: 1, i: 1}. Give prob of sequence xgz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f - 4. Let q(z) = 21*z - 17. Let c(a) = -26*b(a) + 6*q(a). What is the tens digit of c(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 * -30.86\nAnswer: 4.9376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2319, -9311, -20969, -37293, -58283?\n\"Answer: -2333*p**2 + 7*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 13*j - 2. Let w be q(-3). Let o = w + 61. Suppose -314*b + 313*b - 2*f + 19 = 0, -3*b - 5*f = -65. What is the least common multiple of o and b?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/72)\/((-4)\/(-18)) - (-51 - -14 - -4)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 57 = k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**3 - 4*t**3 + 7*t**3 - 6*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 7*c - 3*c + 108, -3*c - 15 = 0. Does 22 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38794500 or -1\/4?\nAnswer: 38794500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 - 25\/15 - (1336\/1560 - 2) and 21\/67?\nAnswer: 4355","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.039 + -0.039. Suppose s + 6 = -2*s. Let v = -2\/781 + 1588\/10153. Put s, t, v, 4 in increasing order.\nAnswer: s, v, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2166864 and 14858496.\nAnswer: 104009472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2) + (-30)\/(-4). Let c(m) = -169*m**3 + 3*m - 2. Let r be c(-2). Let f = -1339 + r. Solve f*y - l = 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 12. Let u be n(12). Suppose 2*y - 5*y = u. Let p = y + 4. What is the remainder when 9 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1339277.385 rounded to the nearest ten thousand?\nAnswer: 1340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x + 94 = -66 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 55 = -3*x - 2*j, -5*x = 2*j - 40. Suppose k + k = x. Suppose -k*b + 100 = -b. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -396145878622 + -1?\nAnswer: -396145878623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*u + 3*u - 30, 0 = 4*l + 16. Let t(r) = 8*r**2 + 381*r + 2539. Let p be t(-8). Solve -u*c - p = 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2 - 13 + 14*m**2 - 9*m - 15*m**2. Let c be t(-6). Find s, given that -c*s - 5*s**2 - s**3 + 4*s**3 + s**4 - s**5 + 5*s = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3. Let k be (0\/2 - -1)*m. Let -12*z**k + 8*z**3 + 12 + 22*z + 4*z**2 - 2*z = 0. What is z?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/18747 (b) 5 (c) -0.09 (d) -4 (e) 0.3 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-9 - (-12 - (-20 + 3)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, g: 1, z: 1, v: 3, m: 8, a: 2}. Give prob of sequence zmbg.\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - 33. Suppose 4 - a = g. Calculate the lowest common multiple of ((-18)\/(-15))\/(g\/(-10)) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by -17?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -10, -55\/12, -0.08, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**5 + 417*c**4 + 14280*c**3 - 14700*c**2.\nAnswer: 3*c**2*(c - 1)*(c + 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o**(-1)*o*o)))\/o**(-4)*(o**(2\/5)\/o)**(-3\/10) assuming o is positive.\nAnswer: o**(309\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 + 3*m**2 - 23*m**2 + 2*m**3 - 15*m**2.\nAnswer: 2*m**3 - 29*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxi when three letters picked without replacement from {x: 2, w: 1, g: 1, i: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2207 - 119177\/54. Let j(t) be the second derivative of m*t**4 + 0 + 1\/90*t**5 + 11*t + 0*t**2 - 2\/27*t**3. Factor j(u).\nAnswer: 2*u*(u - 1)*(u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 11:50 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 26446*q**3\/9 - 12578*q**2\/3 + 656*q + 5384\/9 = 0.\nAnswer: -2\/7, 1346\/1889, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-2))\/(3\/4). Let l = 6.4 - 6. Let r = -124.8 - -125. Which is the closest to x? (a) 2 (b) l (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-153)\/3*((-2)\/17)\/((-114)\/(-323))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 7:23 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5250 divided by 5250.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 6:45 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 < 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17\/29 + -111\/58. Let d = -0.2 + 0.6. Sort 7, v, d, -4 in descending order.\nAnswer: 7, d, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 162.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, z: 2, e: 3, o: 2, c: 5}. Give prob of sequence eoo.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-17))**(3\/29)\/(p**(-6\/5)\/(p\/(p*(p\/p**23)\/p))) assuming p is positive.\nAnswer: p**(3254\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 6942976*j - 6942972.\nAnswer: -4*(j + 1)*(j + 1735743)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 1564.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykkaauyykuky. Give prob of picking 2 u, 1 k, and 1 y.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-2 + 2)\/3. Suppose 5*d - 3*d - 12 = u. Solve 0 = 2*t - 5*t + d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -987*t**2 - 945?\nAnswer: -1974*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a meter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -95835152.218 + -0.06\nAnswer: -95835152.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/18)\/((407\/(-66))\/(-37)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 32*a + 52 = 0. Suppose -3*v = a*t - 4363, -t - 4*v = -3*t + 4370. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21303 (base 4) to base 7.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -13*s - 76. Let v be w(-6). Suppose -4*d = -5*a + 12, -2*a + v + 6 = 0. Suppose d*z + 20 - 152 = 0. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19204, -37476, -55748?\nAnswer: -74020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71 and 285917?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*g + 20 = 99*g. Let u(y) = -y**3 + 5*y**2 + y + 9. Is u(g) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-27)*(1035\/75)\/(-23)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/(1540\/(-24))*1\/(-6).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2429?\nAnswer: 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 326*k**3*n - 159*n wrt k.\nAnswer: 978*k**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 4*c - 3. Let f be j(-5). Let d = 37 - f. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11452846?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -871.58.\nAnswer: 2614.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {j: 1, d: 4, q: 2, b: 1, t: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 41341\nAnswer: 13\/41341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 p, and 2 i when four letters picked without replacement from {x: 1, p: 3, i: 5, t: 1, s: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 times 1.28355\nAnswer: -0.154026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -37 = -653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 4*j - 3*d + 16, -5*d = 0. Suppose j*h - 2*h = 12. Is 5 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 9348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2058 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of x**4\/12 - 16*x**3\/9 + 25*x**2\/6 + 14*x + 737. Factor s(u).\nAnswer: (u - 14)*(u - 3)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - v - 60. Suppose -v*z = -6*z + 24. Sort 5, -0.06, z, 0.5 in descending order.\nAnswer: 5, 0.5, -0.06, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1291523 - -1291523.2249109. Let j = m + 10.7750884. Let b = -11 + j. Round b to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*w + 18 = 415*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -35334.088 rounded to the nearest one thousand?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 6 - (-1 - (-6 + 7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 4 - 7)*(21*s**2 - 13*s**2 - 94*s**2) + s**2 - 4*s**2 + s**2 in the form w*s + m + f*s**2 and give f.\nAnswer: 686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -7095552.\nAnswer: 1\/7095552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2241994102 to the nearest integer?\nAnswer: 1309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36 - -8?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 169 - 33 = 0. Let i(k) = k**3 + 4*k**2 + k + 7. Let n be i(-5). Let o = n + s. What is the remainder when o is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112214 (base 6) in base 3?\nAnswer: 111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -d - 12 - 6, 2*d = -6. Suppose 4*t = -2*f + 48, -t + 2*f = -l - 7. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + m + 48 = -26, -h - 3*m - 18184 = -2*m - 18190 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 125867*z**3 - 2*z**2 + 6*z + 333 wrt z.\nAnswer: 755202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n = -25*n + 414491. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652267 to the power of 1\/2, to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*j - 330440394 = 25080317. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4, -25, -0.06, -5.\nAnswer: -25, -5, -0.4, -0.06, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18474 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + -1 + (5 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence du when two letters picked without replacement from ududduwuuuutuuutuwd?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 2:41 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -40 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*x - 26*x + 18*x)*(-2 + 3 + 0) - 2*x + x + 3*x + (2 + 1 - 4)*(x + 0*x + 0*x) + 2*x + 2 - 2.\nAnswer: -42*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 121\/(-18) + 18\/81. Is -6 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*l = -l + 8, m = 4*l - 10. Which is the closest to -2\/9? (a) -2\/7 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 e when four letters picked without replacement from oeeooeoo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 3*c + 112. Let a be w(12). Suppose s = -5*z - 6 - a, -4*z - 8 = 2*s. Solve s*o - 5*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102)*2 - sqrt(102)))*-5)\/(6*sqrt(54) - sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 42 = -3*u, -4*v + 57*u - 44 = 58*u for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645*l - 327325 = -285400 for l.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10993*b = -m - 10985*b + 48, -3*m + 60 = 4*b for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-26)\/(-117) - (-40)\/(-45))\/(1\/(-6)). Let t(p) = -p - 10. What is t(u)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8163 + 41763. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 11*f**2 + 29*f - 147. Give j(5).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) + -2*-5*sqrt(135))\/(6*sqrt(45))*5)**2*-4.\nAnswer: -3025\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 245522 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: Is 0.1 at most as big as -191674096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1276, -1279, -1266, -1231, -1168, -1071?\nAnswer: -934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/128)\/((-2)\/4)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*m - a, 24 = 4*m - 2*a + 6*a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10595 = -5*y + 2*r + 2*r, -5*r = 0. Suppose 845 - y = -13*b. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -1 - (-9 - (-16 + 10 - -5)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -146, 11, 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50674\/35 + 1448. Let c = m - -16\/315. What is the smallest value in c, -1\/5, -10\/3?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*w - 330 = 81*w. Let k(y) = 3*y + 55. Calculate k(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 736 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 99190 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20, -72, -158, -278, -432, -620, -842?\n\"Answer: -17*g**2 - g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j + 11. Let d be s(-7). Let r = -17 + 25. Suppose m - r + 3 = 3*i, -i = m - d. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + (sqrt(204) - sqrt(204)*2) - sqrt(204))*4)\/(-3*sqrt(108)).\nAnswer: 4*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -966.\nAnswer: -965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2. Let v(u) = 8*u - 3 - 2 - 1. Let b(i) = 23*i - 17. Let s(c) = -6*b(c) + 17*v(c). What is s(g(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5409 (b) 2 (c) 2.7 (d) 0.9 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*i - 67 - 259*i**2 + 48 + 266*i**2 - 3168*i**3 wrt i?\nAnswer: -19008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 2\/25 (c) 611 (d) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9*6\/9 - -153. Suppose 4*f = 3*z + 346, -f - 4*z - 51 + u = 0. Calculate the highest common factor of 242 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4 = 0, 2*k + 22 + 16 = 4*b. Suppose 4*z = 0, 5*u + b*z - 50 = 4*z. Calculate the remainder when 148\/(-6)*42\/(-28) is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 - -76. What is the hundreds digit of 4750\/30 + 1\/m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 8\/3*f**2 - 2\/9*f**3 + 98\/9*f - 40\/3 = 0.\nAnswer: -4, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aiaia. Give prob of sequence iiaa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/667, -206643, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9995862 divided by -3\nAnswer: -3331954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -153159, 8, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2 + 15*w + 3 in the form i*w + t and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -593, -4, 179 in descending order.\nAnswer: 179, 0, -4, -593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.0394 + -0.0794. Let k = o + 0.04. Let x = -19.9 + k. Which is the third biggest value? (a) 3\/5 (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.247 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1015, 877, 751, 643, 559?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/7)\/((-3)\/63)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93555 is divided by 92551?\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w + 329. Let l be n(57). Is l at least 560?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrsr when four letters picked without replacement from {s: 2, r: 9}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 38\/8 - (-6)\/24. Suppose -c + 2 = -0*c. Solve -3 + o*f + 7 - 3 + 4*f**c = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l**3 - 282*l - 4221753 + 4221753)*(7*l - 3*l - 1 - 1) to the form t + s*l**3 + b*l**4 + k*l + m*l**2 and give k.\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/6, 0.5, -1242, -92, 2, -8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-13 + 28 + 3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021831159 take away 0.3233?\nAnswer: 1021831158.6767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 7, 0.2, 6859?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 47 in -190, 0, 4, 3\/4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 220 - 2*m - 18*m - 167 + 18*m**2. Let t be x(17). Solve -5*y - 2*f = -11, y - t = 3*y + 4*f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.5 - 3. Let u = 246 - 81. Let p = -164.9 + u. Which is the nearest to -1\/3? (a) p (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/3 + 28*q\/3 + 16.\nAnswer: -(q - 6)*(q + 2)*(q + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1295403522 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 the biggest value in 0.075, 2\/595, 3\/8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6 = -s, 3*l - 2*s - 23 + 8 = 0. Find the third derivative of -160*t**2 - l + 3 + 126*t**2 - 77*t**6 wrt t.\nAnswer: -9240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-4) + 1 + -2. Let v be 14\/21 + 8\/6. Let g be (w\/7)\/(v\/7). Solve n + g = -1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 92*w - 91*w. Suppose 0 = 37*h - 42*h + w. Solve -3*m + m + 3*p = h, -29 = -2*m - 5*p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109*v**3 - 18*v**2 + v wrt v.\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 3*j - 10, -l + 5*j = 2*l - 16. Is 15 a factor of (l - (-30)\/(-4))*-12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1701) + sqrt(1701)*-4 + sqrt(1701))*1)\/(-6*1*sqrt(63)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyw when three letters picked without replacement from {o: 5, y: 2, w: 2}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.3, -5262, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55850321 is divided by 503156.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 9 = -2*l, 5*l - 30 = 4*n - 9*n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 116 - -124. Suppose 0 = -21*a + 29*a - t. Solve 5*c - 4*s - 5 = 0, -a = -5*c - 0*s - s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3633*b + 1805*b - 1774*b - 997*b to the form v + p*b and give p.\nAnswer: -4599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/30 and -57\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + z = -416, 0 = -4*x - z - 0*z + 340. Factor -15*u - 137 + 63 + 8*u**2 - 27*u + x.\nAnswer: 2*(u - 5)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1035*b*w - 1615*b + 647189*w wrt b.\nAnswer: 1035*w - 1615","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times -34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 462 and 28314?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-222*j**3 + 119*j**3 + 114*j**3)*(20*j**2 - 49*j**2 + 24*j**2).\nAnswer: -55*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4*o**3\/3 + 102517*o**2\/3 - 606985*o - 153882 = 0?\nAnswer: -25647, -1\/4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -92\/21*p**7 - 33\/4*p**4 + 0*p**6 + 0*p**3 + 0*p**5 + 0*p**2 + 0 - 51*p. What is the third derivative of v(a) wrt a?\nAnswer: -11040*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -17021345 = -17021345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 15) to base 14\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*w + 3*w = 1, 2*w = -3*c - 11. Which is bigger: -1\/3533 or c?\nAnswer: -1\/3533","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*j = -2*j, -j + 1 = 3*l. Find the common denominator of -79\/22 and (3\/(-10))\/(l + 95\/(-65)).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**5\/13 - 40*v**4\/13 + 116*v**3\/13 + 200*v**2\/13 - 118*v\/13 - 160\/13 = 0.\nAnswer: -1, 1, 5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -260 - 7710?\nAnswer: -7970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231033*b - 80*b**2 + 462065*b + 77*b**2 - 231032*b + 12.\nAnswer: -3*b**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + y**2 + 10. Let a be n(0). Calculate the remainder when -1 + a + 3 + -3 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3204 - 3682 = -13*z - 7809 for z.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -238 - -236. Sort 1\/7, t, 2\/23 in ascending order.\nAnswer: t, 2\/23, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -248 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 84178*c*r**3 - 12*c*r*u - 2*c*r + c*u + 470*c - 2*r**3*u + 231*r**3 - 37*r**2*u + r**2 + 2*r wrt r?\nAnswer: 505068*c - 12*u + 1386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.30067 * -0.17\nAnswer: 0.0511139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 1. Suppose -103*q + 99*q - x = 2, 27 = -3*q - 5*x. Let u(i) = -3*i + 20. Calculate q*u(h) - 6*z(h).\nAnswer: 3*h + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 3:49 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**5 - 3942773*d**3 - 32*d**2 - 220853382*d + 2?\nAnswer: 40*d**3 - 23656638*d - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 53*w + 56. Let k(c) = c**2 + c + 2. Let m = 506 - 504. Let l(b) = m*k(b) - 2*f(b). Find r, given that l(r) = 0.\nAnswer: -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -1)\/((-14)\/4). Let i be (1\/(-5))\/((-1)\/(-3)). What is the nearest to 0 in z, -3, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20864?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**6\/540 + i**5\/10 - 95*i**4\/108 + 23*i**3\/9 - 3*i**2 + 2309. Suppose v(c) = 0. Calculate c.\nAnswer: 1, 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzoooozozzz. What is prob of picking 1 z and 3 o?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*y**4 + 3*y**4 + 2*y**4 + (4*y**2 - 2*y**2 - y**2)*(-50*y**2 - 28*y**2 + 10*y**2) to b*y**3 + l + p*y**2 + f*y**4 + d*y and give f.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l + 2. Let g(c) = -c - 3. Let j be g(2). Determine r(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*n + 3*n - 27*n in the form k*n + y and give k.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 times -90.99?\nAnswer: -14103.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89272770\/66803 + -30\/6073. Suppose -5*i + 3*u = -6675, 0*u = -2*i - 5*u + 2670. Let y = i + l. Calculate the common denominator of -23\/4 and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f = -5*k - 60, -32 = -4*f - 4*k. Suppose 3*r + 5 = -f, 3*r = -4*j + 1685. Suppose 10 = 5*c - j. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**5\/24 - 13*k**3\/6 - 5*k**2. Let s(v) be the first derivative of n(v). Let o(h) = -8*h + 2*h + 5*h. Determine s(o(a)).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + (51 - 95) + (0 - 9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/5)\/y)\/(y*y*y*y**(9\/4))*(y\/(y*((y*y*y*y*y*(y\/y**0)\/y*y*y)\/y)\/y*y))**26)**(-27) assuming y is positive.\nAnswer: y**(87507\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -145 - -145. Suppose -5*r + 19 = 5*s - 16, -4*r + 5*s + 10 = h. Sort r, 1, 8.\nAnswer: 1, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 12 + 10)*(-t + 2*t**4 + t).\nAnswer: 26*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -45639, 61, -1, 12 in ascending order.\nAnswer: -45639, -1, 12, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r. Let i(m) = m + 1. Let z be i(4). Let h = 4900 - 4898. Let n(l) = -z*l**2 - 10*l**h + 21*l**2. Calculate v(n(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 209365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2018)\/(8 + 172\/(-14)). Let u = 471 - m. What is the nearest to 0.3 in 2, -3, -0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - w + 1 = -3, 12 = 4*r + 3*w. What are the prime factors of (-1 - r) + (-17)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 20*d + 45. Calculate the remainder when 456 is divided by m(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.948 + 1.09. Let s = u - 0.1337. Round s to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.079712075 to 4 dps.\nAnswer: -0.0797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4534, -11, 33, 2, -4 in decreasing order.\nAnswer: 4534, 33, 2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5552859015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 4*d + 826 = 2*s, -405 = -d - 3*s. What are the prime factors of d?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 - 77. Let w be (-8)\/a*(8 - (-2170)\/(-260)). What is the nearest to 1 in 4, 1\/2, w, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p. Suppose -g - 4*g - 10 = 0, 3*g - 6 = -3*i. Suppose i*s = -0*s. What is l(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631 is divided by (-30)\/(-36) + (-6897)\/(-342)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -191*(4\/(-22) - 144\/176)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186611 to the power of 1\/2, to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 8*k**2 - 230*k - 59. Is r(-28) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1268 * -4.\nAnswer: -0.5072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3708 * 34664.\nAnswer: -128534112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 20111122100?\nAnswer: 20111122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 4*j - 27, j + 0*j = 2*c + 18. Let p = c + 26. Calculate the remainder when 33 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**3*w - j**3 - 33*j**2*w - 3*j**2 + 151*j*w + 7*w wrt j?\nAnswer: -6*j*w - 6*j - 66*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = q - 7210, -3*v - 2*q = -44*v + 295739. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + -10001101?\nAnswer: -10010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 4, 1, 3, -3, -35, 1856.\nAnswer: -35, -22, -3, 1, 3, 4, 1856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2590661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.9 - 13. What is the closest to 0.2 in p, 0.1, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 220086 and 130.\nAnswer: 14305590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 852943012?\nAnswer: 2, 29, 43, 307, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 373, -2, -4, 0 in increasing order.\nAnswer: -5, -4, -2, 0, 373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j*o**3 + 158*j*o**2 + 35*j - 7728909*o**3 + 502*o**2 - 2 wrt o.\nAnswer: -12*j - 46373454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1845661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3418\/5 - 684. What is the closest to -8\/3 in d, -6, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136786 divided by 2959\nAnswer: 136786\/2959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/(-6))\/(3\/(-118)) and -103\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9518 (base 12) to base 14.\nAnswer: 5d1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13343 is divided by 2559?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -115\/2, 2\/3 in descending order.\nAnswer: 2\/3, -2\/7, -115\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -57, -5, -39, 0, 7\/8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 14. Let z(v) = -5*v + 5*v + v + 6*v**2 - 2*v**t - 7 + v**3. Let k be z(6). Is -10\/7 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5112757*z + 2559588 wrt z?\nAnswer: 5112757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142570?\nAnswer: 2, 5, 53, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089558889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*u - 133 + 68, -3*i = 4*u + 30. Which is smaller: i or -7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3 + 0*a**3 + 465*a**4 - 77*a**2 - 493*a**4 wrt a.\nAnswer: -672*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 11. Let o be l(9). Let g be (-2 + 270)*(3 - o). Suppose w - g = -3*w. Calculate the remainder when w is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -91053813*a**3 - 37676902 wrt a.\nAnswer: -273161439*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdfqdgd. Give prob of sequence fg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-10)*1\/(112\/40)*-1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - 82\/3)*6568*93\/(-248)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*z + 1)*(5*z**3 + z**2 - z**2) + (2*z + 0*z + z)*(z + z**3 - 3*z**3 + 0*z**3).\nAnswer: 9*z**4 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65460779?\nAnswer: 73, 896723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 12 = 3*x. Let t = -3 - -22. Let d = t - 16. Solve x*k = -3 - d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*u**3 + 37*u**3 + 5*u**3.\nAnswer: 81*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) -4 (c) -0.1 (d) 575 (e) -0.003 (f) 30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 814, 835, 870, 925, 1006, 1119, 1270?\nAnswer: 1465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 2 = -5*d. Suppose -4*i + 29 = d. Let y = 27 - 11. Calculate the remainder when y is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 682 - 961. Let f = l + 279.000445. What is f rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 9 = 7*n, -17 - 6 = n - 5*x. Solve -8*a = -6*a + n*g - 2, 0 = -g + 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*x + 19*x**2 + 75*x - 23*x**2 + 208*x**3 - 210*x**3 + 1 as v*x + u*x**2 + l + n*x**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196338 is divided by 5946?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -5*t - 6*m + 20665, 2*t - 3*m = 8266. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 5583 + 5565 = -n, -3*a - 45 = 3*n for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -49. Let c = 7\/4 + -5\/4. What is the third smallest value in 3, f, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus -26962?\nAnswer: 26954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1097654?\nAnswer: 2, 548827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2.4*-2.952\nAnswer: 7.0848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6842702 divided by 1.\nAnswer: -6842702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(19) - (5 + sqrt(171) + sqrt(19)))*-4)**2.\nAnswer: 4320*sqrt(19) + 28224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 166*a + 163*a - 3 = -3*q + q, 0 = -5*q - 10*a for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-1 + 13 - (-188 - -204)) - -106.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1781000 rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*k**2 + 2*k - 209*k**2 + 4*k + 0*k - 5*k.\nAnswer: -66*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8821906327.1 less than -12.38?\nAnswer: -8821906339.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 24 (b) -0.3 (c) 0 (d) -818 (e) 2\/5 (f) 3 (g) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11890?\nAnswer: 2, 5, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.021 + -0.121. Let o = 10297 + -10297. What is the closest to -1 in 0.3, 1\/2, d, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -55*s - 151. What is the remainder when 559 is divided by t(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**3 + 19*p**2 + 32*p + 22. Let i be a(-5). Is -46 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76.046 + -0.266. Let u = -0.22 - r. Let x = u - -75.99999894. What is x rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.81 - -0.62. Let z = -0.31 + r. Which is the nearest to 3\/5? (a) -1\/11 (b) z (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 430 divided by 1062.\nAnswer: 215\/531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 232*j + 47*j - 75*j + 8364 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1 + (-4)\/(-8)). Solve -10 - d = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + u - 46 + 18, -3*v = -4*u - 20. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**5\/9 - 308*b**4\/9 - 7864*b**3\/9 - 76760*b**2\/9 - 319300*b\/9 - 480500\/9.\nAnswer: -4*(b + 5)**3*(b + 31)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, y: 4, q: 1, p: 6, i: 2, r: 4}. What is prob of picking 2 o and 2 r?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006661063 to 7 dps.\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14873 - 14871. Solve -25*l + q*l + 184 = 0 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 641*d + 3212. What is the remainder when 73 + (4\/(-2) - -1) is divided by r(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssqsssdessqss. Give prob of sequence deqq.\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17161 - -17172. Put 0.3, -4, n, 0, -11 in decreasing order.\nAnswer: n, 0.3, 0, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -4. Let l = g + 3.00015. What is l rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -8*p**3 - 3*p**2 - 74*p + 3. Let q(t) = -3*t**3 - t**2 + 1. Determine b(d) - 3*q(d).\nAnswer: d**3 - 74*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -14*s - 101. Give d(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/27)\/(d\/d**(-5)*d))\/(d**(-1))**(1\/23)*(d\/(d\/d**(-2\/5))*d**(-9\/4))**11 assuming d is positive.\nAnswer: d**(-447523\/12420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2936073 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 334 - 335. Which is the closest to 0.2? (a) -0.01 (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1584)*-2 + 4) + 6*sqrt(1584)*1 + -2 - (-5 + -6*3*(sqrt(1584) + sqrt(1584) + -1 + sqrt(1584))*-5))**2.\nAnswer: -743088*sqrt(11) + 118933153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3208030 * -1.06.\nAnswer: 3400511.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 - 4*u - 6. Let q(i) = -i**2 - i - 1. Let p = -811 - -810. Calculate p*f(r) + 5*q(r).\nAnswer: -7*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (37\/(-142) + 5\/20)*-42 and -121\/6?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 24, 27, 26, 15, -12, -61?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -355\/3507 - -1\/167. Let m = k - -29\/84. Factor -1\/4 - m*u**2 + 1\/2*u.\nAnswer: -(u - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 11:45 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.752603kg in grams?\nAnswer: 4752.603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*m - 12, 2*d + 0 = -5*m - 1. Let i(k) = 0*k - 4*k - k**d + 0 + 1 + 3*k. Let b(z) = -2*z**3 - 5*z**2 - 3*z + 5. Determine b(u) - 5*i(u).\nAnswer: -2*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/(-44) + (-558)\/(-56). Let i = 2\/160425 + 141334369\/4491900. Let s = i - o. Calculate the common denominator of 83\/30 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 3, 2*h - 11 = -n - 2*n. Solve -5*l = -r - 17, h*l - r - 20 + 6 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13184 + -9574579\nAnswer: -9561395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1765543243 and -3.31441.\nAnswer: -3.1378556757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19610*s**3 + 15854*s?\nAnswer: -117660*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-6\/11))**(-50)*v\/v**(-9)*v\/(v**(1\/14)*v))**(1\/4) assuming v is positive.\nAnswer: v**(5729\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x - 19. Let y be z(-7). Solve 2*k = 4*m - 2, -8*k = -m - 3*k + y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -4*i**2 - 30. Let u(q) be the third derivative of -q**4\/6 + 19*q**2. Give j(u(w)).\nAnswer: 32*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l - 1. Let h be a(-2). Suppose 0 = 4*k + 4*x + 60, -5*k - 2*x - 75 = -6*x. Let v = k - -16. Solve u = -h*z + 4*z + v, -3*u - 9 = 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10602142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -25.2. Which is the third smallest value? (a) 0.3 (b) j (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 + 174 + 171 + 202 + 177 - 724.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 29*x**2 + 114*x - 58. Determine z(31).\nAnswer: 1554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 + (-32 - -62))*(-16)\/10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*q - q. Let y = 25 + q. Calculate the remainder when (402\/(-12))\/((-1)\/2) is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -136, -531, -1188, -2107, -3288, -4731, -6436?\n\"Answer: -131*u**2 - 2*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 - 9*p - 6. Let m = -5558 - -5554. Give u(m).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-22)\/(-4))\/(160\/(-128)) + (-3)\/5. Let o(t) = -t + 3. Let s be o(5). Let y be s\/((-2)\/(0 + 2)). Sort -25, y, 5, w.\nAnswer: -25, w, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 2, 2*a = -21703*s + 21698*s + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 328 = 4*p, -p = -w - 113 + 27. Let x be w\/(5 + -11) + -2. Solve 6*b - x = 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 331045?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 160 + -158. What is the highest common divisor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c752 + 4?\nAnswer: -1c74d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a**3 - 3*a**3 + a**3)*(-5*a + 15 - 15) + 2*a + 2*a**4 - 2*a as i + q*a**4 + t*a + h*a**3 + o*a**2 and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4\/11 - 72047806*n**3\/11 + 648430368*n**2\/11 - 1729147744*n\/11 + 1152765184\/11 = 0. What is n?\nAnswer: -36023912, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand f - 4 + 4 + (34 - 15 - 6)*(2*f + f - 5*f).\nAnswer: -25*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -7*l**2 + 14. Let x(n) = 2*n**2. Give x(b(p)).\nAnswer: 98*p**4 - 392*p**2 + 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**4\/12 + 2*g**3\/3 + 7*g**2\/2 + 15*g. Determine v(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2\/5 - 112502*a - 10688412\/5 = 0. What is a?\nAnswer: -19, 281274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6 = -5*d. Let z = -3 + d. Suppose z = 5*k + g - 431 - 175, g + 120 = k. Calculate the remainder when k is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*1*-1 + sqrt(78) + (sqrt(78) - (sqrt(78) - (sqrt(78) - -1*sqrt(78)) - sqrt(78))*5))\/(sqrt(12)\/((sqrt(28)\/sqrt(2))\/sqrt(7)))*1.\nAnswer: 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 3 + 3)*(-3 + 5 - 3) + 3*n + 0*n - n + 0*n + 3*n + 3*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 14477567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*r + 27*r + 18*r - 66*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -20 + -2 + -10 + 14. Let x be ((-15)\/p)\/5 - 22\/(-12). Suppose 236 = x*v + 2*v. What is the remainder when 116 is divided by v?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -76, -398, -934, -1684?\n\"Answer: -107*u**2 - u + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 40019 = -5*r, -r = 113*f - 112*f - 8005. What is the hundreds digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6101 is divided by 1990.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 2 + 6 + -68 + (105 - 45)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -128231 (base 15) to base 5\nAnswer: -211404441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3 - 6 - 3*v + 2*v. Let b be q(-9). Find the third derivative of -3*u**6 + 4*u**b + u**2 - 2*u**4 + 2*u**4 wrt u.\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*h - 120*h - 202 = 0. Factor 0 + 3\/4*t**3 + 3*t + 15\/4*t**h.\nAnswer: 3*t*(t + 1)*(t + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22637182 a multiple of 593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 17*a**3 - 11*a**2 + 51*a - 208. Give w(4).\nAnswer: 908","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 148.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrrnmmhnnhhnhnhxxh. Give prob of picking 1 n and 2 h.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**8\/6720 - o**7\/504 - o**6\/240 + 3*o**5\/40 - o**4\/24 + 3*o**2. Let v(r) be the second derivative of i(r). Factor v(m).\nAnswer: -(m - 1)*(m + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j**2 - 393*j + 0*j**2 + 4*j**2 - j**2 + 420*j.\nAnswer: 3*j*(j + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o - 5. Give t(-5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.157 and 3.849.\nAnswer: 3.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1442 + 1442.1. Suppose 3*q - 26 = 5*o, q - 5*o = -9 + 31. What is the second biggest value in 3\/50, y, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 7*d + 10. Let z(q) = q. Let w(n) = -n**2 + 5*n + 6. Let v be w(7). Let u be z(v). Let p be o(u). Solve -r + p*r = -2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*i**3 - 64*i**3 + 50*i**3.\nAnswer: -322*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119.1 + 113.53. Let z = d + 5.570002448. Round z to seven dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 231 + -417\/2. Let i = 23 - h. Which is the smallest value? (a) -0.3 (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -32*a**2 - 3*a - 12. Let y(g) = 609*g**2 + 56*g + 231. Determine -77*v(t) - 4*y(t).\nAnswer: 28*t**2 + 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1683 - -4710. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 8, -i + 2 = v - 1. Suppose 6 = -i*b + 16. Suppose b*p - 104 = -p - 4*x, 0 = -p - x + 34. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 a factor of 2627229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*h - 51 + 191. Suppose h = -3*k + 4. Which is the smallest value? (a) 0.4 (b) 7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 19\/3?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(-y + 4*y - 2*y) + 10*y - 9*y - 2 - 3*y.\nAnswer: -4*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*w + 2*w + 17*w to n*w + l and give n.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 71 = -73. Suppose -34*y + n*y = 28. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + -1.3. Let i = 2722.1 - 2722.3. What is the second smallest value in n, -2, i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 3*t - 11 + 15 - 3*t.\nAnswer: 2*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3595*m**3 - 78 + 382*m**4 - 3595*m**3 + m**2 wrt m.\nAnswer: 9168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 23*k - 217 = 12*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m + 43. Let h be w(-8). Suppose -4*n = -5*t - 3827, n + h*t = 532 + 412. What are the prime factors of n?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 + 0 - (13 + (-20 - (11 - 7))) - 10?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4381878789.\nAnswer: 3, 277, 65099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 8, n: 8, p: 2}. Give prob of sequence yp.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 641*h - 10227. Give o(16).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 13*a + 8 = 0. Let u be (2\/((-12)\/27))\/((-1)\/a). Let q = u + 55. What are the prime factors of q?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w - 12*w + 36. Suppose -w = 4*h, 3*v + h = 2 - 5. Differentiate 2*u**3 - 4*u**3 + 4 + v*u**3 wrt u.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 57 + 65?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 1:29 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**2 + 3478536*i - 1008351058608 = 0.\nAnswer: 579756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 69*c**6\/20 - 126*c**3 + 7*c**2 + 54. Find the first derivative of w(n) wrt n.\nAnswer: 1242*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9.75699 grams?\nAnswer: 0.00000975699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 19 - 7 - 4*f**3 - 9 - 4*f - 8 + 4*f**2. Let j be y(5). Let x = -94 - j. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/22064 and 41\/72436?\nAnswer: 57079568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -10. Let o(l) = 5*l - 22. Let m be o(5). Let k = m - c. Is 1 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 1. Let a(o) = -31*o - 4. Let c(j) = -a(j) - i(j). Is c(2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(81) + 1*sqrt(81)).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yooyyyoyoyyoyy. Give prob of sequence yyyo.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**3\/5 + 3202*n**2\/5 - 68084*n\/5 + 12976 = 0.\nAnswer: -1622, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*g**3 + 2148*g**2 - 16*g**3 + 9*g - 11*g.\nAnswer: g**3 + 2148*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-110)\/(-14) + -8). Let k(u) = 3*u**3 + 3*u**2 - 11*u + 7. Let w(c) = c**3 + c**2 - 4*c + 2. Give b*w(s) - 2*k(s).\nAnswer: s**3 + s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 30 = -k, 2*r + r = 2*k - 63. What is the highest common factor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 9*r**4\/4 - 2721*r**3\/8 + 23457*r**2\/8 - 1917*r\/4 = 0?\nAnswer: 0, 1\/6, 9, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 2*u**2 - 16*u + 4. Let z be f(-6). Let v be (4 + -3)\/((-1)\/(-242)) + 2. Is z less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, -17, -1\/16, 0.2, -82202, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1411\/36 or 40?\nAnswer: 1411\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 557 - 94. Calculate the remainder when u is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -269 + 608. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/9)\/h**(-11))\/(h**(4\/7))**(-11) assuming h is positive.\nAnswer: h**(1103\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 54 * -11\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2508 and 429?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108, 40, -66, -204, -368, -552, -750?\nAnswer: -956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7408 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/6 of a decade in months?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 0.1, 0.4, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -8 (c) -3\/2 (d) 3 (e) -0.03 (f) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 0*p**4 - 4*p**2 + 1\/15*p**5 + 1\/3*p**3 + 0*p + 0. Differentiate k(o) wrt o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 160.85 - 154. Let y = t + -1.27. Let z = y + -1.94. Round z to one dp.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*(-2)\/(-45)*261\/(-116).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -1\/60*m**6 + 2 + 0*m**4 + 4\/105*m**7 + 0*m**5 + m**2 + 1\/6*m**3 + 0*m. What is the first derivative of n(h) wrt h?\nAnswer: 32*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -13*m - 45. What is the tens digit of t(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**3 - z. Let b be s(-1). Solve -4 = 2*r - b*a, 3*a = a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*d = 21, -33*n = -34*n - 4*d - 9. Sort -86, n, 4.\nAnswer: -86, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 12477 = 3847. What is w rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/200 and -119\/2668900.\nAnswer: 5337800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 121 = 906. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522939?\nAnswer: 3, 31, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106 - -110. Solve -5 = 3*g - 4*g - 5*h, -2*g - 4*h = -c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 5. Let l = n + -21. What is the biggest value in -2, l, -1\/5, -3\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29799107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.24 - 0.64. Which is greater: -0.3 or x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/732 and 41\/21960.\nAnswer: 21960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -152 + 167.3. Round j to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -20. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2. Let p(l) = 1250160*l. Give i(p(z)).\nAnswer: 1562900025600*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 0*d**4 - 165\/2*d**2 - 37*d + 0*d**3 + 57\/4*d**5 - 1. Differentiate i(o) with respect to o.\nAnswer: 855*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 32 = 4*d, 5*d - 16 = d - 4*p. Let v(u) = u**3 - 3*u**2 - u - 5. Is v(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249*s - 6762 = -318*s. What is the highest common divisor of s and 714?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8980)\/3592)\/(2\/36).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a decade in months?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -120 - -240. Suppose 9*f = 168 + v. 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 v = -392 - -397. Calculate the remainder when 6 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19562 less than 19547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.18 - 1.18. Let q = -1087\/7 + 155. Suppose 4 + 0 = w. Put o, w, q in increasing order.\nAnswer: o, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1213 divided by 611\nAnswer: -1213\/611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 q, and 1 o when four letters picked without replacement from qqtovet.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 5*q**4\/12 - q**3\/6 - q**2 - 1445*q. Calculate g(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and -3.888.\nAnswer: 0.34992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 380, 844, 1378, 1982, 2656?\nAnswer: 3400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (236463 - 236463 + 597*k)*(k + 1 - 1) to z*k**2 + d + x*k and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -543 = 5*l - 1558. Let m = 160 + -301. Let i = m + l. Calculate the remainder when i is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-12)\/t))**(-9))**(5\/2) assuming t is positive.\nAnswer: t**(-315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19289 + -3?\nAnswer: 19286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8218564794.99999859 - 8218564857. Let t = -154 - -92. Let f = w - t. Round f to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59105 + -25*14\/70 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 20*i + 58. Let u(g) = -87 + 6*g + 2*g - 16*g - 22*g. Let c(j) = -7*s(j) - 5*u(j). What is the units digit of c(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from tttttttttbtttbtttt.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, k: 2, r: 3, b: 1, u: 1, g: 1}. Give prob of picking 1 g and 1 s.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 22*i**2 + 1 - 8*i - 3*i + 13*i - 1 as d + m*i + g*i**2 and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -38 + -176386?\nAnswer: -176435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1310 + 647 - 56109*i + 663 + 6159*i.\nAnswer: -49950*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21253830.\nAnswer: 2, 3, 5, 13, 54497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-24))\/(20\/(-120)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 589, 496, 365, 196?\n\"Answer: -19*l**2 - 36*l + 644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y - 45. Let z be a(8). Suppose 2*v = -z*k + 107, -v + 8*k = 3*k - 34. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 213914570 and 680.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -0.3 (c) -0.4 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -17*u**2 + 354*u - 3799. Give d(10).\nAnswer: -1959","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -49992 and -4061312.4?\nAnswer: 4011320.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2400398*h**3 - 3597*h**2 - 3597*h. Let p(t) = -6001*t**3 - 9*t**2 - 9*t. Calculate -6*o(f) + 2398*p(f).\nAnswer: 11990*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 7. Suppose -u + 2*a - 19 = 0, -2*u = u + 5*a + 13. Let g be i(u). What is the remainder when 46 is divided by 184\/g - 4\/18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30784109916.848 + 3?\nAnswer: 30784109919.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134 - (-45)\/(1701\/7371 - (-2 + 68\/13)).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 391*m**2 - 5637*m + 13365.\nAnswer: (m - 11)*(m - 3)*(m + 405)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2252 and 14.\nAnswer: 15764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 1 - 1)*(-2 - 1 + 4) + (-412 - 4 + 196 - 693)*(-2 + q + 2).\nAnswer: -910*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, 2\/13, -7, -0.7, 5\/2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -30 + 28c?\nAnswer: 25c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 2*l**2 - 2 + 0*l)*(0*l + 0*l + 3*l**2)*(-l - l - l) + 15*l**5 - 5*l**5 + 20*l**5.\nAnswer: 48*l**5 + 18*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 17 = -1. Suppose t - m = -4*m + 12, -5*t + m = -124. What is the highest common factor of w and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1011 + 3063*p - 881 + 601 wrt p?\nAnswer: 3063","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 410\/864 - (-123 - (-684332)\/5562)\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75421970*q**3 - 2732432*q**2 - 8 wrt q.\nAnswer: 452531820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 25*r - 28. Let k be v(-15). Suppose 0 = -20*c + k - 1302. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + 58 - (-4 + (-2 - -16) + -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 484?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**2\/15 - 9342*a\/5 = 0.\nAnswer: 0, 14013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + 0. Let n = p - -0.4. Let m = -1.1 + -0.9. Which is the closest to -1? (a) m (b) n (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 0.1. Let y = 5903367\/13 - 453850. Let c = y + -255. What is the third biggest value in -1\/4, c, v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 189 + -190. Let t be 17 - (2\/2 - b). What is the highest common divisor of t and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13\/2 - 69\/10. Let a = 145.3 - 145.6. Let l = 0.39 + 0.01. What is the nearest to t in l, a, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 27*v + 165. Let z be u(-18). Solve -2*a + 5 = r + 3, 12 = 3*a - z*r for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (-1 - 1) - -3. Which is bigger: d or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*u - 5243 = -9968 for u.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/1791678 and -31\/56?\nAnswer: 7166712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*8\/784)\/(((-400)\/300)\/((-4)\/(-6)))?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18181470*q + 18181470*q - 2*q**3 + 8*q**5 - 245*q**2 - 781*q**2 wrt q.\nAnswer: 480*q**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c**2 - 2. Let u(s) = 3*s**2 + 8*s - 11. Let i(t) = t**2 + 3*t - 4. Let k(x) = -8*i(x) + 3*u(x). Determine -2*k(h) + o(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6892 in 4, -0.4, 8, 1.34?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + 1 + -4 + sqrt(637) + -1 + 1 + 4 + (sqrt(637) - (sqrt(637) - -2*sqrt(637))) + -2 + sqrt(637))*-3)**2*-1.\nAnswer: -5742 + 126*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6740969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 20 = 2*s, -4*s - 34 = -5*p - 0. Suppose 4*g + 4 = p*g. Suppose 10 = g*t - 4. Solve 3*x - t*x + 6 = -5*u, 0 = -4*x + u + 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from {k: 5, e: 9}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 234132.467 to the nearest 10.\nAnswer: 234130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 20\/3*(-408)\/170\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 69608 times 3370\nAnswer: 234578960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(0 + 2*x + 0)*(-1 + 1 + 2) + (3 - 3*x - 3)*(-1 - 1 + 0).\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6306, -31, -1\/9 in ascending order.\nAnswer: -31, -2, -1\/9, 6306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 7*q + 12. Let b be o(6). Let a(x) = x**2 - 9*x - 7. What is a(b)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34572 divided by -17286.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 6*a**2 + 6*a + 5. Let c = -43 - 14. Calculate the remainder when c\/15*(2 + -12) is divided by h(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1724968 and -5\/8?\nAnswer: 1724968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1255 (b) 0.2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 201164320*s**3 + 190776740?\nAnswer: 603492960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 21002112210 (base 3) to base 4\nAnswer: 202011312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n = -21*n - 40. What is the units digit of 860*((-34)\/n)\/(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 70*l + 11. Give p(-1).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3009?\nAnswer: 3, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7*-0.01.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. Suppose 5*s - 30 = -q*i, 5*s - 5 - 5 = 2*i. Is 18 a factor of 6\/s*10 - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 8.4912975us?\nAnswer: 0.00000000009827890625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12754.671*-3.\nAnswer: -38264.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -85. What is the remainder when k is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/9 - 55*f**2\/9 - 646*f\/3 - 1512.\nAnswer: (f - 81)*(f + 12)*(f + 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - a = 3*l + 105, 5*a + 110 = -4*l. Let n = a + 28. Suppose b - d = 32, -d - 156 = -5*b + 3*d. Calculate the remainder when b is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 12 = n - 5*q, -14 = 2*n - 4*q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/691017 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 262007242826505 + -0.4\nAnswer: 262007242826504.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 18. Suppose u = c + 25, -r*u + 0*u + 3*c = -45. Suppose 3*b - 50 = -2*b. Calculate the highest common divisor of u and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -8\/3, -6\/515, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -22540 divided by -944\nAnswer: 5635\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1068?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**4 - 12*s**4 + 5*s**3 + 17*s**4 + 4*s - s in the form d + u*s**4 + h*s + j*s**3 + o*s**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*p + 350 = 0, -3*h - 155 - 52 = 4*p. Is h smaller than -73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/26*(-11)\/(231\/(-14))*271\/542?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*(s**(1\/4)\/s*s)\/s)\/((s**(-11)\/s)\/(s\/(s*s\/(s*s**(-1\/6)\/s*s)*s*s))) assuming s is positive.\nAnswer: s**(169\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -696 - -11389. Let o = -7272 + f. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -4*o**3\/3 - 12*o**2 - 20*o - 218. Factor t(s).\nAnswer: -4*(s + 1)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 15*b**2 + 18*b + 22. Calculate f(-16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -15*i + 5. Let n(y) = 8*y - 3. Let q(a) = 11*n(a) + 6*s(a). Let c be q(-2). Is c bigger than -1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*x**2 + 11*x**2 + 9*x**2 + 6*x**2.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -395, -394, -393?\n\"Answer: a - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(20)\/((sqrt(4) - -2*sqrt(4)) + sqrt(4) - sqrt(4) - sqrt(4)) + sqrt(180) + -2.\nAnswer: 3 + 13*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 8 = -105*y + 109*y, -4*y - 3*u + 8 = 0. What is the fourth smallest value in y, -595, 4, -0.5, -1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 + 8142259*w\/2.\nAnswer: w*(w + 16284518)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 170 = -s - 4*d, 10 = -2*d. What is the greatest common factor of 209 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 4)*(-8*m + 6*m + 5*m) - 270*m + 87*m - 32*m to the form o + z*m and give z.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-3)*48\/(-8). Let i = f - -20. Calculate the lowest common multiple of ((-66)\/(-77))\/(3\/56) and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 11:22 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Let t(h) = -h**3 + 5*h**2 + 7*h - 3. Let c be t(6). Suppose c*y = -y. Solve y = -f + g*f + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence php when three letters picked without replacement from ypyppphhpyphppphyhph?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-9)*(-1080)\/(-128)*-4*132\/55?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 574\/9 - 64. Let b = -2.82 + 0.85. Let p = b - 0.03. What is the biggest value in p, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 260 + v**2 + 2*v**3 - 5*v**3 - 79*v - 127 - 135 - 2*v**4 + 5*v**3 in the form a*v**4 + d*v**2 + g + o*v**3 + l*v and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**7\/210 + 11*o**6\/60 - 97*o**5\/60 - 11*o**4 - 24*o**3 + o**2 - 363. Factor g(y).\nAnswer: -(y - 12)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 451\/24 + -457\/24. Let a = 1285\/7 - 184. Let k be 2\/3 + (-4)\/6. What is the fourth smallest value in k, -5, m, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -391*7\/119*1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 7 + -4 + 12 + -13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24870, 49733, 74582, 99417, 124238, 149045, 173838?\n\"Answer: -7*r**2 + 24884*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 53*o**2 + 4*o - 4. Suppose 2*g + 7 = u, u + 0*u + 3*g + 3 = 0. Is p(u) 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) 80 (b) -12 (c) -6 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + 2. Let m(p) = -p**3 - 12*p**2 - 13*p - 15. What is the remainder when r is divided by m(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -6. Let a = 906 + -901. Suppose -30 = -5*l - r*v + 12, -a*l + 22 = -2*v. Let o(g) = -g**2 + 6*g + 7. Calculate o(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -11. Suppose -5*r + 2*p + j + 62 = 0, 4*r - 59 = 3*p. Let t = -2 - -4. Solve 4*m + 9 + r = -o, 10 = -5*o - t*m for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -6*f**2 + 374*f - 107. Give i(62).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/221 + 1*(-2)\/(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 11*w - 2. Let j be y(11). Suppose -2*o + 2*l + 10 = 3*l, 0 = -3*o - l + 17. Sort 3, o, j in ascending order.\nAnswer: j, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**2 - 106376*b + 55562052 = 0.\nAnswer: 533, 26061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340*r = -330*r - 150. Let h = 0.43 + 0.57. Sort h, -2\/5, r, 2\/13 in increasing order.\nAnswer: -2\/5, 2\/13, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 320955076146.\nAnswer: 320955076146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**4\/24 + a**3\/2 + 9*a**2. What is the least common multiple of 7 and g(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 + 11*b + 5*b - 23*b + 46 to the form k*b + v and give v.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(36)*-2).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16137*t**4 + 2*t**2 - 5239*t?\nAnswer: 387288*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4576156 - -1.26316.\nAnswer: 4576157.26316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5012022?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/430 and -9\/2.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6213.212 + -6222. Round c to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) -4\/9 (b) 0.21 (c) -209 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 473 + -375 - (1 - -83).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a second in microseconds?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(3 - 3 - b**2) + (-2*b**2 - 3*b**2 + 3*b**2)*(-2 + 1 + 3) + 12572*b**2 + 40 + 19778*b**2 - 40.\nAnswer: 32345*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 480647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 181931851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 88132381 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*f - 11 - 17. Suppose f*c - 95 = -3*j - 39, -5*j + 2*c = -72. Calculate the smallest common multiple of 32 and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**3 - 325816*q**2 = 0.\nAnswer: -81454, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6, 30, 92, 210, 402, 686, 1080, 1602?\n\"Answer: 3*f**3 + f**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7352 (base 13) to base 2.\nAnswer: -11111001010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2465105287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (320\/128)\/(5*-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**3*w**(1\/3)*(w*w*w**(-1))**(3\/2) assuming w is positive.\nAnswer: w**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 l when three letters picked without replacement from llplpplppllpp.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.9 + 32. Let g = u - 11.172. Let p = -0.172 - g. Which is the nearest to 2? (a) -1 (b) p (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven halves of a centimeter in millimeters?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 greater than -56.5021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-12)\/y**(1\/5)*y*y**(3\/20)*y*y*y**(-5)\/y)**(-17) assuming y is positive.\nAnswer: y**(5117\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 3)\/((-3)\/27). Let v be p*(3 + (-11)\/3). Suppose -k + v = -11. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l = 0. Let a be (-2 + l)*2\/4. Let n(c) = c**2 + 7*c + 5. Let b be n(-5). Sort a, 4, b.\nAnswer: b, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2573 rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5120 + -3831. Is -2 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 91566 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/13 (b) -3\/7 (c) 1 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + sqrt(2))**2 - (-1 + sqrt(8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m**5 - 764*m**4 - 504*m**3 + 494808*m**2 - 985108*m + 491556 = 0.\nAnswer: -23, 1, 39, 137\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3412, 3420, 3440, 3478, 3540?\nAnswer: 3632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1, 15, 1\/19, -11?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*u, u + 7 - 4 = 2*v. Put v, 3, -4 in descending order.\nAnswer: 3, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0*n + 0*n)*((-3 + n + 3)*(-4 + 0 + 3) - n + 0 + 0) + 124*n**2 + 290*n**2 + 51*n**2.\nAnswer: 467*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3572900 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -810.3 and 0.1.\nAnswer: -81.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 16*a**2 + 51*a + 3. Give x(-2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -99032.7289 rounded to the nearest one hundred?\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2909244*-0.06.\nAnswer: -174554.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ggbbggs.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/46332030 and -86\/23166015.\nAnswer: 46332030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 5*j - 168, -387 = -5*w - 4*j + 16. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w + 0 - 38*w + 17*w - 4.\nAnswer: -7*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**12\/(l\/((l\/(l\/(((l**(-16\/5)*l)\/l*l)\/l)))\/l)))\/((l**(8\/9)\/l)\/(l*l**(1\/28))))**(-2\/25) assuming l is positive.\nAnswer: l**(-10013\/15750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 902 - 855. What is the remainder when 280 is divided by c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**3 + 43 - 43)*(-3*i - 39 + 39) to the form c + d*i + n*i**4 + y*i**3 + a*i**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705*c + 1411*c = 703*c + 9, -19*y + 2*c + 2*c - 107 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/8 - 2\/8. Let a = 5 + j. What is the remainder when a is divided by (-2)\/(-3) + (-12)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p + 26*p - 106*p.\nAnswer: -74*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 27*r - 422. Determine g(38).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 22563221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 7. Determine s(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 2:02 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 202803 or 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 13*d**3 - 7*d**2 - 31822*d + 31825*d + 2*d**2 in the form y*d**3 + o + j*d + r*d**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 97.94506nm?\nAnswer: 0.09794506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0353 - -0.4353. Let l = -0.1 + 0.1. What is the nearest to h in l, -4, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 891 and 8645703.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 22*s + 21*s + 38*s**2)*(0*s + 2*s - s).\nAnswer: 38*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84962868 divided by -6.\nAnswer: -14160478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/(496\/(-930))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -9 + -30 + 37 - (-116 + 100).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 43?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -15*w**3 + 3*w**2 - 3*w. Let n be m(-3). Suppose 2*v = 3*g - 33, 4*v - 5*g = -60 - 9. What is the common denominator of 85\/8 and n\/40 - v\/35?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 375360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 8:01 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/((-57)\/2))\/((-16)\/3).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - 1. Let j = 11 + n. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 7*z + 24 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-186) - (6*1\/(-120) + 733512\/(-4960)).\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10)*1 + (-36058)\/(-65560) - (-193)\/4.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*u - 24. Suppose 2*b + 114 = u*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 47?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -71 and 0.25.\nAnswer: -70.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8143171 nanograms in milligrams?\nAnswer: 0.0000008143171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/4 of a meter?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27256\/3 + 9085. What is the smallest value in -1\/6, 39, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l - l**2 + 0*l - l + 2*l**3 - 1 + 2*l. Determine d(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(132)*-2*1*5)\/(-1*(sqrt(432)*1*5 - sqrt(432))).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 525638818 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1023864.\nAnswer: 2, 3, 37, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -252 (b) 29 (c) -193\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1474*d**2 - 1474*d**2 - 115*d**4)*(131 - 146 - 68) in the form w*d**4 + h + b*d**3 + l*d + n*d**2 and give w.\nAnswer: 9545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-4 + 2)) + -146 + 154.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(7) + 1*(sqrt(21)\/sqrt(3) - sqrt(7)) + (-2*sqrt(7) - sqrt(7))*-1))**2 + sqrt(112) + (sqrt(112)*5)**2 + sqrt(112) + (sqrt(7) + 1)*-2.\nAnswer: 6*sqrt(7) + 2910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a**(2\/41)*a*a)\/a)\/(a**(-1\/3)*a)*((a**(-1\/21)\/a*a)\/a)**(2\/27) assuming a is positive.\nAnswer: a**(53573\/23247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -579 + 1560783797?\nAnswer: 1560783218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - -11. Let y = 12.5 - r. Let z = 0.5 + y. Which is the second smallest value? (a) z (b) -2\/5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2639 is divided by 225?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 6. Let g be y - (1 - (-222)\/231). Let q = g + -394\/231. What is the second smallest value in 4, q, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnnjnnjnnnn?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + p + 265 = 5*w, 3*w - 4*p = 157. What is the remainder when 327 is divided by w?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 5:26 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 55036.72 micrograms in nanograms?\nAnswer: 55036720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-6))\/(2\/12). Suppose -51 = -y*o + 25. What is the remainder when o is divided by 5\/((-15)\/(-9)) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*k**2 - 5*k**2 - 31*k**2 + (-5 + 0 + 4)*(-2 + k**2 + 2) + 5*k**2 - k**2 + 0*k**2.\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*q - 2 = 0, 2*k - 3*q = -0*q - 12. Let a be (k - -2)\/(11\/(-55)). Put a, -3, 4 in increasing order.\nAnswer: -3, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 1. Is 1148 - ((-4)\/z + -2 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 629270?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - (-253 + (-2)\/1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-6)\/(-12954)) + (1 - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9076 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*h - 16*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 18013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 5*j - 3*c, -33*j - 4*c + 4 = -29*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*n**3 + 51*n**3 - 22*n**3 + 2 + 0*n**2 - 7*n**3 + 0*n**2 + (-4*n + 3*n + 4*n)*(4 + 4*n**2 - 4).\nAnswer: 2*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 2.09\nAnswer: 0.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -553*c = -293*c + 364*c - 13104 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6 + 6\/(-9) + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5 + -2.5. Which is the nearest to -0.5? (a) 1 (b) -2\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 9*h + 10. Let x = 30 - 74. Let j = x + 36. What is d(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 17*x**5\/60 + 13*x**4\/24 + 17*x**3\/6 + 4*x**2. Let g(q) = -3*q - 2*q**2 - 3 - 1 - 2*q**2. Give 26*g(n) + 6*y(n).\nAnswer: -2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -18. Let w = -83\/2790 - 4\/155. Which is greater: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21519, -42996, -64473, -85950, -107427, -128904?\nAnswer: -150381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 59*n - 104, -5*v + v + 19 - 27 = -5*n - 33 - 30 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/3*t + 1\/3*t**2 - 5.\nAnswer: (t - 15)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 3*b - b)*(2*b**4 - b**4 + 0*b**4) - 2*b**5 + 2*b**5 + 2*b**5.\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 5*c + 25, 4*c = -173*z + 171*z - 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27*o + 0*o + 3*o)*(-3*o + 6*o - 2*o)*(4 + 2*o - o - 3) in the form k*o + l*o**2 + f*o**3 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(192)*4 - sqrt(3)) + 0 + (sqrt(2) - (sqrt(50) - sqrt(300)\/sqrt(6))).\nAnswer: 32*sqrt(2)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 112.066 or 1\/4?\nAnswer: 112.066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81.5 + 36. Let g = 46 + m. Which is the nearest to -2? (a) -5 (b) 1\/10 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1899398 is divided by 75.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -944156, -1888502, -2832848, -3777194, -4721540?\n\"Answer: -944346*x + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 2787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00529491516 rounded to seven dps?\nAnswer: 0.0052949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 76 = 83*a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -10, 5, 29 in decreasing order.\nAnswer: 29, 20, 5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 39 - -450552?\nAnswer: 450590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -125*f**2 - 126868*f + 7124. Give k(-1015).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9b362067 - 2?\nAnswer: 9b362065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 152 - 147. Let s = 0 + 1. Let h be 15 - (0 + 1\/s). Solve -g*y + h = 34 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 21*c - 242. Let m be s(12). What is the second derivative of 9*u**5 - 10 + u**3 + m*u + 38*u**5 - u + 0*u + 0 wrt u?\nAnswer: 940*u**3 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f. Let n(y) = -y**2 - 2*y + 1. Let b(i) = -12*i**2 + 36*i - 18. Let a(v) = 2*b(v) + 36*n(v). Calculate k(a(w)).\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*a. Suppose 5*o + 44 = 3*f, -3*f - 4*o + o = -12. Suppose a = -3*g + f*g + 20. Sort 2, g, 0.\nAnswer: g, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*m - 8 = -14, -2*m + 14 = -3*r. Let f(a) = 2*a**3 + 3*a**2 + 3*a - 3. Let z(o) = 2*o**3 + 2*o**2 + 2*o - 2. What is r*f(w) + 3*z(w)?\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqeqeeqrqeqeqeeeeq. Give prob of picking 1 r and 3 e.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n - 10. Let b(v) be the second derivative of -v**5\/20 - v**4\/2 - 7*v**3\/6 + v**2\/2 + 31*v. What are the prime factors of b(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**3 - 121*r**2\/6 + 122*r\/3 + 22\/3 = 0.\nAnswer: -22, -1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q - 5. Let y(f) be the first derivative of -5*f**2 + 9*f + 256. Suppose 5*h - 7*h + 10 = 0. Calculate h*j(v) + 3*y(v).\nAnswer: -5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is a0386b (base 15) in base 6?\nAnswer: 431003532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (63\/(-32) + 2)*-17 and ((-194)\/(-28))\/((-46)\/23).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -3. Let u(l) = -10*l**2 + l. Let c be u(x). Let y be 1*-2*c\/6. Calculate the greatest common factor of y and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k - k + 2*k**3 + 0*k + 4. Let c be ((-6)\/2)\/(-4 - -5). Let g(q) = 15*q**2 + 2*q**3 - 7*q**2 + 5 - 5*q - 8*q**2. What is c*g(i) + 4*x(i)?\nAnswer: 2*i**3 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 + 5. Let q = i + 24. Does 26 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*j + 8 = 3, 0 = -3*g + 3*j + 15. Suppose -3*r - g*r = -726. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 3\/1028 (c) 1 (d) -6877\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -820 rounded to the nearest 10?\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -4*b - 20 + 4, 0 = -30*b + 29*b + 2*z + 11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 19*g - 69. Let x be y(4). Suppose -3*b = 10*w - x*w - 39, 3*w = 2*b - 16. Calculate the remainder when 35 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85*i + 7*i + 46*i)*(-i + i + i).\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 + 10*d + 42)*((-3 + 5 - 1)*(4 - 1 - 2) + 0 + 3 + 0 - 6 - 1 + 4).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 16, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30 and 129.\nAnswer: 3870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 9:29 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9660 + -9711. Let p be (-21)\/((-6)\/(-28) - 0). Let f = r - p. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (29\/(-10))\/(1\/(-2)). Suppose -6*d - 383 = -419. Let g = d - v. Calculate the common denominator of g and 23\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 - 5*o + 4. What is the remainder when c(4) is divided by 3*-1*9*7\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 913 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-3\/14)*b*b*b*b)\/b**23*b**3*b**(-12\/5)*b assuming b is positive.\nAnswer: b**(-1163\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050754 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 4*x + 6 = 9*x, -4*m + 2*x - 6 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 17*z**2. Let s(j) = 7*j**2 + 8*j - 4. Let t(c) = 285*c**2 + 330*c - 165. Let r(m) = -165*s(m) + 4*t(m). What is n(r(u))?\nAnswer: 3825*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*i + 1. Let x be i + -1 - (1 - 2). Let v(q) = -q + 1. Let f be v(-6). Solve 0 = x*z - f - 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -619*s + 617*s = -2*g - 14, s - 18 = 2*g for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1063.6 - 1065. Which is the second biggest value? (a) y (b) 0.3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -87\/22 at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**4\/2 - 274*t**3\/3 + 890*t + 2562. Find the first derivative of z(x) wrt x.\nAnswer: 6*x**2 - 548*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 207*i - 104*i - 99*i. Calculate the highest common divisor of i and 1353.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = 7*s + 2*s. Suppose 5*t - 50 = s. Let w be 3\/(3\/(-8))*-3. Calculate the highest common divisor of w and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - ((5 - -1) + -5)) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 126.08\nAnswer: 378.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -20*u**2 + 21*u - 12. Let d(a) = -5*a**2 + 5*a - 3. Determine 9*d(f) - 2*g(f).\nAnswer: -5*f**2 + 3*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -23\/1218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -368, 2\/19, 7\/4?\nAnswer: -368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -70, -91, -120, -157, -202?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 5)*(8 - 6*r - 8) + ((2 + 1 - 2)*(2*r - 3 + 3) + 2*r - 3*r + 0*r)*(-3 + 5 - 3).\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = p. Suppose 0 = -p*j + 5 + 3. Let d = -70 + 86. Calculate the highest common divisor of d and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 263825 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(7*(-7)\/147)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-191 - 65*j**4 + 191) + 10*j**4 - 2*j**4 + 2*j**4.\nAnswer: -120*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1856.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -o - 4. Suppose -m = -h + o, -5*h + 2*h + 14 = -m. Suppose -2*g + m = -g. Calculate the smallest common multiple of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6299 divided by 2744\nAnswer: 6299\/2744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 447165 and 27360?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/1*6\/(-2). Let q(v) = -2*v**2 + 4*v + 47. Suppose -4*r - 3*h = 28, -4*h + 7 = 2*r + 31. Let d be q(r). Sort 4, y, d.\nAnswer: y, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 0*m**2 + 3*m + 5*m**3 - 3*m**2 - 6*m**3 + 0*m. Let x(l) = l**3 + 4*l**2 - 4*l. Suppose 0 = 2*b - u - 3*u + 22, 5*u - 11 = -3*b. Give b*x(v) - 4*f(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand d - d - d**3 + (0 + 0 - 2*d)*(-8 + 8 - 2*d**2 + (26*d + 2*d - 9*d)*(0 + 0 + 2*d)).\nAnswer: -73*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*c = -12. Suppose 4 = j - 2*j + 4*b, -2*j - 4 = -c*b. Suppose k = 2*l - j*k - 11400004, 5*l + 2*k = 28499992. Round l to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721764 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6512.348*0.3.\nAnswer: 1953.7044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 108 (base 14) to base 8\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-53)*3\/4. Let u = h + -59\/106. Sort 0, u, -1 in decreasing order.\nAnswer: 0, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + 3)\/(60\/(-20) + 22\/8). Suppose -4*l + 4*l**3 - 10*l**2 + 2\/5*l**d + 48\/5 = 0. What is l?\nAnswer: -12, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/12)\/(4\/(-64)*2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1062736 divided by 1016.\nAnswer: -1046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 11. Suppose 4*i = -i - 125. Let m = 28 + i. Solve -m*d - 5*q = -1, 2*d + 2*q - 2 = -j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19143923 to the nearest integer?\nAnswer: 4375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbn when three letters picked without replacement from nbbbbnb.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*v - 19*v + 39*v - 35*v**2.\nAnswer: -35*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -67 * 0.07033\nAnswer: -4.71211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 3 - (-54 - -64).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3638\/13 + 280. Let v = -7 + 8. Put 1\/6, v, d in descending order.\nAnswer: v, 1\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 16386181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*((b\/(((b*b*b*b**(-3))\/b)\/b*b))\/b*b)\/b))\/(((b*b**(-1)*b)\/b)\/b*b)*b**(-1)\/b**(-3\/5))**42)**1 assuming b is positive.\nAnswer: b**(-294\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 711578*a**3*o**3*y**3 + a**3*o*y**2 - a**2*o + o**3*y**3 + 392221*o*y**3 wrt a?\nAnswer: 4269468*o**3*y**3 + 6*o*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (-2 + sqrt(5))*1)*-5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 9*h**3 - 77*h**2 - 5*h - 284. Determine j(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4763.3 minus 0.1?\nAnswer: -4763.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 45 = -13. Suppose -s + 800 = 3*s + d*g, -2*s = -4*g - 406. List the prime factors of s.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + sqrt(425) + 0 + sqrt(425) + 2)**2.\nAnswer: 60*sqrt(17) + 3829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c - 70*c**3 - 32*c**3 + 15*c + 122*c**3 + 10*c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2. Suppose -n + 0*n = 0. Let b(l) = -l + 3*l + n*l. Determine f(b(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of -4320*(16 - 1392\/72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -22. Let c = -2339\/4 + 596. What is the common denominator of (11\/v - 1)*-3 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17326299, -17326301, -17326303, -17326305?\nAnswer: -17326307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 82930817441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25808 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2130 + 131000?\nAnswer: 133130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50\/15 + 4\/6 - -20 and 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - 0.2. Let z = -0.3 - 0.2. Let u = -3.5 + z. What is the second biggest value in u, 0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.716867us in nanoseconds?\nAnswer: 9716.867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 3*x - 3*x)*(0*x**4 + 9*x**4 - 7*x**4 + (-9*x**3 + 4*x**2 - 4*x**2)*(0*x - 5*x + 4*x) + (-4*x**3 + 5*x**3 + x**3)*(3*x - 3*x - x)).\nAnswer: -18*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 485 - 969 + 484 + 937*g to the form c*g + a and give c.\nAnswer: 937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78589*l**2\/3 - 104784*l - 16\/3 = 0.\nAnswer: -4\/78589, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59401 * 3.\nAnswer: 178203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -59*t**2 + 178*t + 1068. What is s(-6)?\nAnswer: -2124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 27*y = -28*y + 3, 0 = 2*q - 5*y + 22 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - s - s)*(-95*s - 180 + 357 - 372*s - 180) to w*s + i + n*s**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-3 - -24) - -3 - 29.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35695830 and 1804?\nAnswer: 785308260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 1\/70*s**7 - 6 + 1\/5*s**6 + 5*s**2 + 3*s**4 + 0*s + 9\/2*s**3 + 11\/10*s**5. Factor r(c).\nAnswer: 3*(c + 1)**2*(c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 + -34. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**2)\/(y*y**(3\/5)))**(7\/4) assuming y is positive.\nAnswer: y**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157730 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43, 77, 111, 145, 179, 213?\n\"Answer: 34*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10)*400\/(-48)*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6202 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 2*n + 2*n - 94, 34 = 2*j - 2*n. Let v(x) = -2*x + 4. Let y be v(5). What is the least common multiple of j and y\/((-10)\/(-16) + -1)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjxqxqqxjxsxxqxjqxx. What is prob of picking 1 q and 2 x?\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3208*q + 2952*q = -5755*q - 798305 for q.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/6, 1, -46, 708, -4\/11 in increasing order.\nAnswer: -46, -4\/11, 5\/6, 1, 708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 2*z + 2 = 2*h, -5*h - z + 155 - 184 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2733, 2714, 2695, 2676?\nAnswer: 2657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 23. Let g = f + -23. Let y be g + -3 + (-2 - -5). Solve 3*q - 4*q = -y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.01 (b) -0.026 (c) -5 (d) 2 (e) -22\/447\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + -1*((sqrt(72) - (sqrt(72) - -3*-2*sqrt(72))**2) + 3*(sqrt(72) + -1)**2 - (0 + 1*sqrt(72) - (-1*sqrt(72) + 2))**2).\nAnswer: -18*sqrt(2) + 1877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - m**2 + 19*m + 120. What is the thousands digit of n(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 2*a**2 - 3. Let w be z(3). Let m be 1 - (-2)\/(w\/7). What is the smallest value in 4\/3, -4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j + 50 = 0. Let q be ((-7)\/6)\/((-1)\/9). Let v = j - q. Are -2 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 - -235\/4. Which is the second biggest value? (a) m (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/3)*n**6)**31*(n\/(n**0\/n))**(-4\/3)\/(n*n*n*n**(1\/3))**(-2\/37) assuming n is positive.\nAnswer: n**(24958\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 24*x**2 - 16*x - 148. Calculate j(23).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42614.\nAnswer: 2, 11, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*(0*j + 0*j + 2*j)*(5 + 36 - 11)*(1 - 2 + 2).\nAnswer: -60*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215674310.\nAnswer: 2, 5, 21567431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 672 - 332. Suppose -y = x - 5*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -0.5 (b) -8\/15 (c) 2\/5 (d) 0.3 (e) 4 (f) 0.083\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 31*g - 183. Let a be q(-8). What is the closest to a in 0.5, 2, 6.1, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3 = -5. Let u = 13 + h. What is the remainder when 35 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.4 rounded to zero dps?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -4*r - 25, 0 = -4*u + 4*r + 148 - 108 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9835 is divided by 365?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 - 5*w**2 + 4*w**2 - 3*w**2 - w**2 + 8*w**2 + (-w**2 + 2*w**2 + 0*w**2)*(2 + 0 + 0).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 3*j + 44. Let l be y(0). Suppose -28 = -2*r + 2*b, -4*b - l = -4*r - 3*b. Let c(h) = -h + 12. Let d be c(r). Solve 0 = d*s + 5 + 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 4320.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12571281*q + 16*q**3 - 12571281*q.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1219 - -1270) + (-2 - 32)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 116.52.\nAnswer: -466.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -18, 8, -7, -5 in ascending order.\nAnswer: -18, -7, -5, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 1375 and -982 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21a15 - -27a1?\nAnswer: 24706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 0) + -65 + 16 + 41?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 33 = 14*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29275*r = 29237*r + 2546 for r.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37409551.\nAnswer: 613, 61027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1205 - 1199. Let i = 10 + -6. Find the second derivative of -d*c - 3*c**4 + 15*c**i + c - 4*c wrt c.\nAnswer: 144*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(10\/9)\/((((x*x**(12\/13))\/x)\/x)\/x)*(x*x\/(x\/x**(-3\/7))*x)**(-19) assuming x is positive.\nAnswer: x**(-22661\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, x: 4, q: 3}. Give prob of picking 2 x.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 0.5, -0.5, -1\/6 in ascending order.\nAnswer: -0.5, -1\/6, -0.08, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 13*s - 3. Let o be (-4)\/(-12)*6 + 1. Let m(j) = -40*j + 10. Let u(p) = o*m(p) + 10*h(p). Let v(b) = -2*b**2. What is u(v(g))?\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*d - 3*d + 18, -5*d + 5*n = 0. Let c = -7 + 10. Let f(g) = 2*g**c + 2 - 3*g**2 + g - 3 - g**3. What is f(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggxg when four letters picked without replacement from {x: 2, g: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398620973 is divided by 11838.\nAnswer: 11837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + 1772?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -62 divided by 224\nAnswer: -31\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 14\/15 (b) -4 (c) 398 (d) 3 (e) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7, 10, 5, -14, -53, -118, -215, -350?\n\"Answer: -s**3 + 2*s**2 + 4*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*s + 5*s - 10*s)*(0*s - s + 0*s + s**2) to c*s + m + d*s**3 + i*s**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**3 + v**2 - v + 6. Let q be b(-5). Suppose q*x = 540*x - 12. Let w be 2\/(-2) + (-1 - -2). Solve w*a + 9 = -x*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, -0.06, -3\/4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6561093 divided by -6561093.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 500 and 400.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 2*m**2 + 2\/3*m**3 + 10 - 5*m. Let h = -4 - 1. Determine n(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177127 is divided by 59036?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1493838 millennia to decades.\nAnswer: 14.93838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1700) + (sqrt(1700) + -2 - sqrt(1700))))**2.\nAnswer: -160*sqrt(17) + 6816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 8*f - 3. Let v be p(-7). Suppose -3*q - 4 = -v*k, -1 = -k + q - 4*q. Suppose -11 - k = 4*b. Put b, 1, -1 in increasing order.\nAnswer: b, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21645 divided by -195?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19903187?\nAnswer: 19903187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, k: 1}. Give prob of picking 1 k and 1 y.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 26792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -g - 655. Let q = -1894 - -2853. Suppose g - q = -6*f. Calculate the remainder when f is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-33)\/(-44) + 1*-1. Which is the biggest value? (a) 2\/11 (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 71322825 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y - 11. Let t(w) = 3*w - 7. Suppose -22 = -2*m - 8. Let c(g) = -m*g**2 - 5 + 3*g - 3*g**2 - g**3 + 11*g**2. Let v be c(0). What is v*l(o) + 8*t(o)?\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -34\/3 (b) -5 (c) 708 (d) 40\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -1)*(-6)\/(-3). Calculate the greatest common divisor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114128.\nAnswer: 2, 7, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 146985373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102389693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.15, -0.5, 11.39272 in descending order.\nAnswer: 11.39272, 0.15, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2, -2*r = -5*k + 3*r + 25. Solve 4 = -4*h + k*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 16 - 21 = 0. Suppose 0 = -3*k + 4*k - 2. Suppose 4*u + 2*r = r + 40, 2*u + k*r = 20. Calculate the remainder when w is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-24)\/16)\/((-3)\/44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(2299)) + 1 + 1 - -3*(sqrt(2299) + -1 + sqrt(2299))*1*-6)**2.\nAnswer: -9240*sqrt(19) + 2069296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 5*c = -320 + 490, -38 = -4*z + 2*c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1808987429?\nAnswer: 457, 3958397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183547*b = 183527*b + 40 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t = -19 - 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (32 - (3 - (-2 - -19)))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 13*c**2 - 11*c + 13. Let r be z(-12). Let o(w) be the first derivative of 3*w**4 - w**3\/3 + w**2\/2 + 7. What is o(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -148.3 - -146.3. What is the closest to 8 in p, 4\/7, -4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*1*-4)\/(5*(sqrt(192) - sqrt(12))))\/((1*sqrt(27) + (-1*(sqrt(3) + sqrt(3)*1) - sqrt(3) - sqrt(3)))*3).\nAnswer: 4*sqrt(11)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -56 (b) 1\/3 (c) 136543\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(-2*sqrt(10) - sqrt(10)) - sqrt(5))**2 - sqrt(5) - (-3 + sqrt(5) + -2).\nAnswer: -2*sqrt(5) + 125\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 15592914688970?\nAnswer: 15592914688965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**3\/(l**(-3\/8)\/l)*(l**(-1\/2)\/l)**(-3\/16) assuming l is positive.\nAnswer: l**(149\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 1641*z**7\/7 - 268*z**3\/3 - z**2 - 433. Find the third derivative of a(g) wrt g.\nAnswer: 196920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*m + 294. Suppose m = 2*h - 15. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191494.\nAnswer: 2, 95747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-3 - 0) - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/5)*(c**(2\/11)\/c)\/c*c*c*c*c**6*c**(3\/4))**(16\/3) assuming c is positive.\nAnswer: c**(7684\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2739 - 0.273904951. Round a to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1053 - -1736. Suppose -3*b - c + y + 484 = 0, 1945 = 5*b + c. List the prime factors of b.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-18)\/(-42) + (-667)\/(-126) and 7\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(-2\/3)*i)\/i*i)**25\/(i*i\/i**(2\/5)*i*i)**(-26))**(12\/5))**(1\/10) assuming i is positive.\nAnswer: i**(3058\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, y: 2, w: 2}. Give prob of picking 2 a.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1461, 2887, 4313, 5739?\n\"Answer: 1426*m + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4431*p**3 - p**2 + p**2 + 6939*p**3.\nAnswer: 2508*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 h, and 1 q when three letters picked without replacement from yhqyyhcyyvycucv.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -408 + 24981.\nAnswer: 24573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2170 = 96*c - 154 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 r when four letters picked without replacement from {z: 11, r: 9}.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d + 26*d - 655 = 0. Let q = d + 184. Calculate the remainder when q is divided by (28\/(-10) + 0)*-5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -91.22 and 119477598?\nAnswer: 119477689.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 + 285\/4. What is the second biggest value in 1, -0.04, -1\/12, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309753723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 192\/(-288)*1*(-1)\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13007, 13003, 12997, 12989, 12979?\nAnswer: 12967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329\/94*(24\/(-3) + 814\/77).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2214526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2*(2 + (-152)\/(16\/(-4)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*n**2*w*y - 2*n**2*w - 452*n*w - 6*n + 672*w*y**2 - w*y wrt y?\nAnswer: -2*n**2*w + 1344*w*y - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 1\/(-1) + 1. Let l(p) = -7*p + 1. Calculate l(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115502?\nAnswer: 2, 57751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h - 28650 = -322567. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -159996*c + 108. Let o be b(-27). Suppose o = 5*p - 7*p. What is p rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, j: 3, d: 8}. What is prob of picking 3 f and 1 j?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -444 + -114?\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19661092?\nAnswer: 2, 11, 53, 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 103148298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 761*g**3 - 244*g**3 + 910*g**3.\nAnswer: 1427*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 7*i**2 + 38*i - 11. Suppose 5*k = 153 + 27. Calculate the remainder when k is divided by t(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(13) + 1 + 1 + sqrt(13) - sqrt(39)\/sqrt(3)*2) + 0)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 134 - 98. Let t = 35.99948 - o. What is t rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47 or 0.382?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000058312 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 771*u**2 - 1497*u**2 + 642*u**2 as p + o*u + t*u**2 and give t.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -8*i - 1. Let n(j) = 3*j. Let a(x) = 3*c(x) + 6*n(x). Give a(6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -226470*h*n*y**2 - 4*h*n*y + 2*h*n - 630*h + 41*n*y**2 - 10235*n + 3 wrt y.\nAnswer: -452940*h*n*y - 4*h*n + 82*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*q + 138, -2*i - 4*q + 24 + 34 = 0. Calculate the remainder when i is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*y + 49*y - 221*y = 44*y - 21008 for y.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 11*t**3\/6 + 9*t**2 - 16*t. Find the first derivative of j(a) wrt a.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minus 169363?\nAnswer: -169338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 480, 477, 474, 471, 468, 465?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 3*l**2 + 4*l - 2. Let d(k) = -7*k - 25. Let x be d(-12). Let t = x - 13. Let z be t\/69 - 20\/(-6). Calculate p(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -304607990 rounded to the nearest one hundred thousand?\nAnswer: -304600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7.721082 decades?\nAnswer: 926.52984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 338361374, 338361373, 338361372, 338361371?\nAnswer: 338361370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 72.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 321978.5nm in millimeters?\nAnswer: 0.3219785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 3*o**2 - 5. Let m be c(4). Let i = m + 10. Let r(d) = 16*d**3 + d**2 - 11*d - 21. Let s(w) = -3*w**3 + 2*w + 4. Calculate i*s(u) - 2*r(u).\nAnswer: u**3 - 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l + 2*l - 3*l)*(-108 + 108 - 21*l) + 0*l**2 - l**2 - 9*l**2 as j + d*l + i*l**2 and give i.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*g + 1211 = -55*g. List the prime factors of -1 + g + (3 - (-4 + 5)).\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t = -6*t - 45 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*b = 146 - 1778. Sort 2, 5, 4, b, 3.\nAnswer: b, 2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 16254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.04 (b) 2\/9 (c) -3 (d) -0.621\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5\/6*s**3 - 4\/3*s**2 - 1\/6*s**4 + 0 + 2\/3*s = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4 = x - 1, -p = -5*x - 47. Let k(w) = -2*w - 17. Let n be k(x). Sort n, -4, -2, 0 in descending order.\nAnswer: n, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279659 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 243918078 to the power of 1\/3, to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -61 in 21\/2, -6, 134, 5, -1, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11949610.986901306 + 11949611. Let w = 0.0131 - p. Round w to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(171\/(-38) + (-3)\/(-1)). Suppose 19 = -p*w + 35. Which is smaller: w or 6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137149362 divided by 7619409?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 2:20 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/12000 and 127\/17200.\nAnswer: 516000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 28*u - 29*u = -2*q - 249, 0 = -u - 3 for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 7*p - 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04246 != -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 117886\/49425 - 179\/75. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -30, 2, 5?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 746314 - 349395. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -5. What is the smallest common multiple of g and (273\/(-63) - -4)*-1416?\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*k = -45*k + 1350569 - 401819. Is k a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*w - 3 = 0, -4*p - 4*w = -24. Let x = -20 - -48. Is 5 a factor of 115\/p - 12\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486*k**2 + 110*k**3 + 486*k**2.\nAnswer: 110*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 208019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38261 or -38302?\nAnswer: -38261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1057*o**2 + 1247 - 772 - 475.\nAnswer: -1057*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 634.6539 decades to centuries.\nAnswer: 63.46539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 8. Let w = 5 + -3. Suppose -2*f = 3*l, w*l + 0 = -f + 1. Solve n = 2*t - l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -9*m**5\/10 - 5*m**4\/3 + 5*m. What is the third derivative of l(n) wrt n?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/2549 and 9\/45884549?\nAnswer: 45884549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 20 = -2*p + 6*p, 0 = -3*n + 12. Let j be 54\/p*(-10)\/12. Solve t = 2 - j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -544519 by -491.\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -136 + 134 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 7) to base 4\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 17 = 3*l - 0*g, 4*g = 2*l + 28. Let v = l - -9. Suppose 4*n = -i + 3*i + 12, 5*n - v*i - 20 = 0. Solve 0 = -z - 1, -5*k + 0*z - n*z + 18 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 16*t + 19. Let l be h(-13). Is (-32)\/l*(-555)\/(-6) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-3))\/((-3)\/45). What is the tens digit of 5\/((-75)\/66)*l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 less than -10.45729333?\nAnswer: -10.50729333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-48)\/(-360)*(1 - 0 - -2). What is the closest to -1 in -2, h, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in decades?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*o + 9 = 0, -b - 10 = -3*b + 4*o. Calculate the remainder when 3 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**3\/3 - 5*d**2\/2 - 50*d. Let m(j) = -5*j - 14. Calculate 11*f(h) - 4*m(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.51775 - 0.08225. Sort 4, 3, -4, -5\/3, b in decreasing order.\nAnswer: 4, 3, b, -5\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 + -67. Suppose 0 = -2*p - 5*w + 18, -k*p + 6 = -2*w - 3*w. Let u be p + 2*1\/(-2). Solve 0 = -u*n + n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**3 - 8*u**2 - 38*u - 129. Is 141 a factor of i(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79285?\nAnswer: 5, 101, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/5, -40, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (16 - -1 - (27 + -44 - -8))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -232*u**5 + 540*u**5 + 26*u**5 + (-1 - 2*u + 1)*(2*u - 2*u + u**4).\nAnswer: 332*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3355436066?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 8:52 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 634, -1 in decreasing order.\nAnswer: 634, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -8 + -7 + 5 + 6 + -18?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 9606*q**4 - 2749*q**2 - 12. Let p(g) = 9607*g**4 - 2755*g**2 - 14. Let b(d) = 7*m(d) - 6*p(d). Find the third derivative of b(n) wrt n.\nAnswer: 230400*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710 less than -3?\nAnswer: -1713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 3*z. Suppose -2*n + 22 = 10. Let s(u) = -8*u**3 - 3*u + n*u**3 + 8*u. Determine 5*b(g) - 3*s(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 14*r - 39*r + 5*r + 7*r + 4*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20203 (base 4) to base 6\nAnswer: 2311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/51)*(i*i**3)\/i*i\/((i*i*i**(2\/17)\/i)\/i)*i\/(i\/(i\/i**13*i)) assuming i is positive.\nAnswer: i**(-361\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -98562, 0.2, -2 in decreasing order.\nAnswer: 0.2, -2, -3, -98562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1366362 * -0.8\nAnswer: -1093089.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 1. Let m be b(3). Suppose m*c - 6 = c. Suppose 5*t - 64994 = -2*g, c*g = -0 - 6. Round t to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 16 = 6*g. Let m = 26 - 23. Solve u + m = g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*-1*7\/14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 8*h**2 - 19*h + 9. Suppose 37*s + 142*s - 1571 - 219 = 0. What is v(s)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 6 + 30. Let c = 14 + p. Suppose 0 = -i + c + 19. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5251993?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -6*s - 110. Let j = s + -20. Does 13 divide (-205)\/(-5) - (j + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 1, 103 in descending order.\nAnswer: 103, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(20)\/sqrt(4)*-2.\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*j = -43*j - 2495 + 494 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26467, -51264, -76061, -100858?\n\"Answer: -24797*u - 1670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j + 9. Let q(h) = -15*h - 39. Let p be q(-3). Let k(m) = m - 3. Let v(t) = p*k(t) + 2*r(t). Let i(c) = -c + 6. What is i(v(a))?\nAnswer: 4*a + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from zxiziii.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(17) + 1*sqrt(17) + sqrt(17))**2 + (sqrt(153) + -1*sqrt(153))\/sqrt(9) + (sqrt(17) + 0)**2 + -1 + (sqrt(272) + -3*sqrt(272))**2.\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 - -58 - 76?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 8464*g**5\/7 + 87216*g**4 + 9728484*g**3\/7 - 47626912*g**2\/7 - 6335664*g\/7 - 207936\/7 = 0.\nAnswer: -38, -3\/46, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -1.7. Let y = -0.3 - v. Let t = 91\/6 - 15. Which is the closest to 1? (a) 3 (b) t (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184.142 rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from enexcccecnaereaxncca?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -117280, -117282, -117284, -117286, -117288?\n\"Answer: -2*y - 117278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59912581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 2646882*z - 2646885.\nAnswer: 3*(z - 882295)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10256 is divided by 76.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18883.986776 - 6165.293114. Let a = h - -25049. Let w = a - -0.28. Round w to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c - 8. Let v be (-2)\/8 + 105\/c. Is (-2)\/13 - (-446)\/v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/((-792)\/(-72)))\/((-2)\/(-64)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -118218*l**3 + 1113*l**2 + 114550867*l.\nAnswer: -709308*l + 2226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (-34 - 6 - -27)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 90 = -4*u, b - 19 = u - 4. Let h = -17 - u. Suppose h*a - 3112 - 1729 = -4*d, -3*a = d - 1208. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**6\/15 - 5*k**3\/6 - 3*k - 4. Let x(s) be the first derivative of c(s). What is the second derivative of x(p) wrt p?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 - 1) - 31 - (943 + -945)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 4*u - 37 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 90\/(-18) - (1 + -12). Is ((-9)\/2)\/(-9) - (-74619)\/f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 280 = 6*d. Let s = 14 + 11. Suppose y - s = -5. What is the remainder when d is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 + 0.7. Let l be 1 + -3 + 5 + -84. Let w = 165\/2 + l. Put w, a, -2 in descending order.\nAnswer: w, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c + 1. Does 5 divide (10\/8)\/(c\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2\/7 - 38880*u\/7 + 194050 = 0?\nAnswer: 35, 19405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1638894.45505621 + -3?\nAnswer: 1638891.45505621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5cb6d2 (base 14) to base 5\nAnswer: 1303303111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t. Let u(a) = -4439*a + 287. What is b(u(z))?\nAnswer: 4439*z - 287","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19578750?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 14\/11 (c) -1 (d) 8 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41977 (base 11) to base 16.\nAnswer: -ee8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23863, 27315, 30769, 34225, 37683, 41143, 44605?\nAnswer: 48069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 501 + -493. What is the greatest common factor of 248 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.058661363 to 4 decimal places.\nAnswer: 0.0587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2000301 + 2?\nAnswer: -2000233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.241*-7893.\nAnswer: 1902.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -21, -28, -35, -42?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a4 (base 12) in base 10?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5))**(-6\/23) assuming w is positive.\nAnswer: w**(-6\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 14) in base 4?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 0*c = -2*c - 7, j - 3*c = -1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/6 - 310\/60. Let w be (o + 2)*(-70)\/3. What is the highest common factor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 208876 divided by -158\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11440, -22887, -34334, -45781, -57228?\n\"Answer: -11447*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 54 - 14. Let x = 61 - 1. What is the highest common divisor of x and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, y: 9}. What is prob of picking 2 e and 1 y?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -0 + 12. Let y(q) = 3*q + 4. Let x be y(h). Suppose -4*t + 3*t + x = 0. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 1.3, -1\/2, 0.7 in decreasing order.\nAnswer: 1.3, 0.7, 0, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/10)\/((31\/310)\/(12\/456)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -774*c + 2865*c - 325*c as v + l*c and give l.\nAnswer: 1766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -2*n**6\/45 + n**5\/15 + n**4\/9 - 2*n**3\/9 - 34*n. Factor g(x).\nAnswer: -4*x*(x - 1)**2*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17924 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 0, 2*w - 5*d - 299503 = -51503. What is w rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*19.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184493 is divided by 549.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 3)*(-3*r**2 - 516 + r**2 + 502) + (1 + 2*r - 1)*(-r - 3*r + 2*r) - 4*r**2 + 2*r**2 + r**2 to the form v + l*r**2 + t*r and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24877 is divided by 12137?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1372 and 26673101?\nAnswer: 746846828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -9 + (30 - 18) + 0 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 2\/5 (c) 1.7 (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 times 620.7?\nAnswer: -148.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 2*z + z + 2*f, -13*z + 5*z = -7*z - 8*f + 40 - 69 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x - 2*x)*(2*x**2 + 0*x**2 + x**2) - x**3 - 3*x**3 + 3*x**3 + x**2 - x**3 - x**2 + (-2*x - 5 + 5)*(-x**2 + 2*x**2 - 3*x**2).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*r - 49*r - 90. Suppose -r*o + 2618 = -23*o. Is 22 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88028, -176075, -264088, -352061, -439988?\nAnswer: -527863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 113?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40923203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.062 - 0.424. Let j = -4.638 + v. What is the second biggest value in 9, 0.5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**5\/60 - g**4\/4 + g**3\/6 + 21*g**2 - g. Let s = -5 + 9. Suppose 0 = -3*q + 12, -40 = s*k - 2*q - q. What is f(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 62564924 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11569504 to the nearest integer?\nAnswer: 3401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.33 + 2.23. Suppose u + 2*x = 6, -1 = -3*u + 4*x - 3. Let k = u - -1. What is the biggest value in m, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeoekeeook. What is prob of picking 2 e?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1 minus -803?\nAnswer: 797.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**2\/4 - 17*n\/2 + 66 = 0.\nAnswer: 12, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -113, -345, -695, -1163, -1749?\n\"Answer: -59*x**2 - 55*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 973936970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7759414 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42893 and 24308?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -12.7. Let d be 564\/(-470)*(-2)\/12. Put a, 0.07, d, 2\/7 in increasing order.\nAnswer: 0.07, d, 2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (35 + -3 + (-383 - -411))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x + 8. Let u be p(11). Let j be 5\/4*6\/u. What is the third biggest value in j, -4, -3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76807.\nAnswer: 89, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1376880?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1029485256 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 44*q + 16*q - 4 - 17*q.\nAnswer: 43*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 + 0.79994. Let a = 0 + i. Round a to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -7*x**6 - 2*x**2 + 6*x. Let n(g) = g**6 + g**2 + g. Let t(q) = -a(q) + 6*n(q). What is the third derivative of t(w) wrt w?\nAnswer: 1560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 - 8)*(9*a + 2 - 11 + 14).\nAnswer: -72*a - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1479 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.20940592 * 18.\nAnswer: -3.76930656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 244*b - 481. Give i(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2691 divide 859120587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 12*s - 3. Let m(d) = -17*d - 15*d - 11*d + 42*d. What is m(k(p))?\nAnswer: -12*p + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*y**3 + 2*y**2 - 8*y**2 + 2*y**2 + 3*y**3 + 446 + 2*y**2 wrt y?\nAnswer: -6*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**9\/504 + j**6\/72 + 7*j**3\/6 - 10*j**2. Let c(l) be the first derivative of y(l). Find the third derivative of c(w) wrt w.\nAnswer: 360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20 + 5d?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53766773 + 53766773 - 3*z**2 - z)*(-4*z + 5*z - 3*z)*(z**2 + 4*z**2 - 3*z**2).\nAnswer: 12*z**5 + 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7493 times -330\nAnswer: -2472690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 124, 294, 576, 970, 1476?\n\"Answer: 56*u**2 + 2*u + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*z**2 + 34*z**2 - 13*z**2 + 2*z - 107*z**2 as q + a*z**2 + v*z and give a.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4783 < -4782?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8620 by -75698.\nAnswer: -4310\/37849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1228036 (base 10) in base 15?\nAnswer: -193ce1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*d - j - 155, -4*j = 0. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -8075.147894?\nAnswer: -8075.147894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -583, -1020, -1457, -1894, -2331, -2768?\nAnswer: -3205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 4*d + 4. Let i be u(-4). Suppose 5*r = i*h - 37, -r - 3 = h - 1. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5 + 7. Suppose -1 = -w - 2*f, 2*w - q*f - 34 = -4. Suppose w = 2*o - 9. What is the greatest common factor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6875 divided by -25?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/1*(156\/936)\/((-2)\/4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*h = 36*h - 9686 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + (-4)\/(-6))*6. Let n = q + -1. Let j be 10*(n\/(-2) + 2). What is the greatest common factor of 25 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2133865740?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(171))**2 + sqrt(684)*3 - 2*sqrt(57)\/(sqrt(60)\/sqrt(5)).\nAnswer: -7*sqrt(19) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 415549?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4686)\/(-9) - 2*(-4)\/24. Let l = -226 + n. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 465*z**2 - 258 wrt z.\nAnswer: 930*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18357 rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-13 - -5 - -7 - -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 13. Let r(u) = u**2 + 8*u + 7. Let o be r(-5). Let t = 24 + o. Calculate the greatest common factor of l and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1.56, 2\/39, -3?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7295452 decades in centuries?\nAnswer: 0.07295452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + sqrt(405)*-3 + 2.\nAnswer: -27*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/2 - 65392*l**2 - 130782*l.\nAnswer: -l*(l + 2)*(l + 130782)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -235 + 337. Let s = -63 + t. Let i = s + -33. Put 2, 4\/7, i in decreasing order.\nAnswer: i, 2, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*k + 85*k = 10. Suppose 4*q = -k*c + 20, -2*q = 5*c - 11 + 1. Find the second derivative of j - 20*j**q - 36*j - 8*j - 24*j**5 wrt j.\nAnswer: -880*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.347297007 and 0.01.\nAnswer: -1.337297007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 699415 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*y + 7*y + 135 + 75 = 0. Solve 0 = -27*o - 101 - y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2846.28912 rounded to the nearest 10?\nAnswer: -2850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 494, 820, 1190, 1604, 2062, 2564?\nAnswer: 3110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -3)\/(1\/4). Let f = 4 + t. Suppose 2*a + f*a + 0*a + 9*a**2 + 5*a**4 + 12*a**3 = 0. Calculate a.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a kilometer in meters?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6*p + 7 = v, 4*p - 12 = 0. What is the greatest common factor of v and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b - 2*b - 8*b + b + 0*b - 2*b + (-2*b + 4*b - 4*b)*(0 + 2 + 0) + b - 4*b + 4*b as y + p*b and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -20889.4 and 49748?\nAnswer: 70637.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 21 = -21. Suppose x + 1 = -g, -k*x + 3*x = 8. Which is smaller: g or -7.5?\nAnswer: -7.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 619 and 9.\nAnswer: 5571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1535 = -k, 2*q + 126*k - 770 = 128*k. What is the greatest common factor of q and 1020?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -1833?\nAnswer: 1834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -15*x**2 + 18 - 17*x**2 + 3*x + 33*x**2. What is the units digit of t(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v + 26. Let b be c(-4). Let z be (7\/(-42))\/(b\/(-6))*-16. Solve -g = -4*g + 2*n - z, 0 = -2*g + 2*n - 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 19*r = -148. What are the prime factors of r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t - 20*t - 50 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*h**3*p*v**2 + 65*h**3*p*v - 91*h**3*v - 2*h - 2*v**2 wrt p.\nAnswer: 4*h**3*v**2 + 65*h**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = -2*o + 5*i - 8, 4*o - 24 = 4*i. Let u(n) = 1 + 11 + 3*n - 120*n**2 - o*n + 121*n**2 + 0. Give u(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35814 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 12, -71, -228, -483?\nAnswer: -860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12103 - -1212?\nAnswer: -10231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7024 = 2*a - 7098, 2*a - 49 = 5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5131 + 5157. Calculate the highest common factor of 1157 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/6767790 and -109\/564.\nAnswer: 636172260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30095, -55818, -81541, -107264, -132987, -158710?\nAnswer: -184433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 7:59 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 156.5 - 155.8. Let f = -1.3 + 0.8. Sort -5, -2, q, f in descending order.\nAnswer: q, f, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16815683, -33631356, -50447029, -67262702, -84078375?\nAnswer: -100894048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -29*m - 34. Let g(x) = -30*x - 35. Let k(o) = -5*g(o) + 6*w(o). Is k(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -28*k + 5. Is t(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6228 and 36?\nAnswer: 6228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -614983 (c) -1\/2 (d) 0 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10151620289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -5*k**3 + 46240*k**2 - 108189840*k + 5914500480 = 0?\nAnswer: 56, 4596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 721 and 103?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - j**2 - 3*j + 25. Determine x(-6).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k**2 - 141*k - 31. List the prime factors of j(30).\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**4 + 7197*y**3 + 50502*y**2 + 57792*y - 115488 = 0. What is y?\nAnswer: -4, 1, 2406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 7549*q - 143063. Give v(-19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2665.\nAnswer: 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -735939 = 163*f - 741644 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13337132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 27502, 27500, 27498, 27496, 27494, 27492?\n\"Answer: -2*h + 27504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*t + 5*m = 54*t - 107*t - 23, 4*t = m - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46995 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*h**2 - 57*h**2 + 14*h**2 + 19 + 24*h**2 as o*h**2 + u + k*h and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 8) to base 6\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lflnnlqll. What is prob of picking 1 f and 1 l?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1\/3, -4\/3, 921, -5, 1.\nAnswer: -5, -4\/3, -1\/3, 0.3, 1, 921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*h**2 + 12*h**2 - 4*h**2)*(22*h - 12*h - 7*h - 3*h + 1259*h**2) to a*h**2 + q*h + k*h**3 + v + j*h**4 and give j.\nAnswer: -10072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3, -3*h - 32 = 3*k - 275. Let f = k + -74. Put 3, f, -4 in decreasing order.\nAnswer: f, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -164 + 167. Suppose -7*a = k*a - 14150. What are the prime factors of a?\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 552*v**4 - 2491*v**3 - v**2 - 8127*v + 12054 wrt v.\nAnswer: 6624*v**2 - 14946*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2575 + 2580. Put 9, h, -2 in decreasing order.\nAnswer: 9, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**5 + 6833*m**4 + 914485*m**3 + 1505175*m**2 = 0.\nAnswer: -2135, -141, -5\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -18*t + 41. Determine l(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) 20 (b) -1.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4504762, 4504773, 4504798, 4504843, 4504914?\nAnswer: 4505017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.6 (b) -83 (c) -5 (d) -1\/2 (e) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 10*d - 2. Let j be p(-11). Calculate the highest common divisor of j and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108777527?\nAnswer: 19, 5725133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*j = 0. Let h(d) = -d**2 - 4*d + 7. Let v be h(-5). Solve j = o + v + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 28 + -36 + -22.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -11) + 0 + -2 - (-3 - -22).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y - 25*y - 26*y - 3*y - 3*y + 4*y - 2 + 2 + 2*y + 3*y + 4*y - 5*y - 2*y + 5*y - 2*y + (-2 + 1 + 2)*(y - 2*y + 2*y) - 3*y + 3*y + y - y - y + y.\nAnswer: -53*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n + p - 1277 = 12*n, 0 = -5*n - 2*p + 1279. Suppose -10*j + n = 7*j. Solve -4 = -16*f + j*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 348 - 101. Let o(w) = v*w + 244*w - 488*w. Let h(n) = 33*n**2. What is h(o(g))?\nAnswer: 297*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15\/2 in -1, 1\/8, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*b = 12, -2*b = 2*t - 6*b - 24. Factor 2*n**2 + 2 + 0 - 8*n + 2 + t.\nAnswer: 2*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -17*f**2 - f - 25. Let w(t) = 3*t**2 - t + 4. Let a(d) = h(d) + 6*w(d). Let y(q) = q**3 + 6*q**2 + 4*q - 2. Let l be y(-5). Calculate a(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 2 + 45 + -70 + 49.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 814567591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i - 8 + 24 + 2726*i**2 - 2727*i**2 + i**3 to j*i**3 + k*i**2 + l + f*i and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -99435 divided by -3\nAnswer: 33145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 12*r**2 - r + 13. Let c be i(12). Let z = c - -5. Suppose -3*v - 6 = -4*v. What is the least common multiple of v and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187, -380, -1355, -2762, -4625, -6968, -9815?\nAnswer: -13190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 3*w + 0*w - w. Let q be l(-1). Solve -5*t - 2*k = q*k + 35, -5*k - 20 = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 10 = -0. Suppose 6*v - 33 - 14 + 29 = 0. Factor 1\/2*c - 1\/4*c**m + 0 - c**v + 3\/4*c**4.\nAnswer: c*(c - 1)**2*(3*c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -50224, -50219, -50210, -50197?\n\"Answer: 2*z**2 - z - 50225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306485951 is divided by 96?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 62*c**2 - 3039*c**2 - 2*c + 442*c**2 - 3 + 5 to the form h*c + n + s*c**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 3 + 3)*(z**2 + 2*z**2 - 4*z**2 + (-2 - 1 + 4)*(2*z**2 + 2*z - 2*z) + 0 + z**2 + 0 + 6 + z**2 - 6).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**3 - 358383*i**2 - 10703018697*i + 10703377083 = 0. What is i?\nAnswer: -59731, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + p. Let t be h(1). Factor 5*k**2 + 0*k**t - k**3 + 3*k**2 + 2*k**3 + 4*k - 3*k**4.\nAnswer: -k*(k - 2)*(k + 1)*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*(1 + sqrt(7)))**2 - (sqrt(49)*2 + sqrt(49))\/sqrt(7)*2.\nAnswer: 282*sqrt(7) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**2 + 5*v + 17. Let m(y) = y**2 - y - 1. Give -c(r) - 5*m(r).\nAnswer: -r**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 98 + -105 + -3 + 1 + 0\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -18, 2, -6, 4, 14 in increasing order.\nAnswer: -19, -18, -6, 2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1.9. Let o(g) = g**3 - 5*g**2 + 7*g - 10. Let w be o(4). Let t = 1.3 - 0.3. What is the nearest to t in 3\/2, w, m?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1202 (base 4) to base 8\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 648 = 15*f. Let x(v) = v**2 + v + 4. Let h be x(0). Let s be h\/(-10) + f\/(-20). Solve -3*a - 21 = 3*y - y, -s*a = y + 28 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.13 equal to -1\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p\/p**(-2\/25))*p)**(1\/12)*p*p*p\/(p*p**(-2\/9)\/p)*p\/p**(-21) assuming p is positive.\nAnswer: p**(11347\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 10:47 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjj when three letters picked without replacement from {m: 11, w: 2, f: 1, j: 2}?\nAnswer: 11\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*u - 11. Suppose o - 246 - 823 = -u*z, 0 = -2*z + 3*o + 731. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 13.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(96\/8))\/(6\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 34 (b) 1 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -46*m - 2. Let p be j(-3). Let b be (-14)\/63 - (-3565)\/207. Calculate the greatest common divisor of b and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9807.4*-0.3.\nAnswer: 2942.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**2 - s**2 + 0*s**3 + 32*s**3 - 2*s**2.\nAnswer: 32*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -12*b + 11. Let n(k) = -25*k + 25. Let c = -29 + 32. Let y(w) = c*n(w) - 7*p(w). Let f(q) = -9*q + 1. What is -3*f(h) - 2*y(h)?\nAnswer: 9*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 21060*m**2 + 126352*m - 48 = 0.\nAnswer: -6, 2\/5265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, a: 3}. Give prob of sequence aa.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 535565\/109701 - -2\/6453. Which is bigger: q or 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -34e + -4?\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 203 + -198. Let i(r) be the third derivative of 8*r**2 + 0*r + 0 + 0*r**c + 0*r**3 + 5\/96*r**4 - 1\/96*r**6. Factor i(x).\nAnswer: -5*x*(x - 1)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**4\/6 - u. Let b(x) = -5*x + 139519*x**2 + 5*x - 139514*x**2. Determine b(z(w)).\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 9:31 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -29. Let k = 0.387 + -3.387. Which is the nearest to f? (a) k (b) -0.2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -439957964 divided by -109989491\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -10. Let n(p) = -p**3 - p**2 - 2*p + 2. Let x(f) be the second derivative of f**5\/10 + f**4\/6 + f**3\/2 - 3*f**2\/2 - 13*f. What is d*n(r) - 2*x(r)?\nAnswer: -r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 119945\/24 - 4995. What is the common denominator of b and -93\/4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**6\/160 + 11*a**5\/20 + 437*a**4\/32 - 529*a**3\/4 - 12359*a**2. Suppose l(x) = 0. What is x?\nAnswer: -23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1869, -2, 67 in decreasing order.\nAnswer: 1869, 67, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - g + 5*a - 45, 5*a = -4*g + 105. What is the common denominator of (-10)\/g + 574\/(-60) and (56\/(-81))\/(-2 - (-7)\/3)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3995 and 155006.\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -11. Let x be 3\/(g - 3\/(-2)). Let u be (-20)\/30 - 8\/(-3). Sort -4, x, u in descending order.\nAnswer: u, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 28758, 57538, 86344, 115170, 144010, 172858, 201708, 230554?\n\"Answer: -s**3 + 19*s**2 + 28730*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 + m + 0*m**2 - 2*m + (m + 2*m - 2*m)*(3*m + 3*m - 3*m) + 7*m**2 + m**2 + 0*m**2 - 9 + 9 - 11*m**2 to the form g*m**2 + t*m + d and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385245?\nAnswer: 3, 5, 7, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 14. Let i be f(0). Let k = i + 13. Let h be k + (2 - (1 + -2)). Solve -c + h = -2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4) + 0)*-158. Suppose 0 = 5*h + 12 - 207. Let i = h - s. Round i to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/5100 and 163\/1020.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/13)*((w\/w**(-2\/15))\/w)\/w)\/w**(-1\/16)*w**31*(w*(w**3*w)\/w*w)\/w**3 assuming w is positive.\nAnswer: w**(99971\/3120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve -28*l - 17*c + 19*c = -30*l - 8, 0 = 5*c + 40 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -789000 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**4 + 1. Let k be ((-2)\/(-6))\/((-7)\/105). Let c(l) = -9*l**4 - 6*l - 5. Let w(q) = k*p(q) - c(q). Find the second derivative of w(j) wrt j.\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.1. Suppose 15*u - 20*u = -25. Let k = -0.7 + 0.2. Which is the nearest to n? (a) -0.2 (b) u (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*b + 7, -v + 1 = -b. Let t be 3\/v + (-480)\/50. Let a(u) = -u - 6. List the prime factors of a(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 smaller than 90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -6*r - 1512. What is the common denominator of (36\/(-28))\/((-348)\/r - 2) and -13\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*i - 1)*(-5 + 3 + 1) - 2*i + 2*i - 2*i + 0*i - 5*i + 2*i + 293 - 145 + 202*i - 147 - 1 + 2*i + 1.\nAnswer: 197*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 55 = -0*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 10100*o**3 + o**2 + 9*o - 10. Let b be c(-10). Round b to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54477664 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 11*j + 4*b - 23 - 102, 4*j - 40 = -4*b + 24 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 710 + -542.75. Let h = x + -0.25. Let q = 137.9 - h. Round q to zero dps.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 865.41ng in micrograms?\nAnswer: 0.86541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6*n**3 + 45*n**2 - 68*n - 21. Let m be k(5). Solve -m*r + 17*r + 8 = l, l - 3 = -2*r for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h - 2. Let s(c) = 3*c - 2. Determine -3*q(x) + 4*s(x).\nAnswer: 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 13*z + 59. Calculate a(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/2 + 7533*p**2\/2 - 963237*p.\nAnswer: -3*p*(p - 2222)*(p - 289)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -91823*b**2 + 141310*b + 2 wrt b?\nAnswer: -183646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44? (a) -1 (b) 1403 (c) 0 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2267141542?\nAnswer: 2, 223, 463, 10979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 11*g**4\/4 + 1979*g**3\/2 + 38847*g**2\/4 - 234058*g + 42229 = 0.\nAnswer: -349, -22, 2\/11, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*m - 146 = 0, -d + 5*d = -2*m + 544. What is the remainder when d is divided by 41?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 3016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5 - 13*t - 2 - 3*t. Is m(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - 2*j - 2*j + (-2*j + 2*j + 2*j)*(-4 + 3 + 2) - 1 + j + 1 + 0*j - 2*j + 0*j + 21 - 21 + 2*j)*(-1 + 1 - j**2)*(0*j**2 - j**2 + 3*j**2).\nAnswer: -10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 10912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5*g + 95 = 0. Let b be 3\/2*88\/3. Let a = b + g. Calculate the highest common factor of a and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2693 = -406*a + 958 - 403 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = r + 28, 2*m + 30 - 22 = 4*r. Let b(v) be the first derivative of r*v**2 + 0*v**3 - 1\/24*v**4 + 0*v - 16. Factor b(a).\nAnswer: -a**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 748 or -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2399541*s + 2399579*s - 1254 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7992 divided by 216\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24\/17 or 2?\nAnswer: 24\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36841775431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*o + 45 + 34 = -509 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2865820947 to the nearest 1000000.\nAnswer: 2866000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**6\/720 + q**5\/60 + 2*q**4\/3 - 9*q. Let t(s) be the third derivative of h(s). What is t(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -5, 3\/7, 3, 79, 1\/4, 92?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 15 = 8*k, i - 18 = -5*k. Factor 0*c**5 + 15*c**i - 25*c**4 + 15*c**3 - 40*c + 20*c**2 + 8*c**5 - 3*c**5.\nAnswer: 5*c*(c - 2)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2471 + -2426. What is the remainder when 238 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395453 is divided by 592?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3235, -12825, -28835, -51271, -80139?\n\"Answer: -s**3 - 3204*s**2 + 29*s - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 1 = 2*g + 2, -4 = 4*f. Let s = 5 + g. Suppose -s*p = -p - 8. What is the least common multiple of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 861 = -59*z + 4991. Solve 0 = -z*v - 30 + 100 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 7:46 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10 + (3 + (-21)\/5)*100\/(-40). Let u(z) = z**3 + 8*z**2 + 6*z + 6. Calculate u(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 89?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 4*j - 20*k - 78 = -5*j, 18 = -5*j - 2*k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.83 + -13. Let u = t + -2.83. Let l be 4\/30 + (-5)\/(-25). Which is the third biggest value? (a) 0.4 (b) u (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by 4\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -209+-2.18152562\nAnswer: -211.18152562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1118 (b) -1\/8 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 55469 and 54 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 894996 is divided by 250.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-30) - 676749\/180. Let b = s + 3761. Find the common denominator of -31\/10 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-nine fifths of a second?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (1 - 1) - (-1 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 864 = 106*f + 3726 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (234 - 68*r - 216 + 77*r)*(4*r**2 + 4*r**2 - r**2) in the form u*r**2 + c + k*r + o*r**3 and give o.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 1\/2, -0.6 in decreasing order.\nAnswer: 17, 1\/2, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -393 - 404 - 408 + 1195 + 5*s + 5*s in the form n*s + m and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 2 = -7*g. Suppose g*j = -7*j + 288. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by -230476.\nAnswer: 33\/115238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 221.7452l in millilitres?\nAnswer: 221745.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2217 + -2183. Suppose 11*g + 5*g = 464. Is k > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61690186 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 990 and 43920?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -1\/70*p**7 - 7\/12*p**4 + 0*p**3 + 0*p**5 + 14*p**2 + 0*p + 0 + 0*p**6. Find the second derivative of g(c) wrt c.\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -246716 - 398284. Round q to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/81*(-17)\/((-85)\/150)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45475 is divided by 564?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -5.9. What is the closest to 0 in 4, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -5*m**4\/12 - 67*m**3\/6 - 3*m**2 + 31*m - 3. Does 4 divide h(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 0*u - u)*(16*u - 20*u + 16*u).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3960 and 97460?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 104.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 11 = -5*y + 3*r, -5*y = -5*r - 15. Suppose -2*g = j + 2*j + 94, 104 = -2*g + y*j. Calculate the common denominator of g and 43\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1474838 divided by -937?\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10))\/(12\/(-90))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(2))\/sqrt(2) + 5.\nAnswer: sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 3465252?\nAnswer: -10395756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1209.983 and 83.\nAnswer: -100428.589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4924243 - -0.49455. Round p to four decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**3 + 18*k**2 - 13*k - 49. Let v be u(-6). Let d(g) = -g**2 + g + 3. Let j be d(0). Let t = v + j. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 799074, -7, 0.1 in descending order.\nAnswer: 799074, 0.1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 56, 172, 364, 632?\n\"Answer: 38*o**2 + 2*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/560*50)\/((-54)\/288).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 16, t: 4}. Give prob of picking 2 t.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -33 + 2. Suppose 36*k + 2*u = d*k + 1311, -5*k = -u - 1302. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76 - (112 - 49)) + -17?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 0*x**3 + 0 - 1\/40*x**5 + 1\/720*x**6 + 0*x - 3*x**2 + 1\/24*x**4. Let b(g) be the second derivative of k(g). Calculate b(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 332 - -14434. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -171 - -160.96. Let d = k - -10. Let p = d - -0.04. Which is the third biggest value? (a) 2\/9 (b) 0.03 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -70, -102, -154, -232, -342, -490, -682?\nAnswer: -924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3293.\nAnswer: 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3 + -4 - (1 + (-30610 - 4 - -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 13*o + 1. Let m(j) be the first derivative of -j**2\/2 - 10. Calculate -6*m(u) - q(u).\nAnswer: -7*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 154*d**2 - 643*d - 649*d + 1292*d in the form t + x*d**2 + g*d and give x.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73738, -147485, -221232, -294979, -368726, -442473?\nAnswer: -516220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(405)\/sqrt(9)) + 5.\nAnswer: sqrt(17)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*g + 96 = 0. Suppose -96 = 2*k - 3*k. What is the highest common divisor of g and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**4\/4 + z**3 + 2*z**2 - 10*z - 182. Calculate u(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 4*x - 1. Let o(v) = 19*v. Let b be o(x). Let w = -16 + b. Solve 0 = -2*t + 5*q + 4, 4*t - 2 = w*t + 3*q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -24 + 7\/2*k**2 - 35*k. Let s be q(5). Let v(o) = -o + 7. Calculate v(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -180 (base 10) to base 2\nAnswer: -10110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1485 by -15.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/7 and -163\/8280.\nAnswer: 57960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 6:00 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 7169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1767\/(-70))\/((-990)\/231) - 5 and -97\/30.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12437 divided by -5\nAnswer: 12437\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*p**2*w**3 - 3*p**2*w + 8*p*t*w + p*t - 996*t + w**3 - 2 wrt p?\nAnswer: 30*p*w**3 - 6*p*w + 8*t*w + t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 161906, 161893, 161864, 161813, 161734, 161621, 161468?\n\"Answer: -z**3 - 2*z**2 + 161909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 1425.7661?\nAnswer: 1425.6661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 230683804?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -49. Let g(o) = o**3 - 8*o**2 + 12*o + 7. Let r be g(h). Solve -r*f = -x - 6*f + 2, 2*f = 5*x - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -673, -702, -733, -766, -801?\nAnswer: -838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24598917 is divided by 182?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-1*(-14)\/(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2471 divide 1151417243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 2*p = -12, 64*p = 2*j + 68*p - 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -10, 0, 4, -8 in decreasing order.\nAnswer: 10, 4, 0, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341027 is divided by 33.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -0.49, 3 in descending order.\nAnswer: 4, 3, -0.49, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 1:40 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -0.5, 967.1, -14, -0.3 in descending order.\nAnswer: 967.1, 42, -0.3, -0.5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61729 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72831, -145674, -218527, -291390?\nAnswer: -364263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7218 and 26?\nAnswer: 93834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 292.7964 litres in millilitres?\nAnswer: 292796.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 - 2?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 2*sqrt(162)*1 + sqrt(162) + -5 + -2 + 1*sqrt(162) + 3 + sqrt(162) + (-5 + sqrt(162)*-3 - sqrt(162)) + -2)**2 + 2.\nAnswer: -396*sqrt(2) + 771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 193*t**2 - 1005*t + 395003. Calculate v(198).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p - 16. Suppose 0 = p*t - 50 + 10. Suppose 0 = -3*f + 3*u + 28 + 14, 2*f + 4*u - 10 = 0. Calculate the least common multiple of f and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2 (b) 361 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-97*j + 97*j - 39*j**3)*(0*j - 2*j - 2 + 3*j) + 3*j**4 + j**4 - 3*j**4 to b + p*j**4 + k*j + x*j**2 + l*j**3 and give l.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3100 + -3102. What is the closest to -18 in 0.4, 5, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-12 + 0 + -52 + (36 - 26 - 23)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (288 - 127) + -108 + (-1 - 16).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8619 and 15?\nAnswer: 43095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -53, -54, -55?\n\"Answer: -d - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197561.\nAnswer: 7, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6063\/141*(2\/(-8))\/(4\/((-80)\/(-5))).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 1:45 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 3:23 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 2113 - 115 = 0. Let o = 186 - f. What are the prime factors of o?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 4*t = -6*b - 1847, -2468 = -4*b + 4*t. Does 26 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 148*r**2 + 1006*r - 12627. Calculate t(154).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 730717381 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -124 + 300. Let j be (18\/(-5))\/(g\/(-25)). Let d = -7\/11 + j. Put 3, -0.1, d in descending order.\nAnswer: 3, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 2*m - 16. Let t = 7 - 12. Sort t, m, -2.\nAnswer: t, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 9) in base 11?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 108? (a) -0.4 (b) -3\/7 (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 8*j + 1. Let i be (20\/40)\/((-1)\/14). Determine b(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 8*i - 2. Let j(v) = v**2 - 18*v + 52. Suppose 5*o - 5 = 0, -2*l + 3*o = -24 - 3. Let z be j(l). Let c be g(z). Solve -c = 3*x + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 not equal to 22329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1732 - -179. Suppose 5*b = -g + 6017 - u, -3*b + 8191 = 2*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**9\/1008 + i**5\/120 - i**3\/2 + 3*i**2. Let n(q) be the first derivative of x(q). Find the second derivative of n(k) wrt k.\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1241*s**3 - 2*s**2 + 2564.\nAnswer: -3723*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1519 + 15253\/10. Calculate the common denominator of b and 50\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 2289*u + 5 = 2387*u, 3*y + 4*u - 3 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 480 - 475. Solve -i*h = 27 - 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p**3 + 5*p**2 + 3*p - 26. Calculate s(-4).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*u + 23*u - 13*u)*(1 - 2 + 2 + 0 - 2 + 0 + (1 - 3 + 0)*(-4 + 7 - 1) + (4 - 2 - 4)*(6 + 1 - 5)) to r + f*u and give f.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -2\/51, -0.4, 4\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v + 22. Give q(16).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3764300179 to the nearest integer?\nAnswer: 1556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5031 less than or equal to 4487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21112 + 12123?\nAnswer: 33301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3056 - 3478*u + 6099 - 3041.\nAnswer: -3478*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 510*t**4 + t - 414*t**4 + 3236*t**2 - 95*t**4 + 1489 wrt t.\nAnswer: 12*t**2 + 6472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 >= 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -8*x + n - 9, -4*n = -x - 17. Let q(t) = t**2 + 4*t. Let k(l) be the second derivative of -l**3\/6 + 875*l. Calculate x*q(u) - 2*k(u).\nAnswer: -u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**2 + 15*t - 13. Let w(d) = -3*d**2 + 10*d - 9. Let l(b) = -7*w(b) + 5*x(b). What is l(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410773492.\nAnswer: 2, 102693373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(5\/(-15)*-3). Is v + (-3)\/9*3 - -1191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 - 3*d**2 - 13 + (2*d + d - 2*d)*(-36*d - 21*d + 12*d).\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 3:09 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 - 57. Let q = m + 105.7. Let o = -4.1 - -0.1. Put 1, q, o, 5 in decreasing order.\nAnswer: 5, 1, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(3) + 5 + sqrt(30)\/(sqrt(10)*1).\nAnswer: 2*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 3. Let x(l) = 2*l + 30. Let j(r) = r + 10. Let f(z) = 3*j(z) - x(z). Give -2*f(y) - o(y).\nAnswer: -y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20560 and 80.\nAnswer: 20560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.967138 centuries to months.\nAnswer: 5960.5656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -61420000 rounded to the nearest one million?\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1267960 is divided by 316864.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 6) + 1 - -5. Suppose o*u - 6*u = -16. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 - -130\/3. Suppose 4*i + 14 = -t, 0*t = -3*i - t - 11. Let h be (-1875)\/105 + (-2 - -20). Which is the closest to 1\/4? (a) h (b) i (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26 + 38 - 52)*(2*x + 6*x - 4*x - x**4) to the form k*x**2 + d*x + u*x**4 + c + m*x**3 and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-42)\/8)\/7*1267496\/(-141)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -205, -469, -745, -1015, -1261, -1465, -1609?\n\"Answer: 3*k**3 - 24*k**2 - 213*k + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24821289 + -8190167.\nAnswer: 16631122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2468\/7 - 352. Which is the closest to 1\/3? (a) z (b) 0.3 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56.00096 + -56. Round c to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -98\/1581, 0.3, -4, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 0, 3*o + 30 = m - 3*m. Let v be -2 + 8833046 - (o - -8). Let h = -43233046 + v. Round h to the nearest 1000000.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -9*p**3 + 5*p**2 - 26*p + 2. Let z(g) = 4*g**3 - 2*g**2 + 13*g - 1. What is 2*s(m) + 5*z(m)?\nAnswer: 2*m**3 + 13*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 0 (c) 95 (d) 0.03 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3*t = -8, -11*d = -16*d - t - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvirrprkvqkprkk. What is prob of picking 2 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/100*(156\/(-30))\/(78\/(-325))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 34*x - 3. Let g be n(2). Is g <= 64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -920, -895, -854, -797, -724, -635?\n\"Answer: 8*x**2 + x - 929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(0 - -3))\/(-1). Suppose x = l + t - 23, -l - l - 4*t = -56. Solve 0*w - 23 = 2*w - 3*b, 2*w + l = 2*b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a + 0*a + 4*a + (-1 - 1 + 1)*(4 - 4 + a) + (3 - 5 - 9)*(19 - 33*a + 18 + 34*a) + (-2 + 1 - 1)*(-a + 0*a + 0*a) to the form v + i*a and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + v**2 + 22*v - 9. What is r(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 278511455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**4 + 0*d**4 - 2*d**4 - d**2 + d**4 + d**2 - d**4 + 2*d - 2*d + (3*d**2 - d**3 - 3*d**2)*(-d + 0*d - 3*d).\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -35*q**2 - 163*q + 571. What is z(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 1\/105*n**7 + 0*n + 0*n**3 - 2\/15*n**5 + 0 + 0*n**4 + 1\/168*n**8 - 39*n**2 - 1\/15*n**6. Factor a(d).\nAnswer: 2*d**2*(d - 2)*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 5*f + 40, -225*x + f = -224*x - 8. Which is the fourth smallest value? (a) 0.17 (b) x (c) -1.1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.5 - 3. Let s be ((-5)\/(-10)*-3)\/(99\/(-12)). Let a = -3 - -2.6. Sort a, s, x in ascending order.\nAnswer: a, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-22))\/(125\/((-126500)\/(-552)))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1608095 - 3?\nAnswer: 1608092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 11*w + 4)*(w**2 + 44*w**2 + 79*w**3 - 72*w**3) to the form p*w**3 + m + q*w + h*w**4 + b*w**2 and give p.\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v + 5*v + 3 - 4 + (1 - 1 - 1)*(2*v - 3*v + 2*v) + 4*v - 6*v + v as l*v + i and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 + 11*x - 7. Let j(u) = -u**2 - 10*u + 8. Let n(c) = -3*j(c) - 2*s(c). What is n(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 10.4 (c) -2\/9 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in -3, -1\/5, -27, 5?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0956 minus 8?\nAnswer: -8.0956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -10. Let h(w) = w**2 + 12*w + 10. Let a be h(-13). Suppose 17*t = a*t - 30. Solve 0*y - m*v - 2 = -3*y, 3*y - 4 = t*v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 8*d + 44. Calculate u(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffooffoffffoff. Give prob of picking 1 f and 1 o.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 390 from 0.041211215.\nAnswer: -389.958788785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -85.7972.\nAnswer: -85.5972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3*(-3 - 70\/(-6))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -335, -1, -9 in descending order.\nAnswer: -1, -2, -9, -335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**(-6\/5))*i*i*i)\/i**(-1\/10))\/((i*(i**(2\/47)\/i)\/i*i*i)\/((i*i\/(i*i*i**(-26)\/i*i*i*i))\/i)) assuming i is positive.\nAnswer: i**(11213\/470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71*a**3*l**2 - 8*a**3*l - 8*a**3 + 1 wrt l?\nAnswer: 142*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46.91 + 1.09. Let g = 48.3 - t. What is the closest to 2 in g, 2\/21, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*v = -27*v - 84 - 228 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 2*i - 3*v, 6*i + 3*v + 7 = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15233461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/8)\/((-2)\/(-4)). Let t = 3 + h. What is the remainder when (-24)\/(-14) + t\/(-7) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*v = x, 0 = -4*v - x - 3. Suppose 2*k + 10 = -2*l, 4*l + 5*k = 2*k - 19. Put l, v, 4 in decreasing order.\nAnswer: 4, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 447 or 508?\nAnswer: 447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - o = -108515. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11684930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 8\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 7*g - 58. Let o be t(-9). Let m = o + 130. Solve 2*n - 17 = -3*l, -4*l + m = 4*n - 3*l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1635994 to the nearest integer?\nAnswer: 1279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 18 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 + 118 - 63)*(-14*k**3 + 14*k**3 - 6*k**3).\nAnswer: -762*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1749488.\nAnswer: 2, 13, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1621 + 1471665605.\nAnswer: 1471667226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 16*p - 2. Let k be c(-21). Suppose j = 5*l - k, -4*l = -2*l + 2*j - 46. Is 21 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 0 - -7) + 12 + -3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8 + 39\/12. Is y*(-2)\/12*-142 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-252)\/(-2457)*(3\/2)\/(-1)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 692381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -12 + 11 - 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4 - 57508*p**3 + 517426*p**2 - 459920*p = 0 for p.\nAnswer: 0, 1, 8, 28745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*2.7676.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4052*h + 56. What is p(0)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 137230547?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -253, -237, -211, -175, -129?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2885 - 0.1115. Which is the second biggest value? (a) q (b) 1 (c) 0.143\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -11, -9\/5, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -5. Suppose 0 = g*m - 3*i, -5*m + 24 = -2*m + 5*i. Suppose -1 = m*v - 7. Which is the nearest to -0.1? (a) 4\/5 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 185 + -252. Let k = g - -74. Which is the closest to -1\/3? (a) 2 (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2223971\/2007240 + 6\/16727. Which is greater: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125785 is divided by 874.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172 = 5*v - x, 7*v - 4*x - 144538 = -144771 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/165 and 54\/7192625.\nAnswer: 21577875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 387644415767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 6:14 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 80\/9 of a day?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14293 divided by 36.\nAnswer: 14293\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4 = -4*k, 3*v + 4 = -3*k - v. Suppose -10 = -2*t - 4. Let p(z) = t + z + k*z + z. What is p(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3995 = -4*g - 2*o - 3*o, -3*o - 2976 = -3*g. Let l = g + -122. Let r = -428 + l. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 677 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188735727?\nAnswer: 3, 62911909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p**5 - 14*p**4 - p**3 + 13*p**2 - 7*p + 1 = 0. Calculate p.\nAnswer: -1, 1\/4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d = -5. Suppose 3*l + 2*m = 12, -3*l = 3*m - d - 10. Suppose -1820000 = -0*k + l*k. Round k to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 301462.823 - 301212. Let d = z + -251. Let t = 0.17 + d. What is t rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 39177?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13350 is divided by 1942.\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1287 (base 11) to base 4.\nAnswer: 122010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 256*l**3 - 9*l**2 + 9*l - 1. Let b(k) = k**3 - 3*k**2 + 3*k. What is -3*b(a) + r(a)?\nAnswer: 253*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.44 + -0.04. Let j = 3.3 - 28.3. Let i = 20 + j. What is the nearest to 1\/4 in 3, i, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 21. Suppose -2*p - 3*h = 27, -4*p + 4*h = p + 10. Let v = 8 + p. Solve v*f + f - l = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90 + 90 + 1016*c + 1318*c)*(-9*c**2 - 5*c**2 - 19*c**2).\nAnswer: -77022*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3695 and 1165403.\nAnswer: 5827015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 1. Suppose 0 = -3*r + 7 - 13. Let g = 0.3 - -0.1. What is the nearest to r in g, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3002 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -2 - 2 - -3. Let f = -103 + 103. What is the nearest to -2 in n, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h + 5. Let y be d(5). Let w be ((-2)\/(-3))\/((-1)\/(-6)). Let l = y - w. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + r - 16. Let h(a) = -2*a**2 - 2*a + 31. Let k(j) = -3*h(j) - 7*w(j). Let c = -27 - -27. What is the tens digit of k(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 18 = -57. Suppose -2*h + 5*q = h - u, -3*h = q - 31. Suppose l - c - 11 - h = 0, -3*l + 83 = 2*c. What is the greatest common divisor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117 + (-1)\/((-4)\/(-4)) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 5*m = -50, 3*m - 52 = 1561*l - 1566*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4594 + 14451. Is n a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341*j**3 - 3986*j**3 - 384*j**3.\nAnswer: -4029*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0 + 1 = 2*p, -7 = -3*p - 4*s. Solve h + 2*d - 3 = -0*d, -4*d = -3*h - p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112781 is divided by 480.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -938 + 4722\/5. Suppose 2839 = 40*v + 2719. Suppose -t*k**v - 16\/5*k**2 + 0 - 2\/5*k = 0. Calculate k.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114706 (base 8) to base 4\nAnswer: -21213012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1.3, -39, -4 in increasing order.\nAnswer: -39, -4, -1.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 8*r = 4*r + 40. Which is the fourth smallest value? (a) 2 (b) 1\/156 (c) r (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 167 - 153. Solve -4*h + 12 = -2*t + 4*t, -t + q = 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10512 - -6422. Round q to the nearest 100.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1446\/5)\/(5*(-1)\/150). Let l = y - -13655. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361357067 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17479982?\nAnswer: 2, 13, 29, 97, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6)*(-9)\/(-2). Let k(u) = -3*u**2 - g*u + u + 2*u. Let o(l) = -2*l**2. Determine k(o(v)).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1325760 divided by 55240\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357761115.\nAnswer: 3, 5, 137, 58031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 5*i = -10*i - 15, -p = -i + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*p**3*w**2 + 4*p**3 + 64*p**2 - p*w**2 + 6*p*w - 391*p wrt p.\nAnswer: -30*p*w**2 + 24*p + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/sqrt(128)*3*-3 + 0.\nAnswer: -9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -100277359 + -9247\nAnswer: -100286606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4140 is divided by 218?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -42*h - 62 - 12*h + 14*h - 15*h. Calculate the remainder when z(-3) is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 - 1)\/(-2 - (-105)\/55) is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 627*o. Let a(l) = -2*l. Determine a(t(s)).\nAnswer: -1254*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019506 to the power of 1\/2, to the nearest integer?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k**2 - 34*k + 2. Let o(q) = -7*q**2 + 35*q - 3. Let t(x) = -4*o(x) - 5*p(x). Let s = 3 - -3. What is the smallest common multiple of t(15) and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367357 is divided by 1100.\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyb when three letters picked without replacement from lbyblbblllbpbll.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253235381.\nAnswer: 7, 101, 51169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7078240 and 30.\nAnswer: 21234720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -1625925480855\nAnswer: -1625925480854.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 - 2*y**2 + 2*y**2)*(-6 + 0 + 4) - 4*y**3 - 4*y**3 + 5*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -8*c + 106. Let m be o(15). Let i(f) = -33*f + 158. What is the units digit of i(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8c (base 15) to base 8.\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231235429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17480 is divided by 1745.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -24. Let z be (-8)\/(-10)*(-10)\/(-4). Suppose z*o - t = -o. What is the remainder when 19 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83*j**3*q + 30*j**3 + 51*j**2*q + 3*j - 46 wrt j.\nAnswer: 498*q + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/8 + -1)*-1*-16. Let p(d) = 5*d**3 + 2*d**2 - 2. Let l(j) = -35*j**3 - 15*j**2 + 15. Give x*l(f) + 30*p(f).\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31782 is divided by 10592?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 10 = -9*d, 173*s = -3*d - 182*s + 351*s + 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (1 - (2 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 154800 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 - 58 = 22*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -44 - -2?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 254362 + -505?\nAnswer: 253554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 4*a**2 + 2*a + 5. Calculate y(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-606336)\/81840 - 1*-1. Let t = -3\/341 - g. Factor t - 136\/5*r**2 - 112\/5*r - 36\/5*r**3.\nAnswer: -4*(r + 2)**2*(9*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*l + 14*l + 1 + 2*l**3 - 2*l**4 + 5*l**4 to the form j*l**2 + n + z*l**3 + c*l + u*l**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 124 - 1 - (69 - 66). Let x(s) = 14*s + 4. Let a be x(-4). Let p = a + h. What is the remainder when p is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 5 - (-370 - -353)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2\/3 - 5297812*t\/3 - 1765936.\nAnswer: -4*(t + 1)*(t + 1324452)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 29\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 97. What are the prime factors of g(27)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*d**2 + 6*d**2 + 4*d**2 + (-1 - 2 + 1)*(2*d - 3*d + 2*d)*(-d - 3*d + 5*d) - 2*d - 2*d**2 + 2*d.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-9)\/45*18\/(-6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0.05 (b) -2 (c) -4 (d) 17270 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40366, 39367, 38368, 37369, 36370?\nAnswer: 35371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 8*s - 39. Give i(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5149374701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*r - 11354 + 11384. Solve w - 3*w + 3 = z, 0 = r*w + z - 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)*h)**(-8)*(h\/(h*h**1)*h)\/h**(-2\/7) assuming h is positive.\nAnswer: h**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 900 = 3*y + 5*x, -5*y + 2*x + 1500 = -x. Suppose 0 = -z + 11*z - y. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - (-11 - 16))\/(3\/5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -105, -3, -38676 in descending order.\nAnswer: -3, -105, -38676","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 5022285376 minus 0.4155?\nAnswer: 5022285375.5845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14468564 is divided by 32.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.63 - 0.03. Let b = m - 0.1. Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 299640\/(-39952)*4\/(-5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9716 divided by 5\nAnswer: 9716\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7442*h**2 + 262300*h + 2311250.\nAnswer: 2*(61*h + 1075)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16049, 31939, 47667, 63233?\n\"Answer: -81*k**2 + 16133*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 1\/5 (c) 0.5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 44.4 (b) -1\/7 (c) 68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -171 by -1.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*s + 1065 = -14*s - 80*s - 3223 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjthhthmjthctttujjhj. What is prob of sequence jm?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 75322547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -12. Solve -d - 2 = -p - 4, 0 = j*d - 5*p - 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 + 16*t**2 - t + 3. What is s(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0729 rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 99*w**3 + 2*w**2 + 18*w - 15141 wrt w?\nAnswer: 297*w**2 + 4*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2492 + -2486. Let l(b) = 4 - 2 - 4 + 9*b**2 - b**3 - 4*b. List the prime factors of l(w).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 69db - -2d82?\nAnswer: 997d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 584, 3770, 12156, 28334, 54896, 94434?\nAnswer: 149540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 4)*(-1)\/(-2). Suppose -3 = z - k. Let q = -2 - z. Let f(l) = 3*l + 1. What is f(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 1 + sqrt(468))*-5 + sqrt(468) - (sqrt(468)*1 + -5) - (sqrt(52)*-1*-5)\/(-2*sqrt(16) + sqrt(16)).\nAnswer: -115*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 3. Let u be s(-5). Let w be (-4)\/u + 8\/(-3). Let h = -0.4 - -0.2. Put h, 2\/7, w in decreasing order.\nAnswer: 2\/7, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/7 and -43?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 712503.0767 + -125\nAnswer: 712378.0767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*k - 12891 = -5*h - 199*k, 5*k = 4*h - 10280. List the prime factors of h.\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*u**3 + 30*u**3 + 22*u**3 + 25*u**3.\nAnswer: 118*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - 15*7\/(-21). Solve -4*h + 2*u + a = 3*u, -2*h = -5*u + 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*h**5 + 0*h**5 - h - 45*h**3 - 3*h**4 + 1645*h**2 + 0*h**5 + 294*h**2 - 73*h**2 wrt h.\nAnswer: 960*h**2 - 72*h - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**4\/2 - 203*p**3 - 17887*p**2\/2 - 98140*p - 89400 = 0.\nAnswer: -20, -1, 447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 7 - 16*g**2 + 11 in the form s + i*g**2 + j*g and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -95*c + 91*c + 42, -3*c - 3*k = 9. Solve 44\/3*w**c + 4\/3*w + 8*w**2 + 0 + 8*w**4 = 0 for w.\nAnswer: -1, -1\/2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 8. Suppose -2*a + a = -p + 2, 4*p = -a + n. Is (-20)\/(-4) - 4\/p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201672 divided by 4?\nAnswer: -50418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 191454059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21934283051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2064045951?\nAnswer: 3, 11, 1895359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36791711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 477 and 5777?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/22 - (180\/13200)\/((-3)\/(-18)). Let v = -5.3 + 3.4. Let k = -2 - v. Which is the nearest to 3? (a) l (b) -0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 12*d - 5. Let c(g) = -6*g + 3. Let y = 120 - 126. Let n(l) = y*x(l) - 10*c(l). Let i(t) = 4*t. Determine n(i(w)).\nAnswer: -48*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 552 and 600?\nAnswer: 13800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3\/7, 0.11, -2\/7, 2?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-3) - (3 + -3))\/(143\/572).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 0 + 0*x + 1\/56*x**8 - 9\/140*x**7 + 0*x**3 + 3\/40*x**6 + 0*x**4 - 1\/40*x**5 - 25*x**2. Solve y(j) = 0 for j.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2245*v + 1842*v - 3411*v.\nAnswer: 676*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 + (2 + -8)*(-1)\/(-2) and 441?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*a = -175 + 187, 2*d = -a + 18. Let r(v) = v**2 - v + 10. Let z(g) = -g - 1. Let i(h) = r(h) + 6*z(h). Calculate i(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -4, 6, 90 in ascending order.\nAnswer: -4, 2, 5, 6, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2453 is divided by 86?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17969532367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t - 20. Is 16 a factor of c(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 5. Let t be i(-3). Let v(g) = -5*g + 2. Let y(z) = 0*z - 20 + 18 + 5*z. Let m(d) = 5*v(d) + 6*y(d). What is m(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.4 + -22. Let t = 1.4 + m. What is the nearest to 1 in -0.4, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12 + 6885\/(-600) + -2*(-6)\/(-16) and -107\/720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 0*q**2 + 4\/3*q**3 + 0*q**4 + 0*q**5 + 0 - 1\/10*q**6 - 9*q. What is the second derivative of j(p) wrt p?\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 164*m**5 - 2*m**4 - 1344*m?\nAnswer: 3280*m**3 - 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64138360 by -5830760.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-9))\/((-22)\/150)*(-1395)\/6975.\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 295322856 and 30?\nAnswer: 1476614280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -5, -70, -1, -4.\nAnswer: -70, -5, -4, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2957 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 80581037639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117062, 234123, 351184, 468245, 585306, 702367?\nAnswer: 819428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2 - 1. Let n(x) = 0*x - 2*x + 0*x + 4*x**3 + 1 + 50*x**2 - 49*x**2. What is n(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -131334770755 - -3.\nAnswer: -131334770752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -2780.6\nAnswer: 1390.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2 = y, 2*z + 3*y = -2*z. Let q = z + 13. Solve -3*r - k - q = 0, -k = k - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222121120021 - 221?\nAnswer: 1222121112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 61 = 59. Calculate the highest common factor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3561\/16 > -224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -4 (c) 34130\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**4 - 2*w**3 - 10*w**2 + 2*w + 2. Let d(t) = -3*t**4 + 3*t**3 + 23*t**2 - 3*t - 5. Let n(b) = -5*c(b) - 2*d(b). Find q such that n(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -49 and 0.3299.\nAnswer: -16.1651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, j: 11}. What is prob of picking 2 x?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/3 (b) 3 (c) -10 (d) 37 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, i: 6, z: 2, f: 3, w: 3}. Give prob of sequence wriz.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10230 (base 6) to base 8\nAnswer: -2552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2923434 is divided by 162407?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 3:54 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14630723.2 rounded to the nearest 100000?\nAnswer: -14600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 10*s. Let r(k) = -12*k - 30. Let y(i) = -14*i - 36. Let g(m) = -5*r(m) + 4*y(m). What is t(g(d))?\nAnswer: 40*d + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r + 3. Let m(a) = a**3 - 11*a**2 - 8*a - 45. Let n be m(12). Let h(x) = -x**2 - 4*x + 25. Let w be h(n). Determine j(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -1260*t - 39. Let d be w(-5). Let i = d - 4163. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.41577 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 1854.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6933.\nAnswer: 3, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p - 7*p - 112 = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2111 is divided by 136?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30397066228 - 56*k**2 - 30397066228.\nAnswer: -56*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-672)\/12)\/(-14))\/46?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 110011 (base 2) to base 10\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 769 = 3551. Let y be v\/88 + 4\/22. Solve 5*o - 3*o + y = 0, -5*q + 40 = -3*o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 4:53 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339 + 339 + w - 222*w**3.\nAnswer: -222*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -0*j - 2*j. Let k = j + -34. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 21 = -5*w - 73, -40 = 4*w + 2*k. Suppose 0 = 4*a, -a - 6 = -s - 62. Let y = w - s. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6671*d**2*i**3 - 2*d**2*i - 4*d*i**3 + 2*d + 2*i**4 + 679*i**2 - 12 wrt i?\nAnswer: -40026*d**2 - 24*d + 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153 and 185211.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2627464 and 9016.\nAnswer: 423021704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65661550, 65661552, 65661556, 65661562, 65661570?\nAnswer: 65661580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l - 3 + 3)*(25507*l + 27071*l - 51286*l) to a*l**2 + z + k*l and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*z + 196*z - 29 = 5*x, -4*z = 2*x - 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 32 = 2*p, -25*f = -21*f + 2*p - 88. Suppose 26*d - 958 = f*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 + 9*z + 8. Let u be f(6). Let c = 10 + u. Suppose c = -3*i + 7*i + 20. What is the closest to 1\/2 in 1, -3\/4, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*t + 7 - 29, -4*t + 2*f = 20. Let j be 2\/t + (-14)\/(-6). Let m(g) = -g**3 + 3*g**2 - 1. List the prime factors of m(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 4839, -59, -3, 0 in increasing order.\nAnswer: -59, -3, -1, 0, 5, 4839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - w**2 - 40*w**2)*(-w - 3 + 4 + 3*w).\nAnswer: -84*w**3 - 42*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + (-425)\/75)*(-897)\/(-16) - 18\/(-48).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x**0*x)*x)**43\/(((x**(2\/7)*x)\/x)\/x)**(-2\/5))**(2\/3) assuming x is positive.\nAnswer: x**(400\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 6*x**2 + 4*x + 1. Suppose -b + 26 = 5*f, 4*f + 0*b - 3*b = 17. Give c(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2 + 1 + 0 - l**2 + 4 - 2*l. Let w be d(-3). Suppose w*m = 3*m - 36. Calculate the highest common divisor of 36 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3307.\nAnswer: 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45006 is divided by 62.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 201594453.9 to the nearest ten thousand.\nAnswer: 201590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1137206 and 51562?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5900750.73 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*c + 109*c + 135*c - 346*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230 + 230 + 4*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h - 5. Let m(w) = 7*w + 7. Let p(z) = -6*z - 6. Let b(x) = -4*m(x) - 5*p(x). Let t = -181 - -186. Give t*b(s) + 2*c(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 12*s**5 - 64096*s**4 - 235160*s**3 - 106944*s**2 + 235148*s + 171040 = 0?\nAnswer: -8\/3, -1, 1, 5345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p. Let v(a) = -3*a**2 - 4. Let j(w) = 1. Let q(i) = -4*j(i) - v(i). What is q(k(h))?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.55788ml in litres?\nAnswer: 0.05755788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 178055115?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0.2. Let z = 3 - -1. Let k = 3.8 - z. Which is smaller: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y = 16*g - 30*y - 6, -150 = 5*g + 3*y + 147 - 332 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -67ab (base 15) to base 7\nAnswer: -121046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 9) to base 7\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvv when three letters picked without replacement from {s: 2, a: 1, d: 2, n: 3, f: 6, v: 5}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 153.845 + -154. Let r = q + -1.845. Let p(u) = u - 9. Let l be p(8). What is the closest to l in r, -0.5, -2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12095711\/539 - 22441. Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 9:06 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -247 - (2 + (8 - 5)). Let j = 330 + p. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-3)\/(-3) + 4 + -1. Let z be 0 - 9*(y - 4). Suppose -z*l - 3 = -6*l. Put l, 1, -2 in decreasing order.\nAnswer: 1, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*m = -141, -40 = -3*n + 2*m + 71. Let l be ((-1)\/15)\/(6\/(-18)). Which is the fourth biggest value? (a) 3 (b) n (c) l (d) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 9:06 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15*(-9)\/(-810)*(-9)\/(-4) - 1230\/(-48)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 6.12 take away -10049507235.9?\nAnswer: 10049507242.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, v: 1}. What is prob of picking 1 j and 1 v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 10:57 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1913021977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*s**4 + s**2 + 238*s - 3095 with respect to s.\nAnswer: -12*s**3 + 2*s + 238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3291571*i - 16. Let t be o(-8). Let w be ((-1424)\/6)\/((-16)\/t). Let c be w\/(-14) + 12\/42. What is c rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) -1\/2 (c) 2 (d) -2.8 (e) 1\/24 (f) 3\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*b + 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/8)*(((v**(-4\/3)*v)\/v*v)\/v)\/v*(v\/(v\/v**(2\/9)))**(-3\/11))**(2\/39))**35 assuming v is positive.\nAnswer: v**(-1435\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1*22\/(-24)*-2 and 27\/12*(-6)\/(-45).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -516*n + 87204. Let c be r(169). Let z be (3 + 1)*5\/4. Solve c*g = -z*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -471 (base 9) in base 12?\nAnswer: -284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -156, -484, -1118, -2160?\nAnswer: -3712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 45 = -5*o + 2, -13 = -o + r. Solve o = 3*f - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4662 (base 10) in base 3?\nAnswer: 20101200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2 + 81*y + 179. Let n be t(29). Sort -4, 3, 1, n, 9 in descending order.\nAnswer: 9, n, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-4))\/(2\/24). Suppose m*c - c = 135. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l - 2*l + 4*l. Let n(m) = 7*m**2 + 8*m**2 - 12*m**2. Determine o(n(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161619 and 1479?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 - -2132404?\nAnswer: 2132335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-57)\/18 + 3 + (-4097)\/(-102). Let g be 2\/l*(6 - 5)\/(-2). Do -1 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 7) in base 14?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11445, 11449, 11453, 11457, 11461?\nAnswer: 11465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4919?\nAnswer: 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(88)\/(-3*(sqrt(8) - sqrt(128))) + -2*sqrt(1100)*-3))**2.\nAnswer: 80487275\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j**2 - 2*j)*(2*j + j**2 - 2*j) + j**4 + j**4 - 4*j**4 - 3*j**4 - 3*j**4 + 4*j**4 + 27*j**4 + 575*j**4 - 11358 + 11358.\nAnswer: 597*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*sqrt(72) - sqrt(72)) + sqrt(72) + 3)**2.\nAnswer: -504*sqrt(2) + 14121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 394092745, 394092746, 394092747, 394092748, 394092749, 394092750?\n\"Answer: z + 394092744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -482 = -3*p + 2*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9823 + 0.0177. Let i = -0.64 - -0.04. Sort 0, a, i in increasing order.\nAnswer: i, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 57379*v + 57265. What is c(-1)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w - 5. Suppose 9 + 3 = 2*l. Let d be n(l). Let z = d - 7. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/2338 and -131\/69138?\nAnswer: 483966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**7\/2520 + w**6\/144 + w**5\/5 - 5*w**4\/2 + 29*w. Let j(r) be the third derivative of p(r). Does 25 divide j(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 14*k + 2. Let t be z(-14). Let n(g) be the first derivative of t*g**3 + 77 - 48 - 5*g**2 - 29*g**2 + 22*g. Find m such that n(m) = 0.\nAnswer: 1\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v - 8*v**2 + 31*v - 14*v - 30*v + 23*v**2.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 3*p + 45. Let t be ((-6)\/5)\/(3\/p). Is (2\/t)\/(4\/(-372)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0, 6.5, -1\/8, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2 + 3. Let v be g(13). Calculate the highest common factor of v and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 7*o - 9. Let d(i) = 15*i - 19. Let l(g) = -6*d(g) + 13*t(g). Calculate l(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + -1 - (-1)\/5. Let c = -3\/239 + -4048\/1195. Let a = c - x. What is the nearest to 1\/2 in -4, -3\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 278 = -2*m - 80, -5 = 5*m. Suppose 6 = 2*t + t, 5*l - c = 5*t. Suppose 2*a = -2*k + l, -5*k + 3 + 0 = -4*a. Solve -a*d + 4 = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 746, -19, -103, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2238 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*q**3 + 28*q**3 - 147*q**3 + 25*q**3 + 24*q**3 + 35*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**5\/60 - m**4\/24 + m**3\/3 - 9*m**2. Let u be (-10)\/8*(-8)\/2. Suppose u*n = n - 5*q - 11, -4*q + 24 = -5*n. Calculate o(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -7*s**2 + 10*s - 1. Let y(r) = -6*r**2 + 9*r - 1. Let w(g) = -6*y(g) + 5*z(g). Let a be w(4). Suppose 3 = 4*m - a. Sort 2, -5, m in decreasing order.\nAnswer: 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4096690194?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**1\/r))\/r**(2\/11))**7)**(1\/5) assuming r is positive.\nAnswer: r**(63\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q - 6 = 0. Solve -30 = -5*c - q*a, c - 3*a = -c - 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1793*f - 1791*f = 5*j + 22, -17*f + 15 = -5*j - 22*f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 40*d + 7\/6*d**3 - 1\/24*d**4 + 1\/60*d**5 + 0 + 16*d**2. Let m(g) be the first derivative of p(g). Determine m(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52292*j**3 + 9*j**2 - 5236 wrt j?\nAnswer: 313752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01847 + -16046212?\nAnswer: -16046211.98153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 8, -5, -3380 in descending order.\nAnswer: 8, 2, -1, -5, -3380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12164 + 46633. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -8*y**2 - 2901*y - 40712. Calculate d(-348).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -55*n - 3400. Give m(-68).\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57201907 to the power of 1\/3, to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(11) - (2 + -2*sqrt(11))).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 9:58 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f - 55 + 41 + 37 to g*f + h and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a meter in centimeters?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n**3 + n**2 - 2*n + 1. What is x(3)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.8618192 millennia?\nAnswer: 861.8192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14\/15 + 61\/30. Let m = 2986 + -53815\/18. Calculate the common denominator of d and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1469 + 119.9469. Let r = i + -120. Which is the nearest to 0.3? (a) r (b) 0.04 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 9) + 13 + (8 - 10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13038 and 324201?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6051545\/2 or 3025773?\nAnswer: 6051545\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -75, 1714 in decreasing order.\nAnswer: 1714, -1, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 2550 - 1622. What are the prime factors of g?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 6:05 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 15*z - 3*o = 25, o = -3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 119443 + -56143. What are the prime factors of a?\nAnswer: 2, 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + v**2 + 2 + 3 - 3 + 2*v**2 - 5*v + 5*v - 6*v**2 - 3*v + v**2 + 3*v + (0*v + 0*v + v)*(4*v - v - 2*v) - v**2 + 2*v - 2*v + 3 - 2*v**2 - 3.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 3*l**2 - 2*l - 3. Let c be t(3). Suppose 141 + 6 = -3*d - 2*z, 100 = -2*d - 2*z. Let o = c + d. Put 2, 5, o in increasing order.\nAnswer: o, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1528.518 + 1534. Round o to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 18 = -27. Calculate the common denominator of -97\/6 and ((-455)\/(-60))\/(-7)*q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -16. Suppose 4*o + 2*v = -4, -4*v - 8 = -o - c*v. Let h be ((-3)\/(-6)*o)\/1. Solve h = 4*b + 7 - 19 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 86*y**2 + 2291*y - 15. Let w be i(-28). Calculate the highest common factor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (88\/(-18))\/(1556\/(-10503))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 257 or 513\/2?\nAnswer: 513\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.04506 and 292.3.\nAnswer: 292.34506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266118 = 42*p + 267042 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**4 + 155*r**3 - 1065*r**2 + 1665*r = 0.\nAnswer: -37, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert f7 (base 16) to base 8.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2065, -2059, -2047, -2023, -1981, -1915, -1819, -1687?\nAnswer: -1513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 - 131*h + 1. Let g(y) = -7*y. What is i(g(f))?\nAnswer: -196*f**2 + 917*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.2. Let f = 5363 - 5362.9. Suppose 4*l - 16 = 2*g, 3*l = -4*g + 7*g + 18. Which is the nearest to f? (a) u (b) 4\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 1 - 1 + (-4 + 3 - 1)*(-4 + 2*y + 4) - 2*y - y + 2*y + (-2 + 2*y + 2)*(9 - 2 + 19) - 5 + 5 + y.\nAnswer: 46*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 431212 (base 5) in base 15?\nAnswer: 44a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 0. Let x(c) be the second derivative of c**4\/12 - c**3\/6 + 4*c. Let f(b) = 3*b**2 + 0*b**3 + 8*b + 10*b - 22*b + b**3. Calculate g*f(h) + 4*x(h).\nAnswer: -h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2) - (-164)\/(-8). Let r be (12\/14)\/((-12)\/i). Suppose 6*p - 1 = -31. Sort p, r, -3 in increasing order.\nAnswer: p, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n + 18 = -18*q + 17*q, -12 = 8*n + 2*q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*u + 18, -2*u - 65 = 4*x - 3*u. Let o = x + 23. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*x - 32*x - 30 = 0. Calculate the greatest common factor of 120 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 721426 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696602 is divided by 1416.\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6174613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 221, 323, 423, 521?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (26\/(-6))\/((-1)\/(-3)). Let a(y) = 8*y + 14. Let m = -181 - -179. Let s be a(m). Put s, l, -3 in decreasing order.\nAnswer: s, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.3164506 micrograms?\nAnswer: 0.0003164506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 8 - 4 = 0. Let v = 13 - 11. Suppose 0 = -m*j - v*j + 508. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -1, -45, 19878, 6\/11, 0.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 48 and 0.22194.\nAnswer: 48.22194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, j: 18, o: 1}. What is prob of sequence jej?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 + 56. Suppose -5*h + 19 = -6. Suppose -n - h*w = -i*n + 5, -5*w = n - 1. Put -5, 3, 6, n in ascending order.\nAnswer: -5, n, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.5 + 3. Let l = -0.05 - p. Let a = l - 0.4453. Round a to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 555 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 - 70. What is the first derivative of -n*t**2 - 10*t - 9*t - 252 - 6*t + 25*t wrt t?\nAnswer: -42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/4 - 11*d**3\/2 + 183*d**2\/4 + 107*d + 56.\nAnswer: -(d - 8)*(d + 1)**2*(d + 28)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167630*q + 6 - 4 - 5 + 167583*q.\nAnswer: -47*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -140893.79 - -3?\nAnswer: -140890.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 340435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-4 + 9 - -2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, l: 4}. Give prob of picking 3 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8167*d + 8184*d + 5 - 5.\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176 - 161 + 59*f + 337.\nAnswer: 59*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 - -10624660?\nAnswer: 10624676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/17 (b) -3\/8 (c) -11 (d) -3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/7 (b) -0.014 (c) -86244 (d) -1\/4 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1 (b) -333 (c) 2\/5 (d) -1729\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/40 and -33\/740?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 412537*v - 16501492. Calculate g(40).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 94584*u - u**2 - 94665*u - 3*u**2 as i*u + m + r*u**2 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - -2?\nAnswer: e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 681217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 2 - 10*t**2 + 6*t**2 + 9.\nAnswer: -4*t**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1507 + 461. What is the greatest common factor of k and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 40 = f. Let u = -48 - -18. Let o = u - f. Is o <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3)\/(n*(n**15*n)\/n))\/(n**(-1\/5))**(15\/8) assuming n is positive.\nAnswer: n**(-383\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 11*d**6\/360 + d**3\/3 - 8*d. Let h(y) be the second derivative of x(y). Let v(m) = 2*m**2. Give h(v(l)).\nAnswer: 44*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 142*u - 10. Let m(h) = 71*h - 4. Let o(b) = 2*g(b) - 5*m(b). Let r(d) = -d**2. Give o(r(s)).\nAnswer: -2*s**4 + 71*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*k - 2*o, k - 15*o + 2 = -13*o. Let d(b) be the second derivative of b**k + 0 + 2*b**3 - 1\/10*b**6 - 3\/20*b**5 + 0*b**2 + 24*b. Factor d(l).\nAnswer: -3*l*(l - 2)*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 316 = 5*x + 98, 74 = l + 3*x. Suppose 2*i - 46 = 10*d - 5*d, 5*i - 5*d = 100. Let u = l + i. Is 25 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4139, 4112, 4069, 4010?\n\"Answer: -8*p**2 - 3*p + 4150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23591 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 z(a) = -a**3 + 2*a**2 - 3*a + 3. Let i be z(3). Let y be (-1056)\/(-10) + i\/25. Suppose 2799 = 6*r + y. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + 2*f + 3*f + 9*f**2 - 2*f**2 - f + f + 0*f**2 + 4*f**2 - 3*f**2 + (0*f + 0*f - 2*f)*(0*f + f + f).\nAnswer: 4*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 - 2*x**2 + 5*x**2 - 3*x**2 + 4*x - 4*x + (-2*x - x + 4*x)*(-4*x + 4*x + 2*x) + x**2 + x**2 + x**2 + 23*x**2 - 3*x**2 + 3*x**2.\nAnswer: 26*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.38888 - 154.087396?\nAnswer: -155.476276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 119 - -9550258?\nAnswer: 9550377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83035.\nAnswer: 5, 16607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - c + 308 = 0, 5*j - 388 = -5*c + 3*c. Does 19 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3717, -6258, -13145, -26550, -48645, -81602?\n\"Answer: -362*s**3 - s**2 - 4*s - 3350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**2 + 3*d**2 + 3*d**2 + (d - d - d)*(d - 11*d - 4*d) + (-d + d + d)*(-303*d + 1989 - 1989).\nAnswer: -288*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 7. Let a(m) = -1. Let c(l) = l. Let h(r) = a(r) + c(r). Let v be h(6). What are the prime factors of o(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 68?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*f - 573 - 330 - 77 = 0 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + n - n + (-2*n + 5*n - 2*n)*(n - 5 + 5) + (-135*n + 122*n - 66*n + 2)*(-2*n + 4*n - 5*n).\nAnswer: 236*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100*a + 160*a - 317*a)*(-18*a + 5*a + 5*a - 2 + 2*a + 2 - 2*a + 5 - 5 + 2*a + 0*a - 3*a + (3 - 4 + 2)*(-a + 3*a - 3*a))*(1 - 1 + 2*a**2).\nAnswer: 5140*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172 + 471008*g + 49 - 470995*g.\nAnswer: 13*g - 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, -3, -139?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**3*y**2 - 547*m**3*y - 1019*m**3 wrt y.\nAnswer: 2*m**3*y - 547*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 364c - 4d?\nAnswer: 35ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -9*o + 375. Calculate y(32).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 19*a**2 - a + 1. Let k be t(19). Let c = k + 22. Solve -5*q + 3*j = 16, -c*j + 5 = -4*q + j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -41977, -0.4, 0.035?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - -34.97.\nAnswer: 14.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 2 - (-39 + 43).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 143 + -140. Solve -2 = -i*g - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2065 divided by 167.\nAnswer: -2065\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 5:03 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11615 - -11615. Let g = -4 - -13. Solve 2*w - 2*d + 2 = b, 0 = -g*w + 4*w - d - 29 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**3 - 5*w**2 + 26 - 14 - 14 - 3*w. Let l(y) = -3*y**3 - 6*y**2 - 4*y - 3. Calculate -3*l(x) + 4*q(x).\nAnswer: x**3 - 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -31275000 rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 63, -5 in ascending order.\nAnswer: -5, 1, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**5\/300 - i**4\/40 + i**3\/15 + 35*i**2\/2 + 3*i + 3. Let n(b) be the first derivative of y(b). Factor n(q).\nAnswer: (q - 2)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -502 plus -0.03?\nAnswer: -502.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7397990*z + 17900236 wrt z?\nAnswer: 7397990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 981633, 981631, 981627, 981621?\n\"Answer: -l**2 + l + 981633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert c9c27a (base 14) to base 10.\nAnswer: 6833060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*p = -p + 50, -4*b + p = -37. Suppose 0 = z - 4*h - 4, -z + 5*h = -3*z + b. What is the first derivative of -5*o + z*o + 1 + 1 + 3*o wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*d - 117. Let k = d - 28. Suppose 5*b - c - k = -0*c, -b - 2*c + 20 = 0. Is b a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216696 is divided by 1747.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.338 + 0.04.\nAnswer: -0.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -46*n - 424. Let v(r) = 1. Let f(l) = d(l) + 5*v(l). Give f(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2396\/189 - -2\/189. Let k = i + 37\/3. What is the nearest to -2\/3 in 2\/19, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -678*w**2 + 2*w + 39615 wrt w?\nAnswer: -1356*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5 = -4*t - 3*q, -5*q = -4*t + 41. Calculate the remainder when t is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*v = 4250, 2*a - 4*v = -a - 12783. Let o be 4\/((-8)\/2) - 3 - a. Suppose 4*u = w - 2118, 0*w + 3*u + o = 2*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y**5\/7 + 124*y**4\/7 + 130*y**3 - 1192*y**2\/7 - 280*y = 0 for y.\nAnswer: -5, -1, 0, 2, 98\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 280*i**3 - 19*i**2 + 7*i - 4. What are the prime factors of k(2)?\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.628128 centuries?\nAnswer: 0.0628128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/5 - 787654*t**2\/5 + 77547096102*t\/5 + 542868268446\/5.\nAnswer: 2*(t - 196917)**2*(t + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 7:50 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 133 = -6*q. Suppose d + 5*w - 9 = 3, 0 = -2*d + 4*w + 10. Let p = 10 - d. Solve p = 4*g + q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3672.992ug?\nAnswer: 0.000000003672992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-3 - -4) + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -3. Let s = -6 - -2. Let f = s + 3. Sort u, f, 0 in decreasing order.\nAnswer: u, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2920\/(-10)*(-10 - -8). What is the greatest common factor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1150879841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12848 + 12848 - (-62 - (-2 + 1))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10336\/(-800) + 4\/(-50)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - 1 - (4 - 2). Suppose g*a = 3*a + 5. Suppose -a = -0*s - 5*s, f = 3*s + 50. What is the remainder when f is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 11. Let s be m(9). Suppose -4*u - s*a + 54 = u, 16 = 2*u - 2*a. What is the lowest common multiple of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t. Let u(c) = 13*c + 10*c - 26*c. What is u(f(o))?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5013.\nAnswer: 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 take away 6236?\nAnswer: -6235.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -y + h, -4*h = -17*y + 21*y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.32 + 0.3. Let x = j - -8.02. Let d = x - 5. Which is the third smallest value? (a) d (b) -1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38.9999998 + 39. What is w rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**4 + 9*z**4 - 4*z**4)*(-455 + 35*z + 455) + (-1 + 1 + 3*z)*(-23*z**3 - 25*z**4 + 23*z**3).\nAnswer: 65*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 7 + 10. Differentiate x + 4*c**2 + 2 + 1 - 5 with respect to c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2. Suppose 0 = v - 0*v - 3. Let o(u) = v*u**2 + 0*u**2 - 7*u**2 + 5*u**2. What is i(o(w))?\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1947.2 and 0.036.\nAnswer: 70.0992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*b**2 + 0 + 1 + 3*b**2 - 98*b**2.\nAnswer: -218*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 60*a**3 - 2*a - 1 - a**2 - 32*a**3 - 27*a**3. Determine k(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 9*j + 32. Calculate the lowest common multiple of v(-11) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*(-4 + sqrt(288)*-2 - 3*((sqrt(288) - sqrt(288)*1 - sqrt(288))**2 + sqrt(288))) + -1).\nAnswer: -17364 - 1200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/5 and 57*-1*4\/66.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -1)*(-678)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from seesegseggegszaggzzz. Give prob of sequence za.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -550.57165 to 0 dps.\nAnswer: -551","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4899 and 355.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20895889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1305*d**3 + 2744*d**3 - 2*d + 5096*d**3.\nAnswer: 6535*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -220 + 223. What is the second biggest value in 12, i, -3\/8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264498 and 546?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -3 + -2*9. Let x = -12 - h. Let k be x + (-1)\/(-3)*3. Solve 2*r = 3*o + 8, k = -2*r + 4*r - 2*o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 12, -66, -2 in ascending order.\nAnswer: -66, -5, -2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(4 + -3*(sqrt(17)*-1 + sqrt(17)) + -2*sqrt(68))*-2 + -5)*6)**2.\nAnswer: -148608*sqrt(17) + 1476612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.7 - -8.7. Put 1\/6, -0.2, w in descending order.\nAnswer: 1\/6, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y + 6. Let j be i(1). Suppose 5*p = 7*p + j. Which is smaller: -5 or p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1443 = -8*q - 435. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -199*t + 209*t + 630. Which is smaller: t or -185\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 104, 161, 216?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -0.23, -0.3, 1\/34 in descending order.\nAnswer: 1\/34, -0.23, -0.3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000593027955 rounded to seven decimal places?\nAnswer: 0.0000593","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 772 (base 9) to base 13.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-5))\/3 - 1262568\/(-620) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcj when three letters picked without replacement from ccrcxcjh.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 55*h**2 + 388*h + 570. Determine p(-47).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85\/((-27370)\/(-25484)))\/((-20)\/28) - (-3)\/(-15).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 92760450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/391 and 37\/9.\nAnswer: 3519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuukujhhhnuuj. What is prob of picking 2 j, 1 u, and 1 k?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 18*l**2 - 18*l + 19. Let r be ((-1)\/3)\/(5\/(-255)). Let j be u(r). Solve 4*m**2 - m**2 - 2*m**4 - m**j = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from oxjoojxoxjxjxoxxjjj?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 9*g + 10. Let w be j(-2). Sort w, 1\/7, 5 in ascending order.\nAnswer: w, 1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379031251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.709 * -33.\nAnswer: 89.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 6*l**2 - 6*l + 10. Let y be q(5). Suppose y*m = -91 - 119. Calculate the remainder when 148 is divided by (48 - 3)\/((m\/4)\/(-7)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -967629*0.2\nAnswer: -193525.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1136 is divided by 183.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 552283939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/7? (a) -2\/9 (b) -4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*(sqrt(1539) - sqrt(1539)*2)**2 + 4.\nAnswer: 6158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5287, -5290, -5295, -5302, -5311, -5322?\n\"Answer: -i**2 - 5286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) 6747 (b) -1\/11 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6436)\/(-4) + 28\/(-10) + (-52)\/260. What is the greatest common divisor of y and 7154?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4868601.000776 + 4868584. Let m = b + 17. What is m rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211326189.\nAnswer: 3, 19, 3707477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 0 + 0*g + 96*g**2 + 0*g**3 - 5\/2*g**4 - 1\/24*g**6 + 7\/12*g**5. What is s in h(s) = 0?\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 + 0.5. Suppose -4*p + 264 = 4*p. Let x be p\/55 - (-28)\/(-30). Sort -1, r, x.\nAnswer: -1, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -149*w**3 + 17*w**2 - 29*w - 688. Let r(v) = -50*v**3 + 6*v**2 - 10*v - 229. Let m(s) = 6*p(s) - 17*r(s). What is the first derivative of m(l) wrt l?\nAnswer: -132*l**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1409446 rounded to the nearest 10000?\nAnswer: -1410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7114 divided by 6\nAnswer: -3557\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5063\/4 at most 0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/7 - 10\/(-2). Suppose 0 = p*t + 3*f - 21, 6 + 5 = -3*t + 5*f. Find the second derivative of t*d - 3*d**2 - d + 5*d**2 wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m**2 - 34*m + 45. Give j(-10).\nAnswer: 985","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5702069 and 1373?\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*138\/69?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 8. Let p = 9 - 16. Let g be d(p). Solve 0 = -0*f + f - g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14024598 and -4?\nAnswer: 14024594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/1)\/(((-93)\/(-24))\/(-31)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**2. Let v(c) = -2*c - 1. Let l be v(-9). Let p(b) = 7*b**2 - 17*b + l*b. What is p(d(x))?\nAnswer: 112*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7675 - -12925. Suppose 2*m = 23*m - z. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.9 - -14. Let n = 0.1 - d. Let i = 40 - 81\/2. What is the closest to 2 in i, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7626362, -15252742, -22879122, -30505502, -38131882?\n\"Answer: -7626380*s + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 + (-27 - -36) - -19.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7999704313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38125 + 34884. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 3)*(3*c - c - c)*(-4899*c - 10246*c + 4771*c) as k*c + m + w*c**2 and give w.\nAnswer: -20748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/5 - -2)*-718. Suppose 3*j + 190 = p. Calculate the greatest common divisor of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 2. Let x(u) = 2*u**2 + 3. What is 8*g(q) + 5*x(q)?\nAnswer: 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3577, 7116, 10655?\nAnswer: 14194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 764\/105 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15739 - -15735. Let o = -2356\/11 - -214. Which is the second biggest value? (a) x (b) o (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1355 + 2367. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, a: 1, k: 2, y: 1, d: 2, n: 1}. Give prob of picking 1 y and 1 k.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4c9d + 2?\nAnswer: 4ca0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k**2 - 1. Let f be z(-10). Let a = f + -306. What are the prime factors of a?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 4*w + 4. Let g be z(4). Suppose -113 - 7 = -f - g*i, 229 = 2*f - 3*i. What is the remainder when f is divided by 47?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 41*d - 3. Calculate y(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * 0.17\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 922 - 2767\/3. Let x = -14 - -1. Let w = 19 + x. Which is the biggest value? (a) 0.5 (b) 2\/5 (c) w (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + -44.4. Which is the smallest value? (a) -0.5 (b) h (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16863967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -1, 158 in descending order.\nAnswer: 158, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 7 = 422*f - 426*f + 1, -2 = -i + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 22*p + 779. Give r(17).\nAnswer: 694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 11\/207923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41.82859*0.01.\nAnswer: 0.4182859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, -2\/7, 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-12)*6)\/((-1)\/(-7)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4008821.\nAnswer: 17, 235813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeez when four letters picked without replacement from {z: 3, e: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3 + 18 = -5*g, g - 1 = -5*i. Suppose 0*h - 2*h + 4 = 0. Let m = h - i. Sort -1, m, -3.\nAnswer: -3, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 1:00 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**8\/6720 - r**5\/40 - r**4\/12 - 2*r**2. Let c(s) be the second derivative of u(s). Differentiate c(i) wrt i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2181*b = -5143*b + 3120*b - 3313*b - 105238 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 548*u**2 - 224*u**2 - 78*u**2 - 2*u + 5 - 107*u**2 wrt u.\nAnswer: 278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from {p: 3, d: 3, k: 2, o: 1, w: 1, v: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7147\/(-3276) - (-4)\/26. Let k = -7\/72 + t. What is the common denominator of k and 113\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**4)\/j)\/(j*j**(-14)\/j))**37 assuming j is positive.\nAnswer: j**370","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2520 and 3441.\nAnswer: 2890440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 + s. Suppose 2*c - 20 = -22. What is the least common multiple of 4 and d(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*j**3*o**2 + 12*j**3 - 358*j*o**4 + 229*j wrt o?\nAnswer: 10*j**3*o - 1432*j*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 0 + (-2)\/(-6). Let p = -36 - -41. What is the second smallest value in p, v, -1\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-7 + 6 - 6) + 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1504633 is divided by 633?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*1*3)\/sqrt(700).\nAnswer: 3*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + 15. Let y be (w\/5)\/2*-25. What is y rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03 from -25.682.\nAnswer: -25.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 854*m + 2092. Is s(4) a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4, 4, 16, 32, 52?\n\"Answer: 2*v**2 + 2*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -19 - 31. Factor -2*f + 2*f**4 - f**4 - n*f**3 + 21*f**3 + 5*f**2.\nAnswer: f*(f - 2)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 7 = -5*v, -2*a + 4*v - 3 = -1. Let t be (7 - a) + 162\/(-27). Solve -h - 3*b + 2 = t, -2*h + 2 = -7*h - 3*b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 4*j - 162, -3*r + j - 130 = -26. Let t(v) = v - 5*v - v - 7*v - 11*v. Let f(i) = -4*i. What is r*f(n) + 6*t(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by -1.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74221 - 50375. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o = -2*u + 7994, 0 = -5*o - 3*u + 9990. Let x = o - 1184. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23 and 6?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(1\/9)*x\/((x**(-1\/25)*x)\/x) assuming x is positive.\nAnswer: x**(484\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5525, 1, 2\/63, -1, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-636)\/(-1113)*(-2)\/12\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**4\/4 - 5*t**3\/2 - 15*t**2\/2 - 37*t + 2. Let j be n(6). Solve j*b = 5*f + 7, 4*b + b + 7 = -f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - a = 8, -6 = -a - 9. Put 6, q, -2 in ascending order.\nAnswer: -2, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51980 is divided by 17292.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(315)*-3)\/sqrt(9))\/(-1*sqrt(700) - sqrt(112)*5).\nAnswer: 3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 210519*f + 3999866. Determine t(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 22, 2.\nAnswer: -2\/15, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.86 + 9.56. Let m = z - 7.70056. Round m to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -729779, -729587, -729395, -729203?\nAnswer: -729011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = -x - 82 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*j + 214 - 214)*(-2*j + 2 - 2)*(-48*j + 46*j + 89*j).\nAnswer: 10788*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -600 = -g + 589. Let r = 100 + -97. Suppose -i + 267 = -2*v - 926, g = i - r*v. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*h + 6 = -20 - 26. What is the biggest value in -2\/3, 0.5, 166, h, 0.3?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.1 + -2.58. Let p = i - 0.22. What is the second smallest value in 0.1, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1046 is divided by 203.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 6. Let z be 4\/8 + (-5)\/l. Suppose -z*b + 547 = 169. Calculate the greatest common factor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 8:49 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -12. Let k be z\/3 + (-2)\/(-6). Let s be 22\/(-8) + (-2)\/k. Sort 2, 0, s in decreasing order.\nAnswer: 2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.32 + -0.32. What is the fourth biggest value in -0.1, 2\/7, h, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 7*q - 10. Let d be a(4). Calculate the lowest common multiple of 7 and 168\/112 - d\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**3 - 195*a**2 + 1575*a + 6615 = 0.\nAnswer: -3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + 1*sqrt(567))**2 - sqrt(7)) + (sqrt(105)\/sqrt(5))\/sqrt(3).\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**(-1\/2)\/n))\/n)\/((n*n**(2\/13)*n)\/n))\/(n**(-6)\/n**(3\/10)) assuming n is positive.\nAnswer: n**(432\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/(-15) - 5)\/(5 + -2)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r. Let i(t) = -1180*t - 1179*t + 2331*t. What is i(j) + 6*m(j)?\nAnswer: -34*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 526 - 276. What is the greatest common factor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 196212 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 1:34 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212030 + 10?\nAnswer: 212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.111 (c) 4\/33 (d) -137 (e) 2.1 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 + 4*s - 61. Calculate the remainder when j(-12) is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00031707 to six dps.\nAnswer: -0.000317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 546 and 567623238.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 10:44 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71389622?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2196 is divided by 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 1. Let m(j) = -1. Suppose -3*h = g + 16, h - 13 = 4*h - 2*g. Let w = h - -3. Give w*m(c) + 2*z(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/7))**3)**(-30)*(v**(2\/3))**32\/((v\/(v*v**2))\/v**(2\/13)) assuming v is positive.\nAnswer: v**(13432\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 90452987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -z + 18. Suppose 3*j + j + 4*v = 64, 3*j - 3*v = 30. Let k = z - j. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-968)\/72)\/11 + (-2)\/(-2)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 243 + 23 - 140*a**2 - 66*a**2 + 16*a. Let x(w) = 69*w**2 - 5*w - 89. Let s(b) = -5*p(b) - 16*x(b). What is the first derivative of s(q) wrt q?\nAnswer: -148*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 34\/(-20))*20\/(-30).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**5\/5 - 966*a**4 - 26*a**3 - 2*a + 4193. Find the third derivative of g(v) wrt v.\nAnswer: 24*v - 23184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5567 = -3*q - a, -q - 581 = -4*a - 2415. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222 - 111120111?\nAnswer: -111122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/12 + (-19)\/(-4). Let b be 0 + 5*2\/5. Solve p = b - k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + t)*(2 + 0 + 0)*(-1235*t + 1923*t - 5029*t).\nAnswer: -8682*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(4*(sqrt(5) + sqrt(45) - sqrt(5)) - sqrt(5)).\nAnswer: sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 - 6*v**2 - 25*v + 23. Is r(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10447 is divided by 1741.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/4 - 5059407*y\/4 - 5059413\/2.\nAnswer: 3*(y - 1686471)*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - t = -6*t + 82, -l + 22 = 3*t. 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: What is the value of 36 + 3 + (3 - (12 + -2) - -7)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*s**4\/3 - 2876*s**3\/3 + 9956*s**2\/3 + 1448*s - 8544 = 0. Calculate s.\nAnswer: -3\/2, 2, 3, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 132543 to the power of 1\/2, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-446)\/136 - (-32)\/16 and -19\/4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 13*b**2 + 8. Let d be t(13). Let m = d - 8. Solve 0*r + r - 4 = m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/6*15\/25. Let s = v - -13\/10. Let r = -3 + 4. Which is the closest to -1? (a) r (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72112*g + 7360 = -71928*g for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*t + 4*t. List the prime factors of 55*((-3)\/5 - t).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 1909*w**2 + 1048615*w + 178006707.\nAnswer: (w + 401)**2*(w + 1107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) 0 (b) 0.1 (c) -3\/131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 232 - 232. Which is the third biggest value? (a) w (b) -4 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -176.\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/3)\/o*o)\/o**(-1))\/(o**1)**49*(o**(-4)\/o**(-4\/7))\/(o\/o**(-3)*o**(-2\/5)) assuming o is positive.\nAnswer: o**(-5743\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6*n + m + 4 = 0, 5*n - 2 = 3*m. Suppose 6 - 21 = -5*h. Put h, n, -4 in decreasing order.\nAnswer: h, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 - 58*c + 703. Give b(15).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 1:39 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 12 = 2. Let q(v) = 9*v - 7. Let b(g) = -5*g + 4. Determine i*b(o) - 3*q(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213517, 854118, 1921787, 3416524, 5338329?\nAnswer: 7687202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47854395 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (6 + -6 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 6*o + 9. Let p be r(10). What is the remainder when 2\/(2 + -3) + p is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 761796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 + -57. Let y = -9 - -9.07. Let v = y - -4.93. What is the nearest to -0.1 in 2\/5, o, v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2059026 is divided by 43.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**2 - 37*d*l + 84*l with respect to d.\nAnswer: -2*d - 37*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/5 of a week?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 80*a - 36. Is 57 a factor of o(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**5\/9 - 93050*u**4\/9 + 434318*u**3\/3 - 6422102*u**2\/9 + 13030720*u\/9 - 1034200 = 0.\nAnswer: -46539, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -15823*i - 63288. Give m(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -639 = 120*f - 121*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -367 + 964. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/8*909160\/573 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 26*t - 6726 + 6752, -2*n = -4*t + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 431 and 606.\nAnswer: 261186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 901058867 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.4 + -6. Let a = -16.9 - -17. What is the closest to a in 1\/2, i, -1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.83879 - 0.045\nAnswer: 8.79379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3.7355 + 3\nAnswer: 6.7355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 6*o**2 - 9*o - 21. Let v be k(9). Let n = 148 - v. Solve -12 = 2*m - n*m - t, 2*m = -5*t + 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2177 = -6*r + 293. Let o = -308 - r. What is the highest common factor of o and 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 80?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 0 + 2)\/(-1). Let i(k) = 4*k + d - 5*k + 8. What is the units digit of i(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52433 (base 13) to base 15\nAnswer: -2dc62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1835 a factor of 570969425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 287*p + 20 - 44 + 24 - 762*p to k*p + i and give k.\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1031 or -1030?\nAnswer: -1031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and 1038.49.\nAnswer: -62.3094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100 - -95. Let j(p) = -p**2 - 7*p + 2. Let k be j(u). Let t = 16 - k. Solve 0 = t*y + x + 19, 3*y = -x - 19 + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17538 = -200*h - 2168*h - 6595 + 50625 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 5*p - 53, -5*i - 3*p + 2*p + 61 = 0. Let r(u) = 12*u**2 + 2*u - 36*u**2 + i*u**2 + 13*u**2. Calculate r(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*((-21)\/3 - 2). Let y(o) = o**2 + 7*o + 1. Let t be y(-8). Let s = i + t. Solve s = -10*b + 5*b - 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, h: 2, e: 4}. Give prob of picking 2 m and 1 h.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 275946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 17402234068.3.\nAnswer: 17402234067.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2548 and 15582?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10710 and 24?\nAnswer: 42840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 2, -5*s - 5 + 3 = -3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**2 + 5*h**2 + 5*h**2 - 16*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 9. Let j be y(-6). Suppose -4*c = 2*k - 190, -101 - 153 = -5*c + j*k. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -377*y - 856. List the prime factors of o(-8).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, g: 4}. What is prob of sequence gpg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*c**3 - 56*c**2 - 56*c + 64.\nAnswer: -2*(c + 2)*(c + 8)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 462 and 153?\nAnswer: 23562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/5 and -15\/217.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -322?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (-1 + 0)*-1. Suppose -2*p + t = -6, 0 = -y*p + p + 3*t + 10. Find the third derivative of 0*x**5 - 4*x**5 - x**5 + 2*x**2 + p*x**2 wrt x.\nAnswer: -300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 4*h + 6 = 2*q, 3*q + 3*h + 27 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6579 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 0, 131, -5\/9, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -12.9999993. What is o rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 35*u**2 + 233*u + 51. Calculate l(15).\nAnswer: -954","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350313 (base 6) in base 10?\nAnswer: 76581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 5:47 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11030933?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 9:08 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-8))\/(1*1\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 211952364?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-3) - 4 - (-243 + 0). Suppose 0 = -7*i + i + r. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2623*r + 18362. Determine b(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1 (b) 10 (c) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 25*k**2 + 24*k + 52. Let n be z(26). Solve -h - 3*h + 12 = n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1351296 and 470016.\nAnswer: 10810368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.99 and 11?\nAnswer: -21.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -0.1, 117, 1\/2, 0.28, 16\/3 in decreasing order.\nAnswer: 117, 12, 16\/3, 1\/2, 0.28, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 9*g + 10 = 0, -3*g = -4*p + 10. Suppose q + 815 = -p*q. Let a = q - -250. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1170 - -775769382.\nAnswer: 775768212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 126*v - 227 = -15*v + 427, 40 = 2*h + v for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19532844 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 5*m**2)*(-350 + 350 - 67*m**2) to the form h + y*m**2 + v*m**4 + n*m**3 + l*m and give v.\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**3 + 1860*z**2 - 288300*z + 14895500 = 0. Calculate z.\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 26 - 37 + 3 + 0*m + m. Calculate p(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 5) + 2 - (2 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2409704926.\nAnswer: 2, 71, 79, 214807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 3 + 3)*(5 - 5 + 5)*(-u - 8*u - 5*u).\nAnswer: 140*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 18, -20?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 5*m + 11. Let a be h(2). Let x(f) = 7*f - 4. Let j(v) = -v - 1. Let l(w) = 2*j(w) - x(w). Is l(a) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + u + 12 = 0. Suppose 3*x + 6 = -2*y, -y - 4 = 3*y + u*x. Let a(j) = -j + 6. What is the remainder when 7 is divided by a(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 1, -28, -3 in descending order.\nAnswer: 45, 1, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, v: 7, t: 3, n: 6}. What is prob of sequence vpvp?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.12, 0.5, 5, 2\/3?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 1. Suppose 1 = -3*n + 7. Suppose -n*u = u + 24. What is the remainder when p(u) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l - 182 + 470 = 0. Solve 63 = l*v - 81 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370628\/3 smaller than 123542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 134678, 134673, 134666, 134657, 134646, 134633?\n\"Answer: -s**2 - 2*s + 134681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y - y + 4*y + (-1 - 4 + 3)*(-8*y + y + 2*y)*(-4 + 0 + 2).\nAnswer: -19*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 2, s: 1, d: 1, y: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5*h - 30 = -4*i, 0 = -4*i - 4*h + 12. Let r(q) = 5*q**2 + 6*q + 4. Let s be r(i). Suppose -s = 3*t - 6*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 12:31 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5392680.\nAnswer: 2, 3, 5, 44939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -30*p - 3. Let x(a) = 10*a + 1. Let w be (-1*3*(-21 - -4))\/3. Let f be ((-27)\/6)\/(6\/(-8)). Let n(o) = f*l(o) + w*x(o). What is n(2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1856400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n + 1006 - 3189 = 52*n for n.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10906 - -119964\/11. Which is the nearest to 2\/3? (a) q (b) -80 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by 66?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.56, 4, 0.3, 10\/201?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -7*z**5\/60 - 5*z**4\/24 - 3*z**3\/2 - 11*z**2. Let y(k) be the first derivative of s(k). Differentiate y(d) wrt d.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 35043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74233467 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 11, -2.\nAnswer: -2, 0.9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d*w**2 + 4*d*w + 9*d - 2*w**5 - 2*w**2 + 2*w wrt w.\nAnswer: 6*d - 40*w**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42\/13? (a) -2\/15 (b) -2\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.321.\nAnswer: -1.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4055 is divided by 4050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-3\/2))**(5\/3)\/((u\/u**11)\/u**(-1\/7)) assuming u is positive.\nAnswer: u**(589\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-6)*24\/(-16). Does 5 divide a\/1 + 14 + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-18) + 32\/(-18). Let g = u - -14. Solve -3*k + g = -0*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 572\/299 + 5 + 4\/46. Let k(x) be the first derivative of 0*x**2 - v*x - 7\/3*x**3 + 11. Differentiate k(a) with respect to a.\nAnswer: -14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1732796832 by -6.\nAnswer: 288799472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008466989 rounded to 6 dps?\nAnswer: 0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y + 6*y + 3*y + (1 + 3 - 3)*(y - 2*y + 3*y) + 75 - 163*y - 75.\nAnswer: -156*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2756755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 22*r - 34. What is the tens digit of l(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -386101080 divided by -9\nAnswer: 42900120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 76*f + 807 + 33 = 0, 9 = -m - 3*f - 4 - 19 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, j: 1, w: 2, o: 2}. What is prob of picking 1 w and 1 j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) 269 (c) -0.5 (d) 118\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.4, 212, -2\/17, 11 in descending order.\nAnswer: 212, 11, 2, -2\/17, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 0) + (-3 - -8). Suppose -55 = -r - n*r. Solve -r = j - 0*w + 5*w, 8 = 2*j - 5*w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 165748932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*d = 7*d - 3968. Is d less than or equal to -383\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 377*g**2 + 28*g - 28*g - 375*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -2)\/((-2)\/2). Let l(f) = 13*f - 41. Let w be l(7). Let x = 73 - w. Solve g = 5*z + 4*a + x, 4*z + z + 11 = 2*a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.4 - -3. Let i = -1.4 - p. Let b = 3 - i. Sort -0.4, b, -2\/9 in descending order.\nAnswer: b, -2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 185810 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + (2 - 1) + 15\/(-15). Let c be (2*-1 + -4)*1. Which is bigger: c or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -2.1, 2, -3\/31, 0.2, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 4, -15\/217, -22?\nAnswer: -15\/217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1c06c (base 16) to base 15\nAnswer: 24031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94411, -3\/2878, -2\/3 in descending order.\nAnswer: 94411, -3\/2878, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-2 + 2 - -3) + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -5. Let l be 0 + (-3 - -4) + x. Let k be l\/6*(-60)\/(-8). Solve -5*h - 20 = f, -k*h = 4*f - h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(912))\/(-2*sqrt(108)))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20691 = 14*h - 71*h. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**2\/2 + 6*z - 45. Give v(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + -1 + 1 - sqrt(13)) + sqrt(39)\/sqrt(3) + 2)**2.\nAnswer: 4*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((27\/6)\/(-9))\/(25\/10)*-55?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (3 + 1 + -7 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1030475 is divided by 3031?\nAnswer: 2966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - (21 + 2 - 30)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*z + 2706 = -1712 - 1937 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 30*w**3 + w**2 + 2*w - 2. Give y(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 291434267 and 317?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346403155?\nAnswer: 5, 7, 19, 193, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmqbkmog. Give prob of picking 1 q and 1 m.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*c = c - 20, 4*z - c - 15 = 0. Suppose i + 65 = 5*n + z*i, -2*i - 26 = -4*n. Suppose -h = -5*o + 267, o + n*h - 4*h = 43. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -132 + 531\/4. Let t be (-2)\/(-7)*30\/8. Let i = 9\/28 - t. Which is the closest to -1? (a) i (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2825.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/27 + 409\/99 + 3114\/34254.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*-2*(-55)\/11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + 6. Let g = -14 + z. Let i be (-1 - (-25)\/15)*18. Solve -h + i = g*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*f - 5*i - 393, 3*f - 1107 = -3*i. Let k be f\/(3\/(0 - -3)). Suppose 5*c = 3*d - 6*d + k, 0 = -2*c + 4*d + 170. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 - -2 - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyl when three letters picked without replacement from {y: 4, l: 10}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26.94 + 0.14. Let b = v - -26.5. What is the smallest value in -1\/2, -100, b?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n**3 - 23*n**2 - 20*n - 4. Let f(t) = 3*t**3 - 11*t**2 - 10*t - 2. Let m(z) = -2*d(z) + 5*f(z). Let x be m(10). Do -3 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*j + 4, 4*i - 4*j + 16 + 12 = 0. Let h(c) = -23 + 12 + c**2 + 7 - c - c. Let t = -9 + 13. Let s(a) = 2*a**2 - 2*a - 5. Give i*h(l) + t*s(l).\nAnswer: 3*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1199635 is divided by 20683?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 11:08 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (11 - 22) - 32 - -61.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000068725 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 25020 divided by 3\nAnswer: 8340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 27. Sort -1, -0.1, j.\nAnswer: -1, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3942040, -3942041, -3942042, -3942043?\n\"Answer: -b - 3942039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1737\/4 or -435?\nAnswer: -1737\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15355, -29673, -43953, -58189, -72375, -86505?\nAnswer: -100573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 10*b - 2900. What are the prime factors of b?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a day in minutes?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -34, -30, -24, -16?\n\"Answer: y**2 + y - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m - m)*(69 + 92 - 32) - 2*m + 4*m + m.\nAnswer: -126*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 0*k - 5*k + 2*k. Let d(a) = 29*a + 2. Let l(c) = -60*c - 5. Let o(s) = 5*d(s) + 2*l(s). What is n(o(q))?\nAnswer: -75*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*2\/20)\/((-6)\/(-8))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 10 = j + l, -j + 5 = -l. Suppose 0*r + 45 = 4*b + r, -21 = -b + j*r. What is the remainder when 35 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -6.2. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6566 and -17.4.\nAnswer: -114248.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - y. Let a(l) = -7*l**2 + 2*l. Suppose -4 = -2*c - 12. Give c*v(r) - a(r).\nAnswer: 3*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36945 - 25356. List the prime factors of r.\nAnswer: 3, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4 = -7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4113 - 4115. What is the closest to 1 in -0.05, -0.5, k?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 512*s**6 + 3*s**2 - 2*s + 5373. Find the second derivative of c(k) wrt k.\nAnswer: 61440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a**3 + 3*a**2 - 2*a + 6. Let f be w(-3). Suppose -3*v = 4*i - f, 0*i + v - 211 = -4*i. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9799 or -27?\nAnswer: 9799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*n**2 - 1\/2*n + 3\/4.\nAnswer: -(n - 1)*(n + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - s + 1. Let y be k(-2). Let p = -10183 - -10186. Solve p*t + y = -2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16\/153 + -2\/17. Let g = -4 - -1. Let x(n) = 2*n - 16. Let j be x(6). Which is the closest to -1\/2? (a) o (b) j (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1 + 4*o**2 - 2*o - 3*o**2 - 4. Let j be u(4). Let q(l) be the first derivative of l**3\/3 - 2*l**2 - 3*l + 4. Determine q(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffffff. Give prob of picking 4 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6961 (base 11) to base 7\nAnswer: 35440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z - 1. Let c(q) = 9*q**3 - 2*q + 1. What is the least common multiple of i(1) and c(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -276*n**5 + 998*n + 199*n**5 + 0*n**2 - 15*n**2 - 426*n**5 - 987*n wrt n.\nAnswer: -30180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -604 + 809. What is the remainder when t is divided by 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l + 2*l**2 - 2*l - 4 - 2*l. Suppose -2*n - 3*a - 2 = 0, -9*n - a = -6*n - 11. Is j(n) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 3*k, -194704*z + 194699*z = -4*k + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from httmhfmtmmhff. What is prob of sequence htf?\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/102)\/((-45910)\/(-330552)).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-12))\/(2*(-3)\/60)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 8. Let b be t(6). Suppose -11 = 3*a - 2*m - 30, -5*m - 50 = -5*a. Sort 9, a, b.\nAnswer: a, b, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*1 - 11\/((-176)\/36)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14017 to the nearest one hundred.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 53 divided by -2\nAnswer: -53\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 6) + 4 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 2403*j + 60 - 21 + 49*j - 21.\nAnswer: 2452*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 418 = f - 5*f, 0 = -2*f - 6. Suppose 11*w - 16*w + g = 0. What are the prime factors of w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 998 and 1291911.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*f - 32, 183*f - 8 = 4*k + 181*f. Determine j so that 13\/4*j**3 + 3\/4*j**4 + 3\/2 - 29\/4*j**k + 7\/4*j = 0.\nAnswer: -6, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -2, 0.3, 64 in decreasing order.\nAnswer: 64, 13, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684)*3)**2 - sqrt(19))*6 + ((sqrt(228)\/(sqrt(36)\/sqrt(3)) + sqrt(19))*6)**2 + 3.\nAnswer: -6*sqrt(19) + 39675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1688161\/3703140 - 7\/14695. Calculate the common denominator of 97\/1008 and m.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s**3 - 6*s**2 + 23*s + 5. Let c be v(15). What is c rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010010 - 11010101101111?\nAnswer: -11011101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-3 - -2) - -4. Let z(h) = 80*h**2 - 2*h + 1. Is z(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12468\/211 + 4181643\/59080. Let h = -82\/7 + t. Which is the fourth smallest value? (a) 0.2 (b) -6\/7 (c) -0.4 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66995740283906*u**2 + u**3 + 66995740283906*u**2.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 29*q - 17*q. What is the smallest common multiple of 370 and q?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k*n**3 - k*n**2 - 2*k*n - 399*k + 2*n**3 + 403*n**2 + 4 wrt n.\nAnswer: 12*k*n - 2*k + 12*n + 806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 15942*t - 142. Let q(c) = -4*c + 2. Determine g(q(p)).\nAnswer: -63768*p + 31742","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 + 750*u**2 - 4 + 4.\nAnswer: 755*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -80*h + 37. Let v(z) = -559*z + 258. Let n(b) = -6*v(b) + 43*x(b). List the prime factors of n(-4).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(2\/(3*2\/4))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9064.612 millilitres to litres.\nAnswer: 9.064612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 9\/191?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 - 7*b - 67. Let p be d(-17). Let v = 898 - p. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23432531 (base 7) to base 15.\nAnswer: 2aee12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7053 or -242?\nAnswer: 7053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.55 + -0.05. Let l be (1\/(-2) - -2)\/(2\/(-4)). What is the smallest value in w, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(12\/(-8))*3\/10\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 3:04 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -167528232 > -167528237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 912\/1064*540\/(-162).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100 + -105 + (12 + -2 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*a = -1. Let k = -7.7 + 8. Let n = 0 + k. What is the smallest value in -0.2, a, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 25398960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 8 = -5*m + d, -2*m + 4 = -2*d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-23)\/((f*f\/f**(2\/3)*f)\/f)*(f\/(f**23\/f))\/((f*(f\/(f\/((f**(-11)*f)\/f)*f*f))\/f*f*f)\/f))**(-1\/16) assuming f is positive.\nAnswer: f**(25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u - 16. Suppose -4*o - 1 = -9. Let b(k) = k - 5. Let d = -14707 + 14700. Calculate d*b(g) + o*f(g).\nAnswer: g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 42122109310 to the nearest one million.\nAnswer: 42122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -534 + 533.92. Suppose 4*d + d - 15 = 0. Suppose 2*m = v - d, -2*v - 3*m - 6 = -5*v. What is the closest to v in 0.2, i, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 42*x**2 + 333*x + 129. Calculate b(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**4\/g)\/(g\/(g\/(g\/g**(2\/9))*g)))\/((g*g**(-27)\/g)\/((g*g**(-30)*g)\/g)) assuming g is positive.\nAnswer: g**(11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 8*z**2 - 6*z + 8. Let d(w) = w**3 - w**2 + 306*w + 616. Let v be d(-2). What is r(v)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/31? (a) 0.5 (b) 1\/95 (c) 4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + -13dc818?\nAnswer: -13dc826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (792\/44)\/(((-26)\/(-8))\/13*6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - c + 1309 = -3*q, -3*c = 15. What is the least common multiple of q and 20?\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -148 + 148. Let d be (-187)\/(-363) - (h + (-3)\/(-9)). What is the closest to d in -2\/7, 1\/3, -1\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9166301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + u + 699. Let s be q(0). Suppose -3*h + 0*h + s = 0. Let x = 356 - h. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a centimeter in millimeters?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47462879?\nAnswer: 29, 1636651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 3*a. Let r(s) = -6*s**3 - 17*s. Let v(q) = 11*c(q) - 2*r(q). Let n(l) = 4*l**3 + 8*l + 5. What is n(b) - 5*v(b)?\nAnswer: -b**3 + 3*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 330922?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*b**2*d**2 + 4*b**2*d*k**2 + 3*b**2*d*k - 7*b*d**2*k**2 + b*d**2 + 2*d**2*k**2 + 3 wrt b?\nAnswer: -14*d**2 + 8*d*k**2 + 6*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5775 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.104842 times 0.148?\nAnswer: 0.163516616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 12*h - 183. Let z be x(18). Solve -4*a + 12 = 2*j, -3*a + z = -5*j + 11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191610131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*m - m. Suppose q + m = 27. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 2024\/36 - (55\/45 + -1).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + c + 1. Let o(v) be the second derivative of 5*v**4\/12 - v**3\/2 - 5*v**2\/2 - v + 1639. What is 4*a(f) + o(f)?\nAnswer: f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4\/9 - 280*i**3\/9 - 838*i**2 - 53420*i\/9 - 114800\/9 = 0. What is i?\nAnswer: -14, -5, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 3*f**2 - 601. Give k(0).\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkcc when four letters picked without replacement from kcscnknnmkscnckkckn.\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(((r**(-26)\/r)\/r)\/r)*r)**(-49))**(-2\/149))**(-46\/5) assuming r is positive.\nAnswer: r**(-139748\/745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 922615963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 691339 = -32*f + 3131964 + 943407. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1450503757.9999971 - 1450503685. Let i = -4.88 - 68.12. Let d = i + x. What is d rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + -17 + 34 + 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-13)\/r))\/r*r*r*r\/r**(1\/14)*r*r*r**(-1\/14)*r**(-32) assuming r is positive.\nAnswer: r**(-92\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 54*g**2 + 12*g + 26. Suppose 2*q = -5*n - 0*q + 103, 2*q + 49 = 3*n. Calculate the remainder when m(-2) is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118.019 + -0.019. Let s = u + -116. Suppose 4*r + l - 59 = 0, 10 = 2*r - 5*l - 25. Sort r, s, -5 in descending order.\nAnswer: r, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**8\/168 + f**7\/105 + 23*f**2. Factor r(j).\nAnswer: 2*j**4*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 2484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 341139777 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42565326*b**3 - 2*b**2 + 12549*b - 178 wrt b?\nAnswer: -255391956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -191297, -191328, -191365, -191408, -191457, -191512, -191573?\n\"Answer: -3*y**2 - 22*y - 191272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.0250219?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 21*r**2 - r - 1. Let b be -21 - (-4*1)\/4. Let q be (-3)\/15 - (-16)\/b. What is the tens digit of k(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*j - 0*t + 2*t, j = -t + 16. Calculate the highest common divisor of 21 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 29*a. Let n(w) be the third derivative of w - 2*w**2 + 0*w**3 + 0 + 1\/8*w**4. What is d(n(i))?\nAnswer: 87*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10105 by 4.\nAnswer: 10105\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 224359 * 31.1.\nAnswer: 6977564.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/sqrt(45))\/sqrt(9).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.2 - -13. Let q = t + -3.8. Put q, 2, 3 in ascending order.\nAnswer: q, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhhh when four letters picked without replacement from qhhhhbrhh?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -38. What is the closest to 2 in 4, q, -1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -7 - 8) + (0 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 9 = 8*g. Suppose -3*n + g*t = -t + 4, -t + 12 = 2*n. Solve -12 + n = 4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 20 = 0, -5*q + 3*x + 155 = -0*x. Let a = -31 + q. Let n(u) = 4*u**a - 2*u - 3*u**3 + 2*u**2 + 3*u + 2*u**3. Calculate n(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3*j - 2*j - 524, -452 = 4*j - 5*g. Let f = 973\/9 + j. Is f smaller than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 924, 1549, 2174, 2799, 3424, 4049?\n\"Answer: 625*f + 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*o + 11, 4*o - 112 - 7 = -5*d. Suppose -5*y + d = 7. Suppose 3*v - y*v + 31 = 0. Is v a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*h + q - 270 = 121*h, h - 274 = q. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7914\/(-99) - 1 - (32\/396)\/(116\/87)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591311?\nAnswer: 7, 17, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2985119 and 5.\nAnswer: 14925595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 - 59. Let s be (-6)\/x - 9\/(-21). Suppose s = -0*t + t - 4*p - 6, 3*p + 11 = 4*t. Solve -2*v - 8 = t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(2\/17))\/(j*j*j\/(j*j**(-33))))\/(j\/j**(-7))**(2\/119) assuming j is positive.\nAnswer: j**(-3929\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 340*a**4*j*u + 2*a**2*j + a*j*u + 34*j*u - 2*j - 2 with respect to a.\nAnswer: 1360*a**3*j*u + 4*a*j + j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 10*p - 13*p - 177 = 0, -5*g - p = -313. What is the remainder when 208 is divided by g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3.664 (b) -1\/2 (c) 43 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 10*x**2 + 8*x + 9. Suppose 6*y - 9*y + 45 = 0. Suppose 0 = 4*p - 4*u - 20, 3*p + y = 2*p + 5*u. Is a(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77879368 to the power of 1\/2, to the nearest integer?\nAnswer: 8825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 18*n = 187. What is the least common multiple of (n - -65)*(1 - 0) and 7?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 291.00279 months?\nAnswer: 24.2502325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 6 + 3 + -3. Suppose -w = -b*w + 8. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -25. What is the greatest common factor of 6 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -84, -96, -108, -120, -132?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 6) in base 3?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2894 + 1665. What is the highest common divisor of 97 and z?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*r + 21*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10 + 0*g - 4*g + 3*g + 0*g. What are the prime factors of q(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -6940*c + 125594. What is r(18)?\nAnswer: 674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 7 + -37 - ((-52 - -88) + -11).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*69\/(-2)*2789\/((-1798905)\/(-3870))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + j**2 - j + 3. Let v be s(-3). Let b(o) = o**2 - 15*o + 15. Let w be b(14). Let u = w - v. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + r)*(-24*r + 5*r - 4*r + (-1 + 2 + 1)*(2 - 2 - r)) as b + q*r**2 + o*r and give q.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121 - 26. Let x = 674 + f. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90928 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 81 + -16. Suppose 20 + b = v. Suppose u + 5*c - 7 = 0, -28 = -2*u - 0*c - 3*c. What is the highest common factor of v and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.049467 - 854.\nAnswer: -854.049467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.15 + -2.15. Let a be 1\/(-1 - (3 + -9)). Sort 5, k, a in descending order.\nAnswer: k, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 2*k**2 - k**2)*(-2010*k - 80*k**2 + 2010*k)*(-4 + 4 - k).\nAnswer: -80*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**2 - 3*i**2 - 35*i**5 + 424*i**5 + (0*i + i - 5*i)*(2*i**4 - 2*i**4 + 2*i**4).\nAnswer: 381*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 172902 + -5?\nAnswer: 1728ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j*p**2*z**2 + 2081015*j*p*z**2 + 5*j*z**2 - z**2 - 115*z - 100 wrt p.\nAnswer: 4*j*p*z**2 + 2081015*j*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*h + 34, 3*h - h + 3*r = 26. Calculate the smallest common multiple of h and 38.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 739, 1635, 2475, 3265, 4011?\n\"Answer: g**3 - 34*g**2 + 991*g - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131174953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -162460, -324903, -487326, -649729, -812112, -974475?\n\"Answer: 10*l**2 - 162473*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 7*j**2 + 13*j + 1. Let t be w(3). Which is the closest to -2? (a) 0 (b) t (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a + 7. Let q(u) = u + 1. Calculate 3*k(f) - 24*q(f).\nAnswer: -3*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2068\/7 + 296. Let q be (-24)\/(-40) - (-818)\/70. Determine n so that v + q*n**3 - 48\/7*n**2 - 2\/7*n - 40\/7*n**4 = 0.\nAnswer: -1\/4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**3 + g**3 + 5*g**3)*(1 + 5750051*g**2 - 3*g - 5749513*g**2 + 3).\nAnswer: 538*g**5 - 3*g**4 + 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzyyzzzz. What is prob of picking 1 y and 2 z?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04354782 to five dps.\nAnswer: -0.04355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -85 (b) 3 (c) -13080\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - -6*sqrt(10)*1)\/(2*sqrt(10)\/sqrt(2)) - 1*3*sqrt(162)*3.\nAnswer: -155*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**3\/2 + 465*j**2\/2 - 231*j = 0. What is j?\nAnswer: 0, 1, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15 (b) -0.1 (c) -3\/133 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*l - 298 = -252*l + 55*l. Solve 96 = o - 4*x + 103, 3*x = 2*o - l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -43 (b) 2 (c) 2\/3 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 0.9 (c) 56.2 (d) 0 (e) -0.1 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 98.2 in -0.4, 0.3, 2, -0.5, -345?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12108 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 36160 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - -1)*((-3)\/21 + 34 + (-20889)\/630).\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3*t\/((t*t**(-1\/14)*t)\/t))\/((t*t**(4\/13)*t)\/t*t*t**(-14)\/t) assuming t is positive.\nAnswer: t**(2869\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + (5*(-1 + sqrt(363)) - sqrt(363))**2)*-1 + -4 - (sqrt(15) + sqrt(60)*4)\/(-2*sqrt(720)).\nAnswer: -5837 + 3435*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 3*i + 5, 615*i = 612*i + 4*d + 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 9*f**2 + 919*f + 1. Let p(q) = -376*q. Give b(p(h)).\nAnswer: 1272384*h**2 - 345544*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(-2*a + 3*a + a) + 0 + 0 - a - 2*a - 144 - 11 - 124.\nAnswer: -a - 279","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -0*g - 4*g. Let x = g - -14. Solve x = -5*k + q + 23, k + 2*k + 3*q - 3 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2604 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 equal to 106686359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 3*t + 35, -3*c = -2*c - 3*t - 20. Solve 5*g + 29 = -5*l + 2*g, c*l + 11 = 3*g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22120032 + 3?\nAnswer: -22120023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.092815 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 0*o**2 + 323 + 4299*o + o**3 + 316 + 2*o**2 - 4297*o - 639. Let p = 1 - 3. Determine z(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4*k**5 - 2472*k**4 - 106700*k**3 + 383192*k**2 + 7559424*k + 17906560 = 0.\nAnswer: -571, -49, -4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3)**(-37)\/((h\/(h\/(h\/h**(-7)*h)))\/h**(-1)) assuming h is positive.\nAnswer: h**(-121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3238.558 milligrams?\nAnswer: 3238558000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/8 + 2\/(-5). Which is the closest to u? (a) 2\/3 (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**0*c)**35 assuming c is positive.\nAnswer: c**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*c = 228, c = 3*c - 4. Suppose 3*n - 5*u = -w, 5 = -2*u + 3*u. Is 2 - 4 - n - -1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 852281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -7 - (45 + -41).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*a - 85*a + 24. Let m(y) = -a*y + 45 + 43 - 88. What is m(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*w = 14, 0 = -3*g - w - 0*w + 22. Let f(b) = 1 + 1 + 0 - g*b. Calculate f(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 36. Let z(k) = 2*k**2 - l*k**2 + 3*k**2. Let m(i) = 11*i. Give m(z(h)).\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 11:21 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 4:56 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/14*(-12)\/150?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002615 rounded to seven dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**4\/24 - 4*u**3\/3 + 3*u**2\/2 - 1. Let i(h) be the second derivative of v(h). Let r be i(-7). Is r <= -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - x**2 + x + 1. Let j(l) = 5*l**3. Let d(b) = -j(b) - s(b). What is the units digit of d(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 64, -1 in increasing order.\nAnswer: -5, -1, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Let r = t + 1. Let j = r - 2.8. What is the third smallest value in j, 2\/15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42\/4 + (-3)\/6. Suppose p*n - 13*n = -42. Suppose -28 - n = -6*u. Solve -u*t = -3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11893 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(1248\/(-845))*66. Calculate the highest common factor of k and 1144.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-4)*100\/(-150)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3522 and 536518.\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + u)*(2*u + 2 - 2) + (2 + 2*u - 2)*(0*u + 2*u - 4*u) + (-5*u + 5*u - 3*u)*(0*u + 0*u + u).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + x - 1134*x**3 - 28*x**4 - 1135*x**3 - 3*x**2 + 2269*x**3 in the form u*x**2 + z*x**3 + l*x + t*x**4 + w and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (58\/6)\/((-2)\/(-6)). Suppose -5*s = -4*d + j, 2 = -3*s - 1. What is the units digit of d + (1 - 1) + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**5\/15 + t**4\/24 + 228*t**2. Let k(m) = -17*m**2 - 5*m. Calculate 2*k(v) + 9*u(v).\nAnswer: 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*u**2*v**3 - 3*u**2*v**2 + 1033*u**2 - 2*v wrt v?\nAnswer: -24*u**2*v**2 - 6*u**2*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 590*d**2*f**2 - 32*d*f**2 + 5*d + 1 wrt d?\nAnswer: 1180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -9*y**6\/10 + 50*y**2 + 67*y + 37. Let h(j) be the first derivative of r(j). Differentiate h(u) with respect to u.\nAnswer: -108*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 0.1, -18101\/2, -1\/152, 14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-34)*824\/206.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2927, -3689, -4451, -5213?\n\"Answer: -762*o - 2165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**4\/24 + q**3\/6 - 65*q**2 - q. Let u(k) = -k**2 + k - 1. Determine 2*u(j) + 2*w(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2010*j - 3047. Let f(o) = 5026*o - 7622. Let v(l) = -5*f(l) + 13*y(l). Find the first derivative of v(d) wrt d.\nAnswer: 1000","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*-1)\/(247\/(-5928))*3\/(-6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 2587016.\nAnswer: 7761048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y = -23*y + 14*y - 319 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 5)*(-32*h**5 + 180*h**5 + 36*h**5)*(1 - 4 - 1).\nAnswer: 2208*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 280 + -280.000156. What is p rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 68*x**3 - 4. Let y be (-12 - -15 - -3) + -12. Let i(o) = -17*o**3 + 1. Determine y*m(q) - 22*i(q).\nAnswer: -34*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**4 - 155*r - 151*r + 1 + 286*r + (r**2 + 0*r**2 + 0*r**2)*(10*r**2 - 2*r**2 - 2*r**2).\nAnswer: 9*r**4 - 20*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 6\/769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10008829444801+-0.035\nAnswer: -10008829444801.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6408 - -1162. Let y be -2320*(2\/7 - n\/14). Round y to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7181 and 167.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 + 1 - 1 + (0*h - h + 0*h)*(-h + 4 - 4)*(h - 4 + 4).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24595 + -43128. Let c = 27645 + -40112. Let j = d + c. Round j to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 3*w**2 + w - 2. Let i be p(-4). Suppose -16 = -2*n + i. Let o be 54 + (0 - 0 - 2). Calculate the highest common divisor of n and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 171080372\/29 and 5899322 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4119 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 0) + 1 - (46 - 46)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(81)\/sqrt(12)*1*-3)\/(sqrt(90)\/(sqrt(50)\/sqrt(5)) + sqrt(900) + (sqrt(900) - (sqrt(900)*-2 - sqrt(900)))).\nAnswer: -3*sqrt(3)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(28\/(-14)))\/(1\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/14)\/(9\/(-12)). Let l = 0.01 + -1.01. Sort l, -0.1, r in descending order.\nAnswer: -0.1, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 - 4 - 1041*x + 1094*x + 6 + (x - 2*x + 2*x)*(11*x + 5 - 5).\nAnswer: 9*x**2 + 53*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52754, -52751, -52750, -52751, -52754, -52759?\nAnswer: -52766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389555 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-3 + 1 - -1)) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2613*h - 52231. Calculate m(20).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 - 9390228*d**2 + 11022057126720*d - 22044076692544.\nAnswer: 2*(d - 2347556)**2*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2888507276\/(-264) - (-2)\/3. Let b = d - -10939364. Let x = b - -1949. What is the common denominator of -3\/8 and x?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/15 + (-72)\/(-15). Suppose -39 = -k*s + 66. Suppose -4*a = 5*o - 1 - s, a + 3 = 3*o. Solve 1 = -2*v + a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -104, -132, -184, -272, -408, -604, -872, -1224?\n\"Answer: -2*h**3 - 14*h - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30198 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.958544 to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1139475.\nAnswer: 3, 5, 15193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77170, -77068, -76898, -76660, -76354?\nAnswer: -75980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22138 - 7164. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -400 - -410. Solve 4*h + g = -6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.24 - -0.14. Let n = 3 + -3.05. Let c = i - n. What is c rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10387682*x**5 - 747931336*x**4 - 2315140374*x**3 - 1554087140*x**2 + 2733016*x - 1200 = 0.\nAnswer: -2, -1, 2\/2279, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1344 divided by 3\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260 and 29720.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -334315.\nAnswer: -2\/334315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/(-10))\/((-11)\/(165\/(-6))). Sort 0.3, 0.6, w, -3 in increasing order.\nAnswer: w, -3, 0.3, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/(-168))\/(1\/(-4))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-3\/2)*t)**(-32)*(t**(-1))**(-19) assuming t is positive.\nAnswer: t**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 11*g**2 - 10*g + 4. Let i be y(10). Let s = 0 + i. What is the derivative of 4*z**3 + 3*z**s - 2 - 4*z**3 + 4 wrt z?\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/1158 and 5 - (-7 + 20)*(-7)\/(-27).\nAnswer: 10422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21106142, -42212286, -63318430?\n\"Answer: -21106144*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1271961*w**2 - 251666*w wrt w?\nAnswer: 2543922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 155 + -1087\/7. Which is smaller: 0.1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/18 - (-2140)\/(-90). Let d = 3 - i. Let k = -16 + d. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25\/4 - (-10)\/(-40) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11396 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -4430185\nAnswer: 886037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 u, and 1 o when four letters picked without replacement from vgugoocvvo.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 1:16 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 9. Let w(q) = 22*q**2 + 232*q - 78. Let o be w(-11). Put o, 2, y in descending order.\nAnswer: o, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 15. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2772, -2672, -2570, -2466?\nAnswer: -2360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*h**2*z**2 + 889*h**2*z + 104*h**2 - 40022*h*z**2 - 171*z**2 wrt h?\nAnswer: 38*z**2 + 1778*z + 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.5 (b) -1\/10 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/(40\/(-264))*(-4)\/2.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**2\/z)\/z)**(2\/107))**(-7) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 8100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {q: 7, s: 6}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 43*t**4\/4 - 2*t**3\/3 - 210*t - 16. Find the first derivative of m(u) wrt u.\nAnswer: 129*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 times -54\nAnswer: -3996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/(-3) + -3 + 0. Find the third derivative of 0*k**4 - 25*k**2 + 4*k**4 + 3*k**4 + 17*k**l wrt k.\nAnswer: 576*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/4*(436\/(-238) - (-8)\/68).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 17*m + 2. Let d = 4950 - 4938. What is o(d)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 14*l**2 - 3*l - 16. Let n be f(-14). Which is smaller: 27 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -420 + 761. Calculate the lowest common multiple of r and 31.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 23*x + 9. What is the units digit of m(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/160, 4, 4.2?\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and 44137703.\nAnswer: 44137711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhhzhhzzhzzh. What is prob of picking 2 h?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47946\/4135 + -4\/827. Suppose 712 = 5*t - t. Find the common denominator of 4\/(-12) - t\/(-12) and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/60*4\/3. Let v = 8 - 4. Which is the third biggest value? (a) 0.1 (b) f (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0 (c) 94998 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 2*x - 0*x - 724. Calculate the remainder when x is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -95*y + 97*y, 5*y = 4*t - 23 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(187))\/(sqrt(11) - sqrt(275)*1).\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 3 + 5 + -15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 + 21*t - 61. Suppose 36 = -5*q + 31. Let r(u) = -1. Let c(g) = q*r(g) - p(g). Differentiate c(k) with respect to k.\nAnswer: 4*k - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 5:55 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1077208786 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 5*p**2 + 2*p + 12. Let q be n(-5). Solve -5*f + z + 9 = -f, q*f + z = 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78\/35 - 44\/5. What is the common denominator of (-168)\/110*10\/4 and f?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 10:46 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**5 + 722*z**4 + 65520*z**3 + 64800*z**2 = 0.\nAnswer: -180, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1461*j**6*x - 35*j**3*x + 2*j**2*x - 2*j**2 + 322*j + 62*x wrt j?\nAnswer: 175320*j**3*x - 210*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3148 - 7050 = -4*r, -15293 = -3*w - 4*r. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 - -31 - (-2 + 38 + -10)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d**3 - 4*d**2 + 4. Let v be -5 + 0 + -1 + 3. Let n(h) = 0*h**2 + 6*h**3 + 3 - 4*h**2 + h**2 - 2*h**3. Give v*r(y) + 4*n(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-6))\/((52\/8)\/13)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16759.\nAnswer: 16759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 178, 163?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -74 * -0.043.\nAnswer: 3.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.3 + 5.2. Put -5, p, 2\/11 in increasing order.\nAnswer: -5, p, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, w: 3, q: 1, e: 1, u: 2, t: 3}. What is prob of picking 3 w?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 19*x + 18. Let n(v) = v**2 + 18*v + 17. Let j(y) = -3*d(y) + 2*n(y). Let l be j(-9). Suppose -2*z + 232 = -l. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - -0.8. Let i = 1.9 + y. What is the third biggest value in -0.2, 5, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.9469 + 0.0069. Let l = -10 - i. What is the third smallest value in l, -3, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46419.49 to the nearest 1000.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*p**3\/8 - 25*p**2\/8 - 11*p\/8 + 1\/8.\nAnswer: -(p + 1)**2*(13*p - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -v + 14, 0*t = 3*t - v + 10. Suppose 30 = 6*b + 9*b. Let s(h) = -h**2 - 8*h + 1. Let g be s(-8). Sort g, t, b in descending order.\nAnswer: b, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + 5 + sqrt(1100) + (sqrt(1100) + 2*sqrt(1100))**2 + 2*(sqrt(1100) + 1 + sqrt(1100)).\nAnswer: 50*sqrt(11) + 9914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00282489 rounded to four dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -149 - 199. Suppose 4*t = -17 + h. Solve 16*j - t = 19*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 883*i. Let v(r) = -3*r. Calculate 5*a(n) - 40*v(n).\nAnswer: 4535*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 70 = -v + 6*v, -28 = -5*k + 27 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 17 + 139. Let z(j) = 62 + 2*j - 3*j - k. Let q be z(-4). Solve -q*i - 4*l - 10 = -1, -40 = 4*i - 5*l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 2*a**2 - 3*a + 3. What is c(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**2 - 10 - 27 + y - 15 + y**2 in the form i*y + v*y**2 + s and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -20. Suppose 4 = 4*i - 0*u + 2*u, 5*i - u = 12. What is the lowest common multiple of i and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/6339 or -1?\nAnswer: -4\/6339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 12:24 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 51.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) -13\/4 (b) -0.4 (c) -3215 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -5*d - 3*j - 3564, 0 = 4*d + 2*j - 14242. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k + 4. Let i(x) = -14*x + 394440 - 394440. Calculate i(h(o)).\nAnswer: -28*o - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 12) to base 6\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 2*i**2 + i + 6. Let o be b(0). What is the tens digit of (-565)\/(-10) - 3\/o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 830382, 1660764, 2491146, 3321528?\n\"Answer: 830382*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/4 (b) 7528 (c) 9 (d) 15\/17 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*(-30 - 610\/(-20))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 979 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i**2 + 12*i + 7. Let x(w) = 3*w**2 - 8*w - 5. Let v(k) = -5*p(k) - 8*x(k). Let r(y) = -2*y**2 + 20*y - 36. Let u be r(8). Determine v(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10290 - 59342 = 2048*j for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 + 532\/12)\/(6\/63 - 0). Calculate the greatest common divisor of o and 231.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 1\/2*p**2 + 0 - 1\/6*p**3 + 11*p. Let x(s) = -2*s**2 + 2*s - 1. Calculate 2*m(k) + x(k).\nAnswer: -2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 56562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -165\/4 + 41. Let h = -4.6 - -4.5. What is the nearest to h in -1, -6, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 80\/(((-222)\/(-72))\/37). Let j = 155 + -125. Calculate the greatest common factor of z and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.664 + -0.2\nAnswer: -3.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(140 - 142 + 4*m + 5*m).\nAnswer: 9*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 179 - 188. Which is the closest to -1? (a) -2 (b) -5 (c) q (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 35. Let l be a(0). What is the third derivative of y - 2*y**2 - y + l*y**3 - 5*y**2 wrt y?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14656232933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 - -60. Solve 6 = -5*w - t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 51220833?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 221 + -217. Suppose -62*a + 60*a = -x. Solve 10 = 3*k + a*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1372 or 1362?\nAnswer: 1372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*j - 44*j + 93 - 45 - 3*j**3 - 48.\nAnswer: -3*j**3 - 109*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/4583 in 3, 1\/3, 0.34, 74?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 113.692 + -0.692. Let t = 1064.6 + -1164. Let q = j + t. What is q rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53730 (base 8) to base 15\nAnswer: -69e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/7 - 22*b**3\/7 + 60*b**2\/7.\nAnswer: 2*b**2*(b - 6)*(b - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 263 = -3*o + 26, o = -1. Let n be h\/162 - (-4)\/(-18). Let f = -11 - -14. What is the biggest value in -5, -1\/2, f, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, -312, 1\/4, -1\/2, 1044.6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from poelopp. Give prob of picking 1 p, 1 e, and 1 l.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**3\/6 + 11*y - 2. Let h(b) = 2*b**2 + 24*b. Calculate h(o(j)).\nAnswer: 2*j**2 + 24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 920 - 899. What is the greatest common factor of 15540 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35, 137, 307, 545, 851?\n\"Answer: 34*r**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (11766\/(-530))\/((-1)\/130).\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -833 > -839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)\/n)**(-31)*(n**(2\/7)*n)**44*((n*n**(-3)*n*n)\/n*n*n**(2\/5))\/((n\/(n\/(n\/(n**(2\/5)*n*n)*n)))\/(n**(-1\/5)*n*n)) assuming n is positive.\nAnswer: n**(5326\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.08 + -8. Let r = t - 0.08. Suppose 4*p - 12 = 4*i, -23 + 9 = -4*p + 3*i. What is the third biggest value in r, p, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1485\/(-75))\/11)\/((-6)\/4)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244223836.\nAnswer: 2, 17, 73, 49199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 122 + -64. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126352 divided by 4\nAnswer: 31588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -7*i + 15. Suppose 5*v = h + 45, h + i = v - 0*v. Suppose -18 = -3*m - 3*n, -3*m + 4 = -n - 3*n. What is the highest common factor of m and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12767733 is divided by 303993?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p - p + 9*p + 0*p. Let i(f) = 10*f. Calculate i(k(g)).\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14466905.4 less than 2879.114?\nAnswer: 14469784.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -68050 divided by -1\nAnswer: 68050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1638805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60516239 and 1033?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n + 68 = -26*n. Calculate the remainder when ((-6303)\/275 - -23) + (-3246)\/(-50) is divided by n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86804 is divided by 933?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -803 - -811. What is the highest common factor of d and 66?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 1220202?\nAnswer: 1220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -88, 2, 1, 16, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, -213.38, -0.08, 0.1 in increasing order.\nAnswer: -213.38, -0.08, 0.1, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 175321787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 49. Let x = r - -4. Let p = -2 + 1. Which is the biggest value? (a) x (b) -2\/13 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 97*j. Let r(d) = 61 - 33 + 2*d - 28. Determine c(r(y)).\nAnswer: 8*y**2 + 194*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctpc when four letters picked without replacement from rcrrcrapcccctcp?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 143 + -142. Suppose 0 = -2*k + 7*k - 25. Let b(y) = 2*y**2 - 2*y + 3. Let c(o) = 4*o**2 - 3*o + 5. Let i(m) = k*b(m) - 3*c(m). Give i(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 81373.58084808 and -0.5.\nAnswer: 81373.08084808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*f**2 + 455 - 457 + 327*f**2.\nAnswer: 4*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3 + 4. Let u(w) = -w**3 + 7*w**2 + 8*w - 12. Let m be u(8). Let j = -8 - m. Calculate the remainder when c is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2935489 is divided by 2607.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25152 + -16938. What are the prime factors of x?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 3*p**2 - p + 343. Let b be k(0). Solve -b*d + 344*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1557790*d - 1.\nAnswer: -1557790*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154387 is divided by 31.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*w + 3, 0 = -w + 4*w + 4*j + 21. Solve -q = w, -6*q = s - 9*q - 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 67. Find the first derivative of -6 + 2*u - g*u - 17*u - 8 wrt u.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(19) + sqrt(19)*-1*4 + sqrt(19))**2.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.6 plus -0.165673429?\nAnswer: 5.434326571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 204000 = -0*o - k, 204000 = -4*o - 2*k. Round o to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1348, 4, 16743, -4 in ascending order.\nAnswer: -1348, -4, -3, 4, 16743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 3.9. Let d = c - 0.4. Let i = 160 + -478\/3. What is the nearest to i in d, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + l. Let s be n(-1). Let z(q) be the first derivative of -q**4\/4 - q**2\/2 + 6*q + 5. Calculate z(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -2*4) + -3. Suppose -2*t = z - 19, 14 + 12 = 4*t - 2*z. Suppose -t*o = -10*o + 6. Solve 2 = -o*n + q*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*v = 44*v + 39*v - 87102. What is v rounded to the nearest 10?\nAnswer: -3230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012127 to 4 dps.\nAnswer: 0.0121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 34 = -29 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 15696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100111111111011101111 (base 2) to base 15.\nAnswer: 73b086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 28 = -i + 10 - 70, -4*i = u - i + 27 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1426 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 249 and -0.4218?\nAnswer: 249.4218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 78*t**2 - 158*t + 10185. Determine c(-74).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36001353, -36001346, -36001339, -36001332, -36001325, -36001318?\nAnswer: -36001311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1461463 is divided by 3299.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8154 and 1998?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27311.1 + -27311. What is the second biggest value in 2\/3, z, 0, -0.4, -320?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32854218*z**2 + 85781*z + 37?\nAnswer: 65708436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2808 and 78?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -37*v**2 + 236*v + 1708. Calculate u(-8).\nAnswer: -2548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11422 + -1?\nAnswer: -11423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**3*i - 8820*h**3 - 3632*h**2*i + 2*i wrt h.\nAnswer: -12*i - 52920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*a**3*t**3 + 4*a**3*t**2 + 32*a**3*t + a**3 + 14933*a**2*t**3 - 3*t**2 + 1 wrt a?\nAnswer: 48*t**3 + 24*t**2 + 192*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4270*f + 4271*f = 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8, -20, -42, -74?\n\"Answer: -5*h**2 + 3*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -441 + -2?\nAnswer: -443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, h: 3, m: 9}. Give prob of sequence ggg.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l + 4. Let w be y(0). Solve 10 - 2 = -w*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/22*25575\/18600\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000054895447 to 7 decimal places.\nAnswer: -0.0000549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(-3*a + a + 0*a)*(-5 + 5 + 10*a**2).\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -9*g**3 - 36*g - 13*g**3 + 25*g**3 - 9*g**3 + 36*g**2. Let p(x) = -x**3 + 5*x**2 - 5*x. Calculate 5*m(s) - 36*p(s).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/((-525)\/(-280))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4278 + 4022 = -16*n for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 722*u**2 - 5*u - 7. Let b(k) = -360*k**2 - 2*k - 3. Give -5*b(f) + 2*g(f).\nAnswer: -2*f**3 + 356*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.5192181 to two dps.\nAnswer: 3.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.06, 8, -1, -7, -3\/8, -1\/2, -14\/57?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m = -5*m - 147 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 + c**4 + 2*c**4 + 0*c**3 - 2*c**4 + 0*c**3 + (11*c**2 - 3*c**2 - c**2)*(c**2 + 0*c**2 - 3*c**2) - 3*c**4 + c**4 + 3*c**4 - c**4 + c**4 - 3*c**4.\nAnswer: -15*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-8618)\/(-5))\/(4212\/120 + -35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 34*m - 33*m. Suppose -3*n + 2*p + 399 = 0, -247 = -2*n - 2*p - 3*p. Suppose v = -4*h + n, -m*h = h + 5*v - 77. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*q)**(4\/11)*(q**0)**(25\/4) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6*w + 0)*(7*w - 9*w - 16*w)*(-4*w + w + 0*w) + 3*w**3 - 4*w - 3*w + 6*w.\nAnswer: -321*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (13\/104)\/((-22)\/(-776)) and -79\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqppqqq. Give prob of picking 2 p and 2 q.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (-4 - -1) + (6 - (6 - -7))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 477773677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 0.4 (c) -1\/7 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2471 divide 838452307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 6*c. Suppose c*r + r = 17. Let g = 1368 + -1362. What is the remainder when r is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115064 and 175636?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - 240) + 241 + (-1 - -42)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjjh when four letters picked without replacement from yyjjah.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*p = 2382, 0 = 1001*n - 1003*n + p + 2379. Calculate the lowest common multiple of n and 396.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 6*z + 4. Let b be o(-5). Let d = b - -11. Let p be (1 + 7)\/(4\/d). What is the greatest common factor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-15))\/(-4*(-3)\/30)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(32\/(-18))*-34*11\/(-5049)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -133 + 130. Sort l, 2\/7, -2 in ascending order.\nAnswer: l, -2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 1*9)\/((-20)\/(-10)). Suppose -c*m - 2*p + p = 1144, -5*m - 3*p - 1423 = 0. Let y = -186 - m. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 0*n + 0*n**2 - 28 - 14\/3*n**3. Let q(f) = -11*f**2. Give j(q(p)).\nAnswer: -1694*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*h**2 - 31*h**2 - 11*h**2 + (0 - h + 0)*(0*h + 4*h - 2*h) + (4 - 4 + 2*h**2)*(-10 + 3 - 3).\nAnswer: -91*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k + 5. Let o(z) = 5*z - 4. Let h(b) = 5*o(b) + 4*q(b). Let p(l) = -19*l. Give h(p(n)).\nAnswer: -19*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnittintifftln. Give prob of picking 1 i and 1 l.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 10:02 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 10:39 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40111?\nAnswer: 40111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6500f (base 16) to base 8\nAnswer: -1450017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-706)\/(-6001) + 320\/(-119))\/(0 + -2)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1043 smaller than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3014 and 468886?\nAnswer: 64237382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 976.141 nanograms?\nAnswer: 0.000000000000976141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -220803 (base 10) in base 9?\nAnswer: -365786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -46*x**3 + 2*x**2 + x - 2. Let b be y(1). Let k = 172 + b. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdpzzpkhphnphzkpphzp. What is prob of sequence dh?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(112) + 5 + (-1 + 2*sqrt(112) + sqrt(112) + sqrt(112) - sqrt(112)) + -4)**2.\nAnswer: -1793 + 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 12*f + f. Let i be 10\/(-4)*(-23)\/((-1380)\/(-336)). Calculate the highest common factor of f and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-108)\/(-24) - 5)*41\/(-2)*-52. Which is greater: u or -535?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -133 + 147. Let b = 4 + -3. Let h be 0 - (b - 1 - 3). Solve -10 = -2*v, h*y + 0*v + p = v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**2 - 59526*a + 43251 wrt a?\nAnswer: 4*a - 59526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7688, -7742, -7830, -7958, -8132?\nAnswer: -8358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*b**2 + 4*b - 9*b + 5*b to the form j*b**2 + r + z*b and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 8:51 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 306.91556 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vudvuuussjs. Give prob of sequence svuj.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-42)\/(-9) + 19\/57.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a311 - 344?\nAnswer: 19c9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 4*w + 2*w**3)*(-3 + 2 + 2) - 194*w**2 + 2*w**3 + 194*w**2 + 84.\nAnswer: 4*w**3 + 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 12*d + 3*d - 1 + 4. Let a be x(9). Suppose -5*s + 127 = -s + a*n, 4*s - 139 = n. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 908975.5mg to nanograms.\nAnswer: 908975500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 15*l. Let f(m) = 18*m**2 + 15861 - 15861. Calculate x(f(t)).\nAnswer: 270*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -151.3095 and 0.059?\nAnswer: -8.9272605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -586 divided by -15.\nAnswer: 586\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 5167\nAnswer: -20668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -4, 0.019, -21, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.05 - 0.05. Let x = -8 + o. Let z(h) = h**3 + 6*h**2 - h - 2. Let d be z(-6). Put -1\/4, d, x in increasing order.\nAnswer: -1\/4, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 7*p**2 - 7*p - 18. Let v be o(-8). Suppose y - v + 90 = 0. Calculate the smallest common multiple of 4 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 8. Let d be n(6). Let l = -8 - d. What is the smallest common multiple of 6 and (-20)\/(2 - l) + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 10.3 (c) -3 (d) -17 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 + 7. Let s = 46 + f. Put 2, s, -3 in decreasing order.\nAnswer: 2, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**5\/60 + u**4\/3 - 7*u**3\/6 - 7*u**2. Let b be w(5). Let i(c) = 2*c - 8. Is i(b) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n. Let k(m) = m**3 - 7*m**2 + 5*m + 4. Let p be k(6). Let t(z) = 9*z. What is p*t(o) + 21*j(o)?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 51217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24762769 by -798799.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -8. Differentiate 1 - c*j + 2 - 4 wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 + d - 5. Suppose -u - 2*u + 9 = 0. Let a(o) = 2*o**2 - 4. Let w(j) = u*p(j) - 4*a(j). Does 5 divide w(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2513 or -2511?\nAnswer: -2513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.071\nAnswer: -0.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 13 = 3*x, -23 + 59 = -3*u - 3*x for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23433 + -1324?\nAnswer: 22104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 60 and -1.6928240105.\nAnswer: 58.3071759895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*i - 21334 - 67812 = 0, -7*i = 5*y + 89136. What is y rounded to the nearest one hundred?\nAnswer: -17800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72263\/642960 + -81\/752. Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -4)*20\/(-16)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -3*q**5\/10 - 9*q**4\/4 - 3*q**3\/2 + 6*q**2 - 43*q - 44. Let w(a) be the first derivative of n(a). Factor w(p).\nAnswer: -3*(p + 1)*(p + 4)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1020760972?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 1*(1 + 6*(-1*sqrt(288) + sqrt(288))))*-4)**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -14*y - 407. Give p(-31).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-39)\/(-6) - (-3)\/2. List the prime factors of (b\/(-3))\/((-2)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1432.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*x - 83*x = -4461. What are the prime factors of x?\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 498 + -17428\/35. Let f(n) = -n + 5. Let u be f(8). Let c(j) = -j**3 - 4*j**2 - 4*j - 4. Let h be c(u). Is h <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 219\/22 + -126\/11. Let w be ((-4)\/(-78))\/((-4)\/(-12)). Which is the smallest value? (a) w (b) -7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b84 (base 13) to base 8.\nAnswer: 25003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4262554 (base 7) to base 10.\nAnswer: -519586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-81)\/18*(-8)\/(-6). Let s be -1 + (2 - 0) - 1. Sort 3, s, c in decreasing order.\nAnswer: 3, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-200)\/(-60)*(0 - 6\/(-4)). Solve f*o = b + 3, -3*b + 7 = -0*o + o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1442 = 4*n + 1426, 0 = 5*l + n - 69 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 81900 * 0.1\nAnswer: 8190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.34, 654, 887 in descending order.\nAnswer: 887, 654, -0.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71935469?\nAnswer: 31, 53, 43783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 w, 1 c, and 1 x when four letters picked without replacement from {c: 1, b: 1, x: 8, w: 1, d: 1, m: 1}.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 3:46 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h - 7. Let c be t(-3). What is the third derivative of -2*b**3 + 7*b**3 - b**c - 2*b**2 + 0*b**2 wrt b?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235430767 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, p: 2, d: 1, a: 1}. Give prob of picking 1 a and 1 d.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 17 + 5 = 0. Suppose 3*c - 6 = -g. Suppose -2*d - u + 8 = -0*u, 5*d - 30 = -5*u. Which is bigger: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and (-2176)\/(-153) - 2\/9?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -273964 divided by 68491?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -759 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*a + 2728 - 17624 = -1015*a for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -2) + 3 + 1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-32)\/(f*f**(2\/19)\/f*f))**(-9\/7) assuming f is positive.\nAnswer: f**(5661\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 244.9193 decades in years?\nAnswer: 2449.193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15712, -63814, -143984, -256222?\n\"Answer: -16034*y**2 + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003555 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24016, 48039, 72062, 96085, 120108, 144131?\nAnswer: 168154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 24*q**2 + 67*q - 7. Let p be c(5). Suppose -939*k = -p*k. Suppose -1\/5*n**3 - 1\/5*n + k + 2\/5*n**2 = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*(sqrt(343) + -2 - sqrt(343)) + sqrt(343) + 3).\nAnswer: -21*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -141335.7?\nAnswer: 28267.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15276\/(-11970) - (60\/(-28) + 1). Which is the fourth smallest value? (a) -2\/9 (b) r (c) 4 (d) -92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-7 - (-58 - 25) - 3).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*q + 108*q = -123496. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -229625 + 0.303\nAnswer: -229624.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 6*j**2 - j + 8. Let x be r(6). Let t = 75 + x. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -400 - -400. Let j(l) = -6*l - 15. Determine j(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-2) - -3) + 86. Let c = -203 - -143. Let s = c + y. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417878974 is divided by 1398.\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - c - 5*c**2. Let a(h) be the third derivative of h**4\/24 - 7*h**2. Calculate a(s(u)).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 + 27 = 3*o. Let l be 6\/(-4)*(-32)\/o. Solve l*b - 2 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x**2 - 3*x - 9. Let j be y(-5). Suppose j - 768 = -f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423410?\nAnswer: 2, 5, 13, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -213650797471 and 29.\nAnswer: -213650797442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 2581*m**2 - 251357*m - 248775.\nAnswer: (m - 2675)*(m + 1)*(m + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107340552*g**3 + 169479684*g**2\/5 - 880294*g\/5 - 2319529\/5 = 0 for g.\nAnswer: -1\/10, 1523\/7326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = -1676*g + 1825*g. Sort -2\/11, 443, -2\/7, g, 5 in descending order.\nAnswer: 443, 5, -2\/11, -2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69701 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24.44 - -0.44. Let w = 19 + p. Which is the closest to -2\/7? (a) 0.3 (b) -1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 7*o - 12 = 2*o, -4*n = -5*o - 12. Let q(p) = p**2 + 2*p - 2. List the prime factors of q(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22795 - -22799. Solve 2*r - 24 = -105*d + 110*d, -y*d = 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21884527.\nAnswer: 7, 83, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1296607.8 months?\nAnswer: 108050.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**4\/2 + k**3\/3 + 6*k**2. Is 9 a factor of q(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -b**7\/1680 + b**6\/360 - b**5\/240 - b**3\/3 - 3. Let u(n) be the third derivative of l(n). Suppose u(f) = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 28*y - 12. Suppose u - 10 = -4*u. List the prime factors of ((-296)\/(-2))\/u - y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45052*o**2*v**4 + 9*o**2*v**2 + 8*o**2*v - 9*v wrt v.\nAnswer: -1081248*o**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2800)\/(-400) + (1 - 0\/(-2))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -0.07, -1\/17, -2\/13, -152?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(175\/21)*-1)\/(-51)?\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 + -37988?\nAnswer: -38002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-51)\/12)\/((-6)\/(-4))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = a + 6, u - a = -0*u + 2. Find the common denominator of (1\/5)\/(u\/109) and (-34)\/3*(-3)\/28.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + 41240000401?\nAnswer: 41240000412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 3. Suppose 2*n - 4 = -0. Let c(h) = n*h + 1 - 6 + 0. Calculate -3*c(i) + 5*w(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166396?\nAnswer: 2, 17, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 935?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 253\/(-141 - -94 - -58)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 115569, 115571, 115569, 115557, 115529?\n\"Answer: -f**3 + 4*f**2 - 3*f + 115569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**6\/180 + o**4\/8 - o**3 + 2. Let p(b) be the third derivative of d(b). What is the first derivative of p(m) wrt m?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from lnyyssnb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 2:53 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 22941*t**3 - 29*t**2 + 85*t + 16. Is k(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - 44. Suppose 0 = -5*a - 2*y + 42, -2*a - y + 32 = -4*y. Solve c = -t - 4*t + a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8800182.29278076 + 21271225.18678137. Let w = -12471043 + d. Let k = 0.106 + w. What is k rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a**2 + 4*a**2 - 3*a**2)*(22*a - 3*a - 34*a + 17*a - 288) to m*a**3 + l*a + i*a**2 + w and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o. Let x(a) be the second derivative of 7*a**3\/2 - 3*a + 2. Give l(x(y)).\nAnswer: -84*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8588*j*x**3 + 3*j + 2*x**2 + 131 wrt x?\nAnswer: 51528*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/973, -3, -1\/4, 2\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-4))\/((-25)\/(-20)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324\/13*g**2 + 352\/13*g + 48\/13*g**3 + 2\/13*g**4 - 726\/13 = 0. Calculate g.\nAnswer: -11, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7*k - 1148. Let b(z) = 8*z + 1145. Determine 5*b(r) + 6*d(r).\nAnswer: -2*r - 1163","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.517797 rounded to 3 dps?\nAnswer: -0.518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 28*t - 15. Let m be u(-6). Suppose 2*j + 5 = 41. Calculate the greatest common divisor of j and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37*z - 43*z + 50*z)*(0*z**2 - 3*z**2 - z**2) as j*z**2 + w + p*z**3 + o*z and give p.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 18620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1419 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58147798 to the nearest integer?\nAnswer: 7625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 42?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*p = -28742 - 2751. Is 413 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6494.25*5.\nAnswer: -32471.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7739591*h - h**2 + h**2 + 7*h**3 - 7739591*h.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/450 and -31\/4625.\nAnswer: 83250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*f = -44*f + 4. Factor -4*s**2 - 13*s**f + 20*s**3 + 19*s**4 - 12*s**4 - 2*s**5 - 18*s + 10.\nAnswer: -2*(s - 1)**3*(s + 1)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 3\/5 (b) 73 (c) 5 (d) -2\/9 (e) 44 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 6:08 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*s + 64 = -2*a, 4*a - 42 = -2*s. Suppose 0 = 3*l + 5*n - 4380, 0 = 2*l + 19*n - s*n - 2916. What are the prime factors of l?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/192*20)\/(1\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from krrrrrkrr.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 9. Let b be h(-8). Let x be 3*b\/((-12)\/(-128)). Calculate the greatest common factor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*y + 52?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3 - 13*u + 54*u**2 - u**3 - 31*u**2 - 41*u**2. Let y be g(-17). Let n = -61 - y. Which is smaller: 32\/7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/1*((3 - 2) + -2). Does 34 divide ((-3318)\/(-7) - y) + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 3*u. Let b(t) = t. Let q(l) = 3*b(l) - z(l). Let o(d) = -2*d. What is o(q(f))?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.131595344554 plus -0.4?\nAnswer: -0.268404655446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*n - 2 = -2*k, 5*n = -k + 12. List the prime factors of 0\/3 - (k - 0) - -114.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36.68 + -0.68. Let b = 4.56 + 33.44. Let i = b - p. What is the second smallest value in i, -1, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 7) in base 12?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*x + 7 = 0, -5*l + 3*x = 2*x - 17. Which is bigger: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 6. Let l be q(6). Suppose 4*t + h = 2*h + 24400000, l = t - 3*h - 6100000. Round t to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668534733?\nAnswer: 3, 74281637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/11 + 118*z**2\/11 + 1308*z\/11 + 2160\/11.\nAnswer: 2*(z + 2)*(z + 12)*(z + 45)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 49. Let r(i) = 53. What is 2*j(h) - 3*r(h)?\nAnswer: -2*h - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*j + 60 = -82*j. Suppose 0 = d + 5*n - 7, -j*d + 18*d = 4*n - 17. What is the closest to 0 in 0.2, d, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*j - 53*j**2 + 22*j + 20*j in the form s + a*j**2 + r*j and give a.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1 + sqrt(1216))*6 + 1)**2 + 1*(sqrt(1539) - (sqrt(1539) + (4*sqrt(1539)*-1 - sqrt(1539))))**2 + -5.\nAnswer: 864*sqrt(19) + 82327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -27?\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11001110011000111110 (base 2) to base 12\nAnswer: 34927a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8729234*j**3 - 3118220*j wrt j?\nAnswer: -52375404*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -9\/11, 1958\/9 in decreasing order.\nAnswer: 1958\/9, 4\/5, -9\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -852*f + 2465 = -997*f for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -144 + 287\/2. Suppose 0 = k - 2*k. Which is smaller: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-4)*4\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**5 - 1119*w**4 - 123024*w**3 - 2999484*w**2 + 50266656*w - 165571776 = 0.\nAnswer: -164, -57, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -19*a**3 - 2*a**2 + a + 2. What is the smallest common multiple of 42 and w(-1)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x = -23*x - 22*x + 1180521. List the prime factors of x.\nAnswer: 3, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 7497*c**2 - 10 - 15.\nAnswer: 7497*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/53, -3, -2, -50, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.35 + 0.05. Which is the nearest to -1\/3? (a) 1\/6 (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/809? (a) 0.3 (b) -1 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 983813 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*h - 573 + 203 = 0 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 251 - 246. Suppose 5*r - 3*d - 291 = r, -d + g = r. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 1\/540*a**6 + 4*a**2 - 7\/3*a**3 - 1\/18*a**4 + 0*a + 1\/180*a**5 + 0. Let r(c) be the first derivative of m(c). Factor r(q).\nAnswer: 2*(q - 1)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 0.5, -0.3, -330, -4\/29, -1\/3, 9\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a40aa + 95?\nAnswer: -a4015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 14*p**2 + p + 18. Let v be d(-14). Find the third derivative of -3*o**4 + 4*o**4 - 4*o**v - 10*o**2 + 2*o**4 wrt o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((4 + sqrt(891) + -3)**2 - (5 + sqrt(275)*3)) + -5)*-5.\nAnswer: -4430 - 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1333923.\nAnswer: 3, 444641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = 18598 - 49441. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*16\/((-28080)\/45).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afj when three letters picked without replacement from adsjf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000105322407 rounded to 6 decimal places?\nAnswer: 0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*1*1 + sqrt(78) - (sqrt(78) + (sqrt(78) + sqrt(78)*1)*-1))*-5)\/(sqrt(30)\/((sqrt(5) - sqrt(35)\/(5*sqrt(7))) + sqrt(5))*-1).\nAnswer: 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 16 = -5*w - 26, 2*k = -w. Solve -11 = -k*x - 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -15.2924840445.\nAnswer: -15.0924840445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4))**(-40) assuming i is positive.\nAnswer: i**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (92 + 541 - 119)*(3 + 3 - 5)*(1 - 1 + 2*v**2) in the form k*v + o*v**2 + p and give o.\nAnswer: 1028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -59.5353\nAnswer: -59.2353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 2. What is the units digit of k(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 6. Suppose 3*m - 2*l + 0 - 2 = j, 4*m - 4*l = 0. Let b(s) = 6*s**2 + s. Does 19 divide b(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**2 - 9*r**2 + 18*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11132320 (base 4) to base 11.\nAnswer: 15965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11 - ((-33 - -19) + 16)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2331 + -0.5.\nAnswer: -0.7331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 62*x + 74. Let f(s) = s + 12. Let w(r) = 6*f(r) - m(r). Let a(q) = -11*q**2. Determine w(a(p)).\nAnswer: 616*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 - -51. Suppose -3*t + 198 = -l. Let m be 0\/((-2)\/(-1)) + 15. What is the greatest common factor of t and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11182*d - 1784*d + 5090*d - 10932*d as s + a*d and give a.\nAnswer: -18808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111100 (base 6) to base 2.\nAnswer: -1101101010101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 200521 (base 10) to base 12\nAnswer: 98061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*s**2 - 15*s**2 - 8*s**2 + 284*s**2 as t*s**2 + f*s + z and give t.\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -1. Let z be -2 + d + 0 + 1. Let s = 2 - z. Solve -t + 17 = 4*b + s, -b = -5*t - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -324 less than -247302?\nAnswer: -246978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1216, -1402, -1708, -2134, -2680, -3346?\nAnswer: -4132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**5 - 314*f**4 - 14280*f**3 + 48736*f**2 + 4848896*f + 9393696 = 0?\nAnswer: -26, -2, 18, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 5:50 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 + -16726. What are the prime factors of (-1)\/(63\/(-14)) + b\/(-27)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -736*v**3 + 1404*v**3 - 1 - 669*v**3 - v. Let r(c) = 4*c + 28. Give 2*q(x) + r(x).\nAnswer: -2*x**3 + 2*x + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*d + 33 = 0, -17 = 5*d + 8. Let b be (-2)\/y - 8\/(-24). Is b not equal to -7\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 371, 1, 0, -5, 2 in descending order.\nAnswer: 371, 2, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 61 and 24.\nAnswer: 1464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131.97512 - 132. Let y = 0.0301 + q. What is y rounded to four dps?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 5*u - 2. Let j be n(-6). Let b(l) = 161*l**3 - l**2 - 277*l + 277. Let i be b(1). What is the greatest common factor of j and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 1342410333?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29388 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 33, -11823, -5, 4 in decreasing order.\nAnswer: 33, 4, -2, -5, -11823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084046181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 16 + 10*y)*(-1 + 2 + 0 - 3 - 3 + 3 + (-1 + 5 - 2)*(1 - 6 + 3) + 2 + 1 + 1 + 45 - 26 - 7).\nAnswer: 100*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a - 1. Let f(t) = 52504*t - 17. Let y(g) = -3*f(g) + 15*r(g). Let x be y(-12). Round x to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 12:07 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) - (sqrt(190) + (sqrt(190)*-1 + sqrt(190))*1)) + sqrt(190))\/sqrt(10))**2*2.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-3*(sqrt(1216) + -1) + sqrt(1216) - (-1 + sqrt(1216) + 5 + sqrt(1216) + sqrt(1216))) + -5 - (sqrt(1216) + -1 + 1 - (-1 + sqrt(1216))*-1))**2.\nAnswer: 560*sqrt(19) + 59605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4) + ((-56)\/32)\/7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(3*w - 3*w - 2*w)*(2 + 0 - 27).\nAnswer: -100*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, 34, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123592 is divided by 2686?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/18*(-7 + 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7697 + d + 7697.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 36*d + 15*d - 10*d + (-3 - 3 + 5)*(-2*d + 2*d - d).\nAnswer: -30*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 7*x - 11*x + 4*x. Let h(u) = 2*u**2. Give h(i(m)).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -438*j + 12 = -435*j. Suppose -j*t = -39 - 5. Calculate the remainder when 6\/(-2) + 3 - -75 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, 2\/3, -10, -0.6, 0.4, 2\/61?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 1928420*y + 163951825.\nAnswer: -5*(y - 85)*(y + 385769)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005114 rounded to four decimal places?\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -28, 1 in ascending order.\nAnswer: -28, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 - 9*x - 45. Let c(o) = -o**2 - 4*o - 23. Determine 9*c(p) - 4*k(p).\nAnswer: -p**2 - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9857, 38106, 84747, 149780, 233205, 335022?\nAnswer: 455231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 350740 + 0.044.\nAnswer: 350740.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85 (base 10) to base 3.\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5930531 and 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21884439, -21884421, -21884393, -21884349, -21884283, -21884189, -21884061, -21883893?\n\"Answer: j**3 - j**2 + 14*j - 21884453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11013312 - 11?\nAnswer: 11013301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2057 + 9662. Suppose -3*p - 3 = 0, p - 399 = -5*z + j. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t - 3 = 19*t - 3*u, -5*t + u - 17 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18522000 rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x - 409. Let l be g(59). Suppose -4*j = -2*j. Let i(t) = -t**3. Let p be i(j). Solve 3*s + 22 = 2*u, p = 5*u + l*s - 5 - 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/3))**(-35))**(-1\/11)\/(((((k*k\/((k\/(k**(3\/4)*k))\/k))\/k)\/k*k)\/k**(-3\/4))\/(k**0)**(-1\/39)) assuming k is positive.\nAnswer: k**(-161\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/171 and -17\/102828.\nAnswer: 308484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 + 3*h + 6 + 3*h - 2*h as y*h**3 + u*h + c*h**2 + l and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 242080 and 17952.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/8 - (-114)\/24. Let w = n - 3. Suppose -3*u - w*u + 3*j + 2000006 = 0, 4*u = 3*j + 1600006. Round u to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 354825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 + 28*w - 37 + 10*w - 33.\nAnswer: 38*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -64, -71, -80, -91, -104?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 9 = 2*x + x, -4*l = 2*x + 14. Let a be (15 - x)*(-9)\/18. Let r(j) = -j**2 - 7*j + 5. Determine r(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 + 3)*(-t**3 - 5*t**3 + 3*t**3).\nAnswer: -30*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40949502?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 235 divided by -3\nAnswer: -235\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.5974601 decades?\nAnswer: 0.005974601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10428783 and 9?\nAnswer: 31286349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -644*r**3 + 140*r**3 - 28*r**3.\nAnswer: -532*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (26 + -28 + 13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 28. Let c(o) = 2*o**3 - 2*o**2 + o. Let g be c(1). Suppose 3*p + 3 = 0, -4*p - g = -5*s + 3. Determine n(s).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 9. Suppose 4*b = -k*g + 6*g - 8, 4*b - 4 = 0. What is the first derivative of -3 + g*f + 0*f + 0 wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-1\/35))\/(t*t**2))**31 assuming t is positive.\nAnswer: t**(-2139\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -6*q - 15. Suppose 0 = -q*m + 5 + 1. Solve -18 = 2*v - 0*v - 4*t, -m*v = -5*t + 21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 133*m**4 + 270?\nAnswer: 532*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 39*l**5\/100 - 41*l**4\/20 - 23*l**3\/5 + 12*l**2\/5 + 95*l - 1. What is f in v(f) = 0?\nAnswer: -1, 2\/13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(189)*2*-1)\/(((sqrt(105)*2)\/sqrt(7))\/(sqrt(10)\/sqrt(2)*5)).\nAnswer: -60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00872996716 to four dps.\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10370 or 507?\nAnswer: 10370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 11*s - 133 = 9*s, 2*l - 50 = -4*s. Suppose 4*x - 5*w = 759, 5*w - l = -2. Does 49 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13727650 (base 8) to base 3.\nAnswer: 12212202220200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-64)\/10 - (-4)\/10. Let q(a) = -7*a**3 + 30*a**2 - 18*a - 1. Let n(f) = -4*f**3 + 19*f**2 - 12*f - 1. Let y(h) = -5*n(h) + 3*q(h). Calculate y(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 924164, 3696306, 8316542, 14784872, 23101296, 33265814, 45278426?\n\"Answer: 924047*w**2 + w + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 785641837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -7030421.\nAnswer: -14060842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -28. Solve 2*o + i = 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35036*c = 34999*c - 703 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 6\/229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11, 49, 137, 299, 559, 941, 1469, 2167?\n\"Answer: 4*i**3 + i**2 + 7*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l**4\/3 + 382*l**3\/9 + 674*l**2\/9 + 70*l\/3 + 2 = 0. What is l?\nAnswer: -3, -1\/5, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 1. Let c be g(-6). Suppose 0 = c*j - 313 - 322. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -10*l**2. Let j(p) = -p + 3. Let c(s) = -6*s + 16. Suppose -10 = -3*t - t + 2*d, 2*d - 5 = -t. Let o(h) = t*c(h) - 16*j(h). Calculate o(v(f)).\nAnswer: 20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 50*x**2 + 20*x - 18. Suppose w - 282 = -2*r + 5*w, 2*r = -2*w + 312. What is the remainder when r is divided by k(1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17679 or -1290550\/73?\nAnswer: -1290550\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -164453 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*u + 228 - 228)*(-576 + 300 - 267) as d + g*u and give g.\nAnswer: -4887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 408528205 to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3*z)\/(z**(1\/4)*z)*(z*z\/(z*z**(-1)))**13*(((z**(-7)\/z)\/z*z)\/z*z\/(z\/(z*z*z**4*z*z)*z))**(-26) assuming z is positive.\nAnswer: z**(323\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 224565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.2, -3, -88 in ascending order.\nAnswer: -88, -3, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2797933 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 10*z**2 - 4*z - 19. Let t = 58 - 20. Suppose 2*l = v - 6*v - 7, 2*l - 4*v = t. Is d(l) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399056295 is divided by 4775?\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4418096?\nAnswer: 2, 17, 37, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 8*f**2 + 11*f + 20. What is n(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46.888 - -0.212. Round r to zero decimal places.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 715, 1430, 2145, 2860, 3575, 4290?\n\"Answer: 715*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 17 - 17 = 0. Let l = -11 + p. Calculate the smallest common multiple of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*p, -6*j - 5*p = -2*j - 24. Let r(h) = h**3 + h**2 - h - 1. Let z be r(0). List the prime factors of 25 + j - 1*z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 203\/88 + -24\/11. Let q(x) = x**3 - x**2 + x - 4*x + x. Let u be q(2). Which is smaller: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107052 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -62955 divided by -6995?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w - 4 = 20*w - 41*w - 6*i, -4*w - 15*i - 8 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -54879 divided by -18293\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -325, 0, 2 in decreasing order.\nAnswer: 2, 0, -1, -325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -692077, -692135, -692231, -692365, -692537, -692747, -692995?\nAnswer: -693281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*y = -1 - 9, 4*y = -4*i - 20. Suppose 14 = -5*z - 16. Let b be (-16)\/z*(-1)\/2. Which is smaller: b or i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*t + 731 = -2145 - 309. Solve 92*i - t*i + 135 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 23, 101, 231, 413, 647, 933, 1271?\n\"Answer: 26*u**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/(9\/(-12)) + 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -5*r**3 - 27*r**2\/2 + 6*r - 8. Determine d so that a(d) = 0.\nAnswer: -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five halves of a decade?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 8*u + 13. Give o(9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d**2 - 4*d - 6. Let t(l) = -l**2 - l + 1. Let b(h) = 4*t(h) - x(h). Is b(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 - 717487?\nAnswer: -717516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 - 384 = -124*p. What is the third smallest value in -4, 0, -7, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 11 - 1. Let a be (1 + -1)\/(8\/(-4)). What are the prime factors of 20 + y - (0 - a)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120 - -120.194. Let y = x - 25.294. Round y to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44699593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10126, -10187, -10302, -10477, -10718, -11031, -11422, -11897?\n\"Answer: -q**3 - 21*q**2 + 9*q - 10113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5802 + 1695 = -2*r + c, r + 4*c - 2076 = 0. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -2\/1723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 7*a**2 + 14*a + 9. Let r be q(-3). Solve 0 = -x + u + r - 2, 0 = -2*x + 3*u - 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 20*m + 3. Let l be r(0). Sort l, 0, 6, -110 in descending order.\nAnswer: 6, l, 0, -110","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 + 0.5. Let n = -31.4 - -5.4. Let i = 26 + n. Which is smaller: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-8) - 10\/20. Solve i = 3*w - 12 - 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*s**2 - 15*s**2 - 14*s**5 + s**5 wrt s.\nAnswer: -780*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*w**3 + 4*a**3 + 3*a**2*w**2 - 3*a**2*w - 1386*a + 1126168*w**3 - 7 wrt w?\nAnswer: -6*a**3*w + 6*a**2 + 6757008*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 6*j - 6. Suppose j*n = -28 + 286. What are the prime factors of n?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -158*n. Let w(m) = -222*m. Determine i(w(g)).\nAnswer: 35076*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3\/2 (b) -1.52 (c) -5 (d) -2\/3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 32*j**2 - 130*j - 45. Is 4 a factor of m(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*n**6 + 13552*n**4 - 1032*n**2 + 2*n + 10.\nAnswer: 960*n**3 + 325248*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + -41. Suppose 28*f - n = 26*f. Suppose -u = 3*u - 48. Solve -f*m + m + u = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-1000)*-8*1*-3.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 + 1718222227\nAnswer: 1718222227.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*y - 21 = 0, -y - 12 = 5*l - 11. Solve -7*p + 8 = l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17\/(68\/(-63)) + 1\/(-4). What is the biggest value in -3, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -334*x - 1976. Let f be n(-6). Calculate the greatest common divisor of f and 148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by 1135.\nAnswer: 38\/1135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 7) to base 14.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160701 and 9013230.\nAnswer: 207304290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13223 - 1223.38\nAnswer: -14446.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010 - 12211101020?\nAnswer: -12211100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*b*q**3 - b*q**2 - 2*b*q*x + b*q + 28*b*x + 6*q**3*x - 3*q**3 - 11*x wrt q.\nAnswer: -174*b*q - 2*b + 36*q*x - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 > -1789\/249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 195, 396, 595, 792, 987, 1180?\n\"Answer: -g**2 + 204*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*(-2)\/16*1\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 - (48 - (-39 + 74)) - -56.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u + 25. Let m be w(-6). Is 34 a factor of (152\/(-20) + -3)*m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 2*j = -2, -7347 = -u - j - 7346 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/81 and -97\/162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2178 - 1.4342. Round w to 2 decimal places.\nAnswer: -1.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8226 = -18*d - 0*d. List the prime factors of d.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 3*t + 4. Let r be k(3). Let g(v) = v**3 + 14*v**2 + 41*v + 579. Let l be g(-14). Suppose -r*s + l*s - 30 = 0. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -430 divided by 2?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -7*m**2 - 5*m + 7. Let q(t) = -t**2 - t. Let w(j) = l(j) - 6*q(j). Give w(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1382.5 plus -1.56975936?\nAnswer: -1384.06975936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -256625 (base 9) in base 5?\nAnswer: -14441121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 - 2. Let v be l(2). Suppose 0 = 3*u + 2*i + 1, 5*i - v = u + 4*u. What is the tens digit of (u\/(-2))\/(2\/48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**5 + 22*t**2 + 849*t - 188. What is the derivative of i(d) wrt d?\nAnswer: 20*d**3 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*u**5 + 4\/9*u**2 - 1\/3*u**4 + 0*u - 1\/9 - 2\/9*u**3.\nAnswer: (u - 1)**3*(u + 1)*(2*u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17343 - -14019.1. Round l to the nearest one hundred.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 1 (b) -96 (c) -2 (d) 10 (e) -6\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*l - 6 = 0, -o = -0*o + 4*l + 9. Let y = 16 - 11. Suppose -y*j + o = -23. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 528 and 28.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 4*y + 2420 - 2425, 3*z + y = 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 520 + -390. Suppose -4*h + j = 114. Solve -z - h = -4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 14*o + 5. Let q(u) be the second derivative of -u**3\/3 + 178*u - 1. Give q(b(p)).\nAnswer: -28*p - 10","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 164, 165, 164, 161, 156, 149, 140?\n\"Answer: -i**2 + 4*i + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2321012 - 30?\nAnswer: 2320322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 41*i**2 - 352*i - 19. Is r(73) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.826 - 0.174. Which is the fourth smallest value? (a) -0.4 (b) 27 (c) 5 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 106\/(-159)*6\/178. Which is the nearest to -2? (a) -3 (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5522.17 years to millennia.\nAnswer: 5.52217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -10. Let m = -87 + 86. Is m >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2) + 3)*2)**2.\nAnswer: -48*sqrt(2) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3106 + -2563. Calculate the remainder when x is divided by 43.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3525*j**2 + j + 389 wrt j.\nAnswer: 7050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 10:43 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -205.\nAnswer: 3\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3250 and 1040?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(12*3\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1773, 2, -12\/11, 5?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 38193 and 19.6?\nAnswer: 38173.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31543\/2 or 0.2154?\nAnswer: 31543\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190 divided by 5.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 95*y**2 - 13*y + 15. What are the prime factors of h(13)?\nAnswer: 15901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212794 is divided by 8077.\nAnswer: 2792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -0.054, 3, -4, 88497?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -686 = -2*h - 5*h. Calculate the remainder when h is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/37125 and 41\/66?\nAnswer: 74250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*z - 9 + 31. What is k in 0*k - 3\/4*k**z + 0 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4593996 and 222.\nAnswer: 169977852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2\/33, -4, 2\/7, -78, 2\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 76016976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/27)\/(1\/2). Let n = 32 - 32.2. Let m be 1 - ((-6)\/3 + 35\/15). What is the closest to 0.1 in m, o, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -3*h. Solve -u - 4*u + 25 = h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004155193701 to 5 dps.\nAnswer: 0.00416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b + 3*b + 2*b + 6*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -7*n + 102. What is o(15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5748 (base 13) to base 3.\nAnswer: 121202220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -9547.\nAnswer: -2\/9547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59.4 + -59. Let k = 9.7 + -16.4. Let a = k + 7. What is the third biggest value in h, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 118 - (189 + -72) - 74.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 3 = -88. Suppose 3*l - i = -23 - 2, -3*i + 19 = -2*l. Let w(r) = -9*r. Let v(g) = 14*g. Give l*w(u) + q*v(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-2)\/((-8)\/12). Let b = 3 + y. Suppose d - 1 - 43 = b. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102 + 70. Let n = -780579.67 - -780547.670057. Let q = n - z. What is q rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3001*l - 11972*l + 2985*l + 2996*l - 33*l**2 + 2990*l.\nAnswer: -33*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 3*p + 105, 14 = 2*m - 4*p - 56. What are the prime factors of m?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1340 divide 42988540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81921, -163837, -245753?\nAnswer: -327669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3804563489 to the power of 1\/4, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44.9899 and 4?\nAnswer: -179.9596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 227.6 to 0 decimal places.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4137547*i*t**3 + i*t + 13003*i + 2*t + 21 wrt t?\nAnswer: 24825282*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -2, -980 in increasing order.\nAnswer: -980, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -41. Let a be (22 + u)*(-2)\/(-4). Let g(z) = 2*z - 14. Let x be g(a). Solve -d = -x*d + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2273679366 to the power of 1\/3, to the nearest integer?\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 - 0.01. Let d = -2873\/5 + 575. What is the second smallest value in d, 12, l, -2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 11490283.\nAnswer: 1149028.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.8 - 2. Let l = -11094.5 - -11094. Put 3, i, l in ascending order.\nAnswer: l, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73 - -103. Let b be -7 - (-51)\/g*4. Sort 2, b, 1\/3.\nAnswer: b, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*g = -5, 0*j + 3*j - 3*g = 15. Let m(y) = 1 - 10*y - 3 + 2 - j. Calculate the remainder when m(-2) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v*z**6 + 43*v*z**4 + 248*v*z**2 + 2*v wrt z.\nAnswer: 360*v*z**3 + 1032*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -19. Let p = 24 - a. Let b = -7.56 + p. Round b to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*z - 20034 = -61*z. Calculate the least common multiple of 22 and z.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35570 is divided by 2087?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, g: 11, y: 2}. Give prob of sequence gqyg.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 606, 1070, 1392, 1566, 1586, 1446, 1140?\nAnswer: 662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -820143\/305 - -2689. What is the second biggest value in 4, 3, u, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**8\/1512 + g**7\/135 - g**6\/30 + 2*g**5\/27 - 2*g**4\/27 - 2*g**2. Let i(c) = 0. What is c?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -29*x**2 + 24*x. Let n = 5 - 0. Let i(a) = -58*a**2 + 47*a. Let t(l) = n*q(l) - 3*i(l). What is the second derivative of t(f) wrt f?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*k = 2*i - 58, -i - 4*k = -41. Suppose -3*q = s + q - 21, -s - 3 = -2*q. What is the greatest common factor of s and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -5*a - 10027 + 9844, a - 2*h + 31 = 0 for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300*m + 928 + 12859 = -9913. Solve m*h - 651 = -14*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -1) + (9 - 9) - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1704313 = 2*d - 895707. Suppose 4*i = -2*z - 519992, -z = 4*z - 5*i + d. What is z rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = g + 4*g. Let j(d) = d**2 + d. Let z be j(-5). Suppose -2 - 14 = -4*r. Solve g = r*s + s + z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/303 and 29.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/(-84)*(-9)\/(-5))\/((-30)\/8)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + 4*-1)\/(-1). Suppose -m + 2 - f = 5*i, 2*m = 5*i + 32. Calculate the lowest common multiple of (-1 + -7)\/(-2*1) and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, l: 7, v: 3, x: 5, g: 3}. What is prob of picking 1 l and 3 x?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 144*t - 3054. Calculate x(26).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/3)*d\/d**(-4\/9)*(d*d**(1\/4))\/(d*d\/d**(-2\/13)*d*d) assuming d is positive.\nAnswer: d**(-371\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + sqrt(1872))**2 + 0 - ((3*sqrt(1872)*-4 - sqrt(1872))*5)**2.\nAnswer: -7907312 + 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 264377*q**3 + 1706*q**2 - 47*q - 2?\nAnswer: 1586262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3247 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 230 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 12) to base 10.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 7\/71, -3, -7, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4090344 by 12.\nAnswer: -340862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2 + q + 5. Let c(z) = 20 - 7*z**2 + 5*z - 23*z**2 + 43*z**2. What is 2*c(t) - 9*p(t)?\nAnswer: -t**2 + t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3*((-2)\/4 - -1))\/(-18). Let o(p) be the second derivative of -c*p**3 - 1\/24*p**4 + 3*p + 1\/4*p**2 + 1\/40*p**5 + 0. What is f in o(f) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 45.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42001, 43620, 45241, 46864, 48489?\nAnswer: 50116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u + 5. Let b be v(-11). Let z = -12 - b. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -5. Let u(k) be the second derivative of k**5\/20 + 3*k**4\/4 - k**3\/6 - 3*k**2\/2 + 5*k. Let a be u(s). Solve -a*c - 8 = -2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.643062 milliseconds in microseconds?\nAnswer: 8643.062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30770351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 480\/31 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25\/2 - 47\/4. Find t, given that 3\/4*t**3 + 0*t + 0 - p*t**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 116824 and 20.\nAnswer: 584120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -224.4, 7\/101, 0.4, 6\/5?\nAnswer: -224.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*p + 72*p = -8*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**2 - 23. Let o(j) be the first derivative of -2*j**3 - 45*j - 2. Let n(z) = -13*k(z) + 6*o(z). Differentiate n(x) with respect to x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/948354 and 83\/264?\nAnswer: 3793416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -1714\nAnswer: -3\/857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 24 = -3*d - 9*a, 0 = a - 1. Suppose -4*y = -2*c - 60, -3*c + d*c = -2*y + 50. What is the greatest common factor of y and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470 is divided by 132.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1900) + -1 + 3 + (sqrt(1900) + 0)*4 + 4.\nAnswer: 6 + 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 22 = 38. Factor 2*b**2 + f*b + 32 + 0*b**2 - 3 - 5.\nAnswer: 2*(b + 2)*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 42*i**3 + 23*i**3 - 4*i**4 + i**4 - 5*i + 20*i**3 + 2*i**2 + 0*i**2 as a*i**4 + y*i**3 + q*i**2 + z*i + h and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p - 283*p - 101*p - 7868 = 3979 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 915 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3313 - -3524?\nAnswer: 11241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x**2 + 140*x + 46 = 0. What is x?\nAnswer: -23, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 11:30 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7502289 from 0.03910574.\nAnswer: -7502288.96089426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 3:58 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/26 + 440\/(-1170). What is the closest to -0.3 in 1\/7, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26655 and 330.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*j + 3. Suppose 5*x = -0*x + 215. Let r = x - 173\/4. Which is the second biggest value? (a) 4\/7 (b) r (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence is when two letters picked without replacement from {s: 10, i: 3, x: 4, l: 3}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7664\/3353*(-7)\/(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -95. Let z = -238 - -338. Let s = z + f. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 + -26)*(-75 + 56).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3681.\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-20)\/(f\/f**(1\/15))*f**(-10)*f*f\/f**25 assuming f is positive.\nAnswer: f**(-809\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 89\/2, -1\/4, 2345, -1\/3 in descending order.\nAnswer: 2345, 89\/2, -1\/4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y**3 + 18*y**2. Let w(v) = 8*v**3 + 19*v**2. Let z(x) = 3*p(x) - 4*w(x). Find the third derivative of z(c) wrt c.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.4, 38, 132, 1, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*d = 3*d. Let y be ((-2)\/(-4))\/((-14)\/8). Which is smaller: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37259200.\nAnswer: 2, 5, 11, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**6\/60 - n**5\/12 - n**4\/12 - 2*n**3\/3 - 35*n**2. Let o be c(3). What is the units digit of o\/(-3)*6 + 93?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 + 67. Solve -u*d = -3*d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 24*s**2 + 2*s + 1. Suppose -u + 4 = -5*a, -2*a - 4*u - 4 - 2 = 0. What is the units digit of w(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + g + 4 = 0, 2 = 3*n - 5*g + 10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 433.5851 litres?\nAnswer: 433585.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5 + -4*(-5*-1*sqrt(143))\/(sqrt(11) - (sqrt(11) - ((sqrt(176)*-1 - sqrt(11)) + sqrt(11)) - sqrt(11)))*-4)**2.\nAnswer: -800*sqrt(13)\/3 + 83461\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 4:44 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27143021?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5 = -2. Let f be q*1\/(3\/2). Suppose f*b = -k - 0*k + 23, -3*k = -3*b - 87. What is the remainder when k is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, a: 1, c: 2, q: 2, x: 1}. Give prob of sequence aqqu.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from boblooblogovlwb. Give prob of sequence vlo.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 636.6 rounded to the nearest ten?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5618*w - 69403 - 72080 = 1599*w + 87600 for w.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 888 and 13667208?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-4)\/2 - ((-6)\/2 - -20).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75879 and 801.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 + 23*v - 6. Let o be m(-8). Suppose 79*r - 80*r - o = 0. What is the common denominator of (r\/(-88))\/((-21)\/3906) and -131\/24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 762 and 51708.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6308*0.33.\nAnswer: -2081.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 = -11. Let s(m) = m**2 + 11*m + 10. Let l be s(z). Suppose 5*b = 5*p + 55, l = -3*b + 4*p + 37 - 2. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 2769.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 61*s - 122*s + 55*s. Let a(m) = 3*m**2 - 2*m. Give t(a(z)).\nAnswer: -18*z**2 + 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**3*c - 295*b**2*c**3 - 513*b*c + 16905*c**3 + 24*c**2 wrt b?\nAnswer: -6*b**2*c - 590*b*c**3 - 513*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eighteen fifths of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/5 + 16002*d - 1280416\/5.\nAnswer: (d - 16)*(d + 80026)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977 - 16\/(-2)*3\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p - 4 + 2*p**3 + 0*p + 4*p**3 - 7*p**3 in the form j*p**2 + x + r*p**3 + d*p and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 72*m + 216. Let c be j(-3). Let p(a) = 4*a**2 + 9*a**2 + 8*a**2 + c - 15*a**2 + 6 + a**3. Let t(x) = -5*x**3 - 25*x**2 - 25. Give 25*p(l) + 6*t(l).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - 22a2?\nAnswer: -22b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126693179.\nAnswer: 43, 73, 40361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 8*t**2 - 43. Calculate q(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 (base 9) in base 14?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11255, -45353, -102277, -182027, -284603, -410005, -558233?\nAnswer: -729287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 1b9f?\nAnswer: -1b9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**5\/30 + s**4\/3 + s**3\/3 + 1709*s**2. Give d(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 19\/4 - (-1)\/4. Let t be -4 + 4 - (-6 - -2). Suppose -2*q - t = 3*q - x, -2 = 2*x. What is the nearest to q in -2, j, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = i - 12, -10*i = -5*i + 2*s - 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96529747 by -5080513.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -213024*n + 213167*n - 2145 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1980 = -285*m - 116 - 1324 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 244 * 83117.\nAnswer: 20280548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63364 is divided by 7918.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -95 + 44. Let m = 103 + x. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/5 + 3\/(-15). Suppose 2*u + 25 = b*m, -6 = -2*u - 16. Suppose x + r - 9 = 0, -m*x + 52 = 3*r + 5. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*l - z = 14, -5*l - 4*z - 5 = 0. Suppose -r + 8 = l*h - h, -4*h - 16 = 0. Calculate the remainder when r is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -283.617\nAnswer: -283.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5534598 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: Which is the nearest to -2? (a) 3 (b) -5 (c) 0.1 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -25215\nAnswer: -126075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from {l: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 20*v**2 - 19*v + 1. Let d be g(-19). Let s be 0 - -2 - 3 - d. Is (-556)\/(-2) + 0\/s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-6)*(-200)\/450.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7 + 0 + 6*w**2 + 2 + w**3 + 4*w. Suppose -11 - 23 = -5*r + o, -40 = -5*r - 5*o. Let z be 3\/6*4 - r. Determine s(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7045 and 5636?\nAnswer: 28180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/8 - (-3)\/4. Let l = -0.5 - -0.2. Let s = 0.774 - 0.374. Which is the biggest value? (a) p (b) l (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -0*r + 12. Let z be (7 - r)\/(6\/64). Suppose 3*q + 72 = 3*s, s = -q - 0*q + z. Solve 4*c + c = -d + s, 2*d = -5*c + 31 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.8+-96.2904331\nAnswer: -114.0904331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30909424 divided by 42458?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}